state whether the data is discrete or continuous

While working on these data, it is important to know the types of data to process them and get the right results. Samples that contain different individuals result in different data. One-third of a number when decreased by 2 equals one-fifth of the nimenbe Find the number. The data are discrete because the data can take on any value in an interval. A continuous data set because there are infinitely many possible values and those values cannot be counted. You can specify conditions of storing and accessing cookies in your browser. For the purpose of analysis, data are presented as the facts and figures collected together. If you sample without replacement, then the chance of picking the first person is ten out of 25, and then the chance of picking the second person (who is different) is nine out of 24 (you do not replace the first person). Tables are a good way of organizing and displaying data. Quantitative data may be either discrete or continuous. The data are continuous because the data can take How to Calculate the Percentage of Marks? Two graphs that are used to display qualitative data are pie charts and bar graphs. Thats why it is also known as Categorical Data. Examples are lengths, temperature, etc. Doreen uses systematic sampling and Jung uses cluster sampling. The data are continuous because the data can only take on specific values. The data are discrete because the data can take on any value in an interval. All students in those two years are in the sample. However the third random number, 0.14669, contains 14 (the fourth random number also contains 14), the fifth random number contains 05, and the seventh random number contains 04. The gender of a person, i.e., male, female, or others, is qualitative data. The data are continuous because the data can take on any value in an interval. B. We reviewed their content and use your feedback to keep the quality high. And this is the reason why most students find it to be an interesting subject. So, you will get the result too! Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. The table displays Ethnicity of Students but is missing the "Other/Unknown" category. on any value in an interval . The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. Its really normal for you to feel anxious before your exam especially when the subject is statistics. It was mentioned previously that two or more samples from the same population, taken randomly, and having close to the same characteristics of the population will likely be different from each other. Determine whether the data described below are qualitative or quantitative and explain why: . For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. You count discrete data. What is the main difference between discrete and continuous data? Discrete data is data that can only take certain values, while data that can take any value is continuous data. All the members from these clusters are in the cluster sample. For example, suppose Lisa wants to form a four-person study group (herself and three other people) from her pre-calculus class, which has 31 members not including Lisa. the number of classes you take per school year. CS State whether the data described below are discrete or continuous, and explain why. Lisa reads two-digit groups until she has chosen three class members (that is, she reads 0.94360 as the groups 94, 43, 36, 60). Probably not. Now, suppose we take a third sample. If there is a repeat press ENTER again. Notice that the frequencies do not add up to the total number of students. Surely, you can get all the study material on Vedantu mobile app- learn live online. D. The Ivy's house is at E, 750 feet from the intersection. These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. For instance, hair color might be black, dark brown, light brown, blonde, gray, or red. Which two towers are closest together. c. But still, their samples would be, in all likelihood, different from each other. Continuous information is information that falls into a continuous series. However for practical reasons, in most populations, simple random sampling is done without replacement. To find the average annual income of all adults in the United States, sample U.S. congressmen. These values do not have to be complete numbers, but they are values that are fixed. QUESTIONState whether the data described below are discrete or continuous, and explain why. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. B.The data are discrete because the data can only take on specific values. It only contains finite values, the subdivision of which is not possible. O A. Those 100 students are the sample. To four decimal places, these numbers are not equivalent. There are no strict rules concerning which graphs to use. Therefore this is discrete data. Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. We have grown leaps and bounds to be the best Online Tuition Website in India with immensely talented Vedantu Master Teachers, from the most reputed institutions. State whether the data described below are discrete or continuous, and explain why The speeds of the different people walking in a park Choose the correct answer below. These kinds of data are also known as Numerical data. Statistical data needs to be critically analyzed, not simply accepted. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. These 18 quiz scores are a stratified sample. Cloudflare Ray ID: 7a2992ec2e151da5 2013. Biased samples that are not representative of the population give results that are inaccurate and not valid. The continuous variable can take any value within a range. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. The type of data that has clear spaces between values is discrete data. a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. The numbers of hotels in cities Choose the correct answer below. If you feel tired at the moment, even that too is fine. What are the career options in the field of Statistics? Which experiment had the correct results? You measure continuous data. The measure of ZQ is 10 less than the measure of LP. The size of a sample (often called the number of observations) is important. The points are associated with an unbroken line. The first sample probably consists of science-oriented students. The data are continuous because the data can only take on specific values. The ordinal data only shows the sequences and cannot use for statistical analysis. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. It answers the questions like how much, how many, and how often. For example, the price of a phone, the computers ram, the height or weight of a person, etc., falls under quantitative data. Weights are quantitative continuous data because weights are measured. The data are discrete because the data can only take on specific values. O C. The data are continuous because the data can take on any value in an interval. The easiest method to describe is called a simple random sample. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Press ENTER two more times for the other 2 random numbers. The data are because.continuous the data can only take on specific values C. 2003-2023 Chegg Inc. All rights reserved. Q: State whether the data below are discrete or continuous, explain why. Question: State whether the data described below are discrete or continuous, and explain why. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. Look at Figures \(\PageIndex{3}\) and \(\PageIndex{4}\) and determine which graph (pie or bar) you think displays the comparisons better. the number of data values is increased), their sample results (the average amount of time a student sleeps) might be closer to the actual population average. C. The data are Try to identify additional data sets in this example. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. If quantitative, state whether it's discrete or continuous. The percent columns make comparing the same categories in the colleges easier. The durations of a chemical reaction comma repeated . The sample probably consists more of people who prefer music because it is a concert event. This data is so important for us that it becomes important to handle and store it properly, without any error. The total number of students in a class is an example of discrete data. If you count the number of phone calls you receive for each day of the week, you might get values such as zero, one, two, or three. 2003-2023 Chegg Inc. All rights reserved. If she needed to, Lisa could have generated more random numbers. To choose a systematic sample, randomly select a starting point and take every nth piece of data from a listing of the population. Create a stratified sample by column. discrete because the data can only take on specific values . Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. Show how you know. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. Nominal data.Ordinal data.Discrete data.Continuous data. It is classified into two broad categories: qualitative data and quantitative data. For example, you could stratify (group) your college population by department and then choose a proportionate simple random sample from each stratum (each department) to get a stratified random sample. interval. Just as there is variation in data, there is variation in samples. To find the average GPA of all students in a university, use all honor students at the university as the sample. The actual process of sampling causes sampling errors. It is from a continuousdata set because 218+ Consultants 4.7 Satisfaction rate We choose ten different part-time students from the disciplines of chemistry, math, English, psychology, sociology, history, nursing, physical education, art, and early childhood development. For example, if the population is 25 people, the sample is ten, and you are sampling with replacement for any particular sample, then the chance of picking the first person is ten out of 25, and the chance of picking a different second person is nine out of 25 (you replace the first person). Notice that backpacks carrying three books can have different weights. This is important to know when we think about what the data are telling us. Zanas house is at A, 500 feet from the intersection, and Tan's house is at B, 750 feet from F. Which distance is longer, the distance from Zana's house to Tan's house or the distance from Theresa's house to Is house? state whether the data is continous or discrete The durations of a chemical reaction comma repeated several times Choose the correct answer below. Legal. The class boundaries are 10 to less than 13, 13 to less than 16, 16 to less than 19, 19 to less than 22, and 22 to less than 25. four children shared a two third liter bottle of drink equal.how much did each child drink , two pairs of hikers leave the same camp heading in opposite divections. categorical, quantitative discrete or quantitative continuous. O A. Three cell phone towers form APQR. Press ENTER. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. The result of the rolling is a dice is 1, 2, 3, 4, 5, 6, 7, and 8. They may be related (correlated) because of their relationship through a different variable. The Literary Digest Poll, Virtual Laboratories in Probability and Statistics, Gallup Presidential Election Trial-Heat Trends, 19362008, Gallup Politics. In some situations, having small samples is unavoidable and can still be used to draw conclusions. It can be the version of an android phone, the height of a person, the length of an object, etc. The action you just performed triggered the security solution. The station uses convenience sampling and surveys the first 200 people they meet at one of the stations music concert events. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. However, generally, we use age as a discrete, NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 8 Social Science, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. b. To find out the most popular cereal among young people under the age of ten, stand outside a large supermarket for three hours and speak to every twentieth child under age ten who enters the supermarket. Experts are tested by Chegg as specialists in their subject area. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. Since this is the case, sampling without replacement is approximately the same as sampling with replacement because the chance of picking the same individual more than once with replacement is very low. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. A. We are interested in the average amount of money a part-time student spends on books in the fall term. Two positions of an open gate are shown. and it is subdivided into nominal and ordinal data. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . The data are discrete because the data can only take on specific values. . Numeric variables represent characteristics that you can express as numbers rather than descriptive language. pair starts due east and then turns 50 toward north. the data can only take on specific values . For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. The job of the statistician is to see through the variability and draw appropriate conclusions. The data are continuous because the data can only take on specific values. Your email address will not be published. 2013 - 2023 Great Lakes E-Learning Services Pvt. Which pair is farther from camp? What type of data is this? A defective counting device can cause a nonsampling error. For example, suppose you have to do a phone survey. Data may come from a population or from a sample. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? Sometimes percentages add up to be more than 100% (or less than 100%). The areas of the lawns are 144 sq. 1.2.13 State whether the data described below are discrete or continuous and explain why.The times required by students to complete a statistics test Choose the correct answer below. The chart in Figure \(\PageIndex{6}\) is organized by the size of each wedge, which makes it a more visually informative graph than the unsorted, alphabetical graph in Figure \(\PageIndex{6}\). Instead of that, just revise what youve already done. Create a systematic sample of 12 quiz scores. Indicate whether quantitative data are continuous or discrete. The data are continuous because The road from A to E and the road from C and D are perpendicular and intersect at point F. Theresa's house is at C, 500 feet from the intersection. Solution: - Data : The capacities of different hotels. Besides the chemistry course, some of them are also taking first-term calculus. Variation is present in any set of data. 134.209.154.177 Doreen and Jung each take samples of 500 students. Quantitative data can be used for statistical manipulation. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. There are many different potential problems that can affect the reliability of a sample. B. But graphs can be even more helpful in understanding the data. However, if two or more of you are taking the same data and get very different results, it is time for you and the others to reevaluate your data-taking methods and your accuracy. Discrete data is a sort of numerical data that consists of full, concrete numbers that have particular and fixed data values that are determined by counting. Sleep deprivation is of no use, instead, you should take a nap to relax the nerves of your brain in order to learn and study later. A stated earlier, Lengths are in general, continuous variables. As a class, determine whether or not the following samples are representative. state whether the data is continous or discrete The durations of The discrete data contain the values that fall under integers or whole numbers. Click to reveal The list of fruit is nominal. If we were to examine two samples representing the same population, even if we used random sampling methods for the samples, they would not be exactly the same. For example, the number of subjects in a course, the number of families living in a block, the number of digits in a code, etc. The exact distances (in centimeters) between the chairs in a college classroom. Suppose ABC College has 10,000 part-time students (the population). The exact lengths (in kilometers) of the ocean coastlines of different countries. c. The data are continuous because the data can take on any value in an interval. Pick three quiz scores randomly from each column. It is classified into two broad categories: qualitative data and quantitative data. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. OC. Problems with samples: A sample must be representative of the population. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. For example, a computer software store conducts a marketing study by interviewing potential customers who happen to be in the store browsing through the available software. This pie chart shows the students in each year, which is qualitative data. Self-selected samples: Responses only by people who choose to respond, such as call-in surveys, are often unreliable. The data are discrete because the data can take on any value in an interval. Step 2: Discrete and continuous data. The name nominal comes from the Latin name nomen, which means name. With the help of nominal data, we cant do any numerical tasks or cant give any order to sort the data. So is the case of statistics too. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. The tables display counts (frequencies) and percentages or proportions (relative frequencies). State whether the data described below are discrete or continuous, and explain why. To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. O C. The data are continuous because the data can. The following graph is the same as the previous graph but the Other/Unknown percent (9.6%) has been included. These data consist of audio, images, symbols, or text. Indicate whether quantitative data are continuous or discrete. Determine whether the value is from a discrete or continuous It is from a discrete data set because the number of possible values is infinite and countable. It includes only those values which are separate and can only be counted in whole numbers or integers, which means that the data can not be split into fractions or decimals. The exact lengths (in kilometers) of the ocean coastlines of different countries. Starting with that student, every 50th student is chosen until 75 students are included in the sample. The colors red, black, black, green, and gray are qualitative data. From that number, count ten quiz scores and record that quiz score. Hint: Data that are discrete often start with the words "the number of.". A. Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. In polling, samples that are from 1,200 to 1,500 observations are considered large enough and good enough if the survey is random and is well done. Ducks in a pond are discrete data because the number of ducks is a finite number. The data are continuous because the data can take Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. To choose a simple random sample of size three from the other members of her class, Lisa could put all 31 names in a hat, shake the hat, close her eyes, and pick out three names. A type of sampling that is non-random is convenience sampling. Many of these students are taking first term calculus in addition to the organic chemistry class. Collecting data carelessly can have devastating results. O A. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. Explain your reasoning. This page titled 1.2: Variables and Types of Data is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. Be aware that many large samples are biased. The data are the number of books students carry in their backpacks. Can we have both discrete data and continuous data from the same experiment? You can also visit their website. It is further classified as discrete data and continuous data. Instead, we use a sample of the population. Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. Your IP: B. State whether each situation is categorical or quantitative. Also read: 22 Top Data Science Books Learn Data Science Like an Expert. 10. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. Otherwise, the variable is nominal. Items a, e, f, k, and l are quantitative discrete; items d, j, and n are quantitative continuous; items b, c, g, h, i, and m are qualitative. a chemical reaction comma repeated several times Choose the correct . Position 1 is less than the distance from G to H in Position 2. according to measurement accuracy, it can be significantly subdivided into smaller sections. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. What type of data does this graph show? The other examples of qualitative data are : Difference between Nominal and Ordinal Data, Difference between Discrete and Continuous Data, 22 Top Data Science Books Learn Data Science Like an Expert, PGP In Data Science and Business Analytics, PGP In Artificial Intelligence And Machine Learning, Nominal data cant be quantified, neither they have any intrinsic ordering, Ordinal data gives some kind of sequential order by their position on the scale, Nominal data is qualitative data or categorical data, Ordinal data is said to be in-between qualitative data and quantitative data, They dont provide any quantitative value, neither can we perform any arithmetical operation, They provide sequence and can assign numbers to ordinal data but cannot perform the arithmetical operation, Nominal data cannot be used to compare with one another, Ordinal data can help to compare one item with another by ranking or ordering, Discrete data are countable and finite; they are whole numbers or integers, Continuous data are measurable; they are in the form of fractions or decimal, Discrete data are represented mainly by bar graphs, Continuous data are represented in the form of a histogram, The values cannot be divided into subdivisions into smaller pieces, The values can be divided into subdivisions into smaller pieces, Discrete data have spaces between the values, Continuous data are in the form of a continuous sequence, Opinion on something (agree, disagree, or neutral), Colour of hair (Blonde, red, Brown, Black, etc. Procrastination isnt even the last option if you are preparing for a statistics exam. ), Marital status (Single, Widowed, Married), When companies ask for feedback, experience, or satisfaction on a scale of 1 to 10, Letter grades in the exam (A, B, C, D, etc. 8. The data are continuous because the data can only take on specific values . The bar graph is used to graphically represent discrete data. As you become accustomed to sampling, the variability will begin to seem natural. b. State whether the data described below are discrete or? Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. and the Michigan State University Institutional Animal Care and Use Committee prior to the start of data collection. Nominal Data is used to label variables without any order or quantitative value. A. Data from www.bookofodds.com/Relationsh-the-President. All you can do right now is to just take a deep breath and believe in yourself! Note: randInt(0, 30, 3) will generate 3 random numbers. Work collaboratively to determine the correct data type (quantitative or qualitative). If the survey is done well, the answer is yes. The data are continuous because the data can take on any value in an interval. C. However, generally, we use age as a discrete variable. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. Discrete. However, in the real world age is often treated as a discrete variable because it makes more sense when collecting data and when reporting the results of a study. O A. Press ENTER 15 times and record the numbers. If you and your friends carry backpacks with books in them to school, the numbers of books in the backpacks are discrete data and the weights of the backpacks are continuous data. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. The data are the number of machines in a gym. Show More. The continuous data can be broken down into. Press ENTER and record that number. Nominal and ordinal data can act as both discrete and continuous. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. This is completely natural. Divide your college faculty by department. The station wants to know if its audience would prefer more music or more talk shows. Ra When you analyze data, it is important to be aware of sampling errors and nonsampling errors. What type of data is this? 1: 23-54 (2012), ssh.dukejournals.org/content/36/1/23.abstract (accessed May 1, 2013). Now business runs on data, and most companies use data for their insights to create and launch campaigns, design strategies, launch products and services or try out different things.

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