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. Over time, some continuous data can change. O A. O A. Number each department, and then choose four different numbers using simple random sampling. These data cant be broken into decimal or fraction values. feet, 180 sq. Examples are lengths, temperature, etc. 2003-2023 Chegg Inc. All rights reserved. categorical, quantitative discrete or quantitative continuous. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. Which is the safest route for the ship? A. You sample the same five students. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. The data will be quantitative, say 2+3 (=5) apples. True random sampling is done with replacement. A histogram is used to graphically represent continuous data. Books for these classes tend to be expensive. Those 100 students are the sample. There are distinct or different values in discrete data. Explain your reasoning. But graphs can be even more helpful in understanding the data. The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). For this example, suppose Lisa chooses to generate random numbers from a calculator. The prison populations of different countries ha Choose the correct answer below. You should ask the doubt there and then clear it, analyze it and work on it. In other words, each sample of the same size has an equal chance of being selected. What type of data is this? 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. The continuous data can be broken down into fractions and decimals, i.e. Examples of discrete variables are the number of students and age. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Doreen's sample will be different from Jung's sample. b. Each method has pros and cons. Collecting data carelessly can have devastating results. Quantitative data may be either discrete or continuous. All data that are the result of counting are called quantitative discrete data. Required fields are marked *. Problems with samples: A sample must be representative of the population. Ungrouped frequency distribution of discrete data is performed against a single value. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. 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. Which pair is farther from camp? For accuracy, carry the decimal answers to four decimal places. Have some sleep, its important. State whether the data described below are discrete or continuous, and explain why. It helps you in saving time later as you already have some knowledge about algebra. We might make different choices of what we think is the best graph depending on the data and the context. OOO O A. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. 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. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p Data from www.bookofodds.com/Relationsh-the-President. Press ENTER and record that number. Measurements of the amount of beverage in a 16-ounce can may vary because different people make the measurements or because the exact amount, 16 ounces of liquid, was not put into the cans. B. 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. B. Sometimes percentages add up to be more than 100% (or less than 100%). If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. Record the number. Gathering information about an entire population often costs too much or is virtually impossible. Continuous data. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. Causality: A relationship between two variables does not mean that one causes the other to occur. Scott Keeter et al., Gauging the Impact of Growing Nonresponse on Estimates from a National RDD Telephone Survey, Public Opinion Quarterly 70 no. A random number generator is used to select a student from the alphabetical listing of all undergraduate students in the Fall semester. Each student in the following samples is asked how much tuition he or she paid for the Fall semester. The color of hair can be considered nominal data, as one color cant be compared with another color. Our choice also depends on what we are using the data for. Try this experiment twice. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Your email address will not be published. A.The data are continuous because the data can only take on the data can only take on specificvalues. A bar graph is appropriate to compare the relative size of the categories. The time(in minutes) it takes The time(in minutes) it takes A: It is given that the time (in minutes) it takes different students to drive to school from home. a. Surely, you can get all the study material on Vedantu mobile app- learn live online. 134.209.154.177 It also could not be used if the percentages added to less than 100%. The tables display counts (frequencies) and percentages or proportions (relative frequencies). 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. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. The departments are the clusters. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. You sample five houses. the distance it is from your home to the nearest grocery store. A local radio station has a fan base of 20,000 listeners. The data are discrete because the data can only take on specific . 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. A. state whether the data is continous or discrete The durations of 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? What can you conclude about the angles opposite these sides? Therefore this is discrete data. 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. continuous, and explain why. the data can only take on specific values . Step 2: Discrete and continuous data. C. The data are Below are tables comparing the number of part-time and full-time students at De Anza College and Foothill College enrolled for the spring 2010 quarter. There are a number of options if you go for the statistics degree. In one study, eight 16 ounce cans were measured and produced the following amount (in ounces) of beverage: 15.8; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5. It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. Ordinal data is qualitative data for which their values have some kind of relative position. The gender of a person, i.e., male, female, or others, is qualitative data. Variation is present in any set of data. The data are discrete because the data can take on any value in an interval. B. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? Why or why not? Quick Check Introduction to Data Science. Just as there is variation in data, there is variation in samples. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. State whether the data described below are discrete or continuous, and explain why. Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. For example, it does not make sense to find an average hair color or blood type. The measure of ZQ is 10 less than the measure of LP. The number of classes a student missed. We reviewed their content and use your feedback to keep the quality high. To four decimal places, these numbers are not equivalent. The numbers of hotels in cities Choose the correct answer below. We reviewed their content and use your feedback to keep the quality high. Statistical data about spreading of the epidemic are known in discrete periods of time, for example twenty-four hours. Most samples are taken from large populations and the sample tends to be small in comparison to the population. c. The data are continuous because the data can take on any value in an interval. LBCC Distance Learning (DL) program data in 2010-2011. lastbaldeagle. O A. The data are discrete because the data can take on any value in an interval. For example, suppose you have to do a phone survey. Work collaboratively to determine the correct data type (quantitative or qualitative). Data that can only take on certain values are discrete data. What is the main difference between discrete and continuous data? You must choose 400 names for the sample. And this is the reason why most students find it to be an interesting subject. Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student population? The data are the colors of backpacks. The amount of money they spend on books is probably much less than the average parttime student. A random number generator is used to pick two of those years. Quantitative data are the result of counting or measuring attributes of a population. The number of animals in a zoo is continuous data because the number of animals varies yearly depending on the reproduction of new animals or the arrival of new animals. Surveys mailed to households and then returned may be very biased (they may favor a certain group). Question: State whether the data described below are discrete or continuous, and explain why. we conducted an additional simulated control chart analysis to determine whether detection of this normal . The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. , i.e. data are discrete because the data can take on any value in an The actual process of sampling causes sampling errors. The data are discrete because the data can only take on specific values. the chance of picking the first person for any particular sample is 1000 out of 10,000 (0.1000); the chance of picking a different second person is 999 out of 9,999 (0.0999); you do not replace the first person before picking the next person. This is true even when the samples are well-chosen and representative of the population. Continuous information is information that falls into a continuous series. First, we use convenience sampling and survey ten students from a first term organic chemistry class. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. The volume of cola in a can is 11.8 oz. a chemical reaction comma repeated several times Choose the correct The graph in Figure \(\PageIndex{5}\) is a Pareto chart. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Blood type might be AB+, O-, or B+. Convenience sampling is a nonrandom method of choosing a sample that often produces biased data. 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. Step 2: Discrete and continuous data. Samples that contain different individuals result in different data. Random sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling. State whether the data described below are discrete or? The data are the number of machines in a gym. To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. Nominal Data is used to label variables without any order or quantitative value. You count discrete data. I want to study the topic of Statistics for my college-level exams? All students in those two years are in the sample. Discrete Data Examples: The number of students in a class, the number of chocolates in a bag, the number of strings on the guitar, the number of fishes in the aquarium, etc. 8. The amount a person grew (in height) in a year. They may be related (correlated) because of their relationship through a different variable. The registrar at State University keeps records of the number of credit hours students complete each semester. The data are discrete because the data can take on any value in an interval. The data are because.continuous the data can take on any value in an interval B. 1. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. The data are the colors of houses. The numbers of countries in the world in different years Choose the correct answer below. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. What are the career options in the field of Statistics? In this article, we have discussed the data types and their differences. Probably not. We need to evaluate the statistical studies we read about critically and analyze them before accepting the results of the studies. Read the study carefully to evaluate the work. B. Even if Doreen and Jung used the same sampling method, in all likelihood their samples would be different. The data are continuous because the data can only take on specific values. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . Can I get some help? How to Calculate the Percentage of Marks? feet, and 210 sq. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. A continuous data set because there are infinitely many possible values and those values cannot be counted. Try to identify additional data sets in this example. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. The bar graph is used to graphically represent discrete data. But still, their samples would be, in all likelihood, different from each other. The number of books in a rack is a finite countable number. O C. To determine the average cost of a two-day stay in a hospital in Massachusetts, survey 100 hospitals across the state using simple random sampling. air. Position 1 is less than the distance from G to H in Position 2. These data can be represented on a wide variety of graphs and charts, such as bar graphs, histograms, scatter plots, boxplots, pie charts, line graphs, etc. Frequently Asked Questions, Pew Research Center for the People & the Press, www.people-press.org/methodolwer-your-polls (accessed May 1, 2013). The data are discrete because the data can take on any value in an interval. Nominal Data is used to label variables without any order or quantitative value. This website is using a security service to protect itself from online attacks. It is further classified as discrete data and continuous data. 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. These data are represented mainly by a bar graph, number line, or frequency table. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. If you feel tired at the moment, even that too is fine. D. The B. Here are a few steps to prepare well for your exam which has statistics as a part of the course. The numbers of hotels in cities Choose the correct answer below. If Doreen and Jung took larger samples (i.e. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. You can email the site owner to let them know you were blocked. . Press ENTER. A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. A random sample is a representative group from the population chosen by using a method that gives each individual in the population an equal chance of being included in the sample. Biased samples that are not representative of the population give results that are inaccurate and not valid. . If she needed to, Lisa could have generated more random numbers. The data are continuous because the data can only take on specific values. For example, if you randomly sample four departments from your college population, the four departments make up the cluster sample. Thats why it is also known as Categorical Data. A. Different types of data are used in research, analysis, statistical analysis, data visualization, and data science. 1. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. discrete because the data can only. Discrete data. The areas of the lawns are 144 sq. Question: CS State whether the data described below are discrete or continuous, and explain why. These kinds of data can be considered in-between qualitative and quantitative data. A large ship is sailing between three small islands. (2012), D is the discrete character data, z is a particular character mapping, and are the parameters of the hOUwie model. Ivy's house is at E, 750 feet from the intersection. b. Do not automatically assume that the study is good, but do not automatically assume the study is bad either. PGP in Data Science and Business Analytics, PGP in Data Science and Engineering (Data Science Specialization), M.Tech in Data Science and Machine Learning, PGP Artificial Intelligence for leaders, PGP in Artificial Intelligence and Machine Learning, MIT- Data Science and Machine Learning Program, Master of Business Administration- Shiva Nadar University, Executive Master of Business Administration PES University, Advanced Certification in Cloud Computing, Advanced Certificate Program in Full Stack Software Development, PGP in in Software Engineering for Data Science, Advanced Certification in Software Engineering, PG Diploma in Artificial Intelligence IIIT-Delhi, PGP in Software Development and Engineering, PGP in in Product Management and Analytics, NUS Business School : Digital Transformation, Design Thinking : From Insights to Viability, Master of Business Administration Degree Program, 4 Types Of Data Nominal, Ordinal, Discrete and Continuous. Create a simple random sample of 15 quiz scores. a chemical reaction comma repeated several times Choose the correct These 15 quiz scores are the systematic sample. feet, 160 sq. categorical, quantitative discrete or quantitative continuous. The examples you have seen in this book so far have been small. C. The data are This is important to know when we think about what the data are telling us. The total number of students in a class is an example of discrete data. Besides herself, Lisas group will consist of Marcierz, Cuningham, and Cuarismo. All members of the four departments with those numbers are the cluster sample. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. Cloudflare Ray ID: 7a2992ec2e151da5 The continuous data can be broken down into. pair starts due east and then turns 50 toward north. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. Press 5:randInt( and enter 1, 60). A continuous data set because there are infinitely mamy possible values and those values cannot be counted. It may take any numeric value, within a potential value range of finite or infinite. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. b. Q: State whether the data below are discrete or continuous, explain why. These 18 quiz scores are a stratified sample. State whether the data described below are discrete or continuous and explain why The amounts of time that different brands' batteries last in a CD player. The data are continuous because the data can only take on specific values. Ducks in a pond are discrete data because the number of ducks is a finite number. Surveys are typically done without replacement. The distance from G to H in