state whether the data is discrete or continuous

So is the case of statistics too. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. There are distinct or different values in discrete data. The data are continuous because the data can take on any value in an interval. Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. You must choose 400 names for the sample. Think about what contributes to making Doreens and Jungs samples different. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. Notice that the frequencies do not add up to the total number of students. The first It also could not be used if the percentages added to less than 100%. Qualitative data are generally described by words or letters. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. Discrete data is data that can only take certain values, while data that can take any value is continuous data. Divide your college faculty by department. Quantitative data may be either discrete or continuous. It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. Surely, you can get all the study material on Vedantu mobile app- learn live online. To four decimal places, these numbers are equivalent (0.0999). The data she collects are summarized in the pie chart Figure $\PageIndex{1}$. The data are continuous because the data can only take on specific values . 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. The actual process of sampling causes sampling errors. ), Ranking of people in a competition (First, Second, Third, etc. We might make different choices of what we think is the best graph depending on the data and the context. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. The type of data that has clear spaces between values is discrete data. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of The data are discrete because the data can only take on specific values. Continuous data is the data that can be of any value. For the purpose of analysis, data are presented as the facts and figures collected together. If quantitative, state whether it's discrete or continuous. The total number of students in a class is an example of discrete data. Also, the sample represents only those who showed up to the event earlier than the majority. 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. O C. Press ENTER 2 more times (even the repeats). The data are discrete because the data can take on any value in an interval. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. It is further classified as discrete data and continuous data. QUESTIONState whether the data described below are discrete or continuous, and explain why. 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. You sample five students. Examples of discrete variables are the number of students and age. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. 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 continuous because the data can take on any value in an interval. The sample probably consists more of people who prefer music because it is a concert event. To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. A discrete variable, on the other hand, can only take on specific values. Grouped distribution of continuous data tabulation frequencies is performed against a value group. A pollster interviews all human resource personnel in five different high tech companies. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. In the graph, the percentages add to more than 100% because students can be in more than one category. All you can do right now is to just take a deep breath and believe in yourself! The discrete data contain the values that fall under integers or whole numbers. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. It is not possible to measure qualitative data in terms of. A completely random method is used to select 75 students. 1. What are the career options in the field of Statistics? State whether the data described below are discrete or continuous, and explain why. Record the number. The number of classes a student missed. A pie chart cannot be used. Another example is learning how to use calculators. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . Convenience sampling is a nonrandom method of choosing a sample that often produces biased data. This pie chart shows the students in each year, which is qualitative data. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. So, you will get the result too! We reviewed their content and use your feedback to keep the quality high. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. 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. O A. This data helps a company analyze its business, design its strategies, and help build a successful data-driven decision-making process. Data that takes distinct values and cannot be in decimals is called discrete data. 5. 2003-2023 Chegg Inc. All rights reserved. What is the main difference between discrete and continuous data? 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? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. You can email the site owner to let them know you were blocked. Sampling without replacement instead of sampling with replacement becomes a mathematical issue only when the population is small. Q: Classify the Following as Discrete and Continuous Data. There are several different methods of random sampling. B. Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. The amount a person grew (in height) in a year. Compare the fractions 999/10,000 and 999/9,999. 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. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. 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. Press MATH. Suppose ABC College has 10,000 part-time students (the population). Then survey every U.S. congressman in the cluster. An administrative assistant is asked to stand in front of the library one Wednesday and to ask the first 100 undergraduate students he encounters what they paid for tuition the Fall semester. c . according to measurement accuracy, it can be significantly subdivided into smaller sections. 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. Determine whether the given value is from a discrete or continuous data set. How to differentiate the obtained results as discrete and continuous data? Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. These data are represented mainly by a bar graph, number line, or frequency table. State whether the data described below are discrete or continuous, and explain why. B. You should know how to manage your time and utilize it in the best way possible. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. It can be the version of an android phone, the height of a person, the length of an object, etc. amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). Both samples are biased. Show Less. The two numbers are for two of the columns. You should ask the doubt there and then clear it, analyze it and work on it. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. You count discrete data. But still, their samples would be, in all likelihood, different from each other. When properly selected, larger samples model the population more closely than smaller samples. A. Step One: Master the Foundational Knowledge. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. It may take any numeric value, within a potential value range of finite or infinite. This data is so important for us that it becomes important to handle and store it properly, without any error. The data are the weights of backpacks with books in them. Press ENTER. The data are discrete because the data can take on any value in an interval. Work collaboratively to determine the correct data type (quantitative or qualitative). 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. Small letters like $x$ or $y$ generally are used to represent data values. Non-response or refusal of subject to participate: The collected responses may no longer be representative of the population. The data are the colors of backpacks. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. Show More. The data are the number of machines in a gym. Suppose we take two different samples. A continuous data set because there are infinitely mamy possible values and those values cannot be counted. Starting with that student, every 50th student is chosen until 75 students are included in the sample. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. 3. y's house is at D, 750 feet from the intersection. 2013 - 2023 Great Lakes E-Learning Services Pvt. { "1.2.01:_Levels_of_Measurement" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.00:_Introduction" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.01:_Descriptive_and_Inferential_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.02:_Variables_and_Types_of_Data" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.03:_Data_Collection_and_Sampling_Techniques" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.05:_Computers_and_Calculators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.5:_Experimental_Design_and_Ethics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.E:_Sampling_and_Data_(Optional_Exercises)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_The_Nature_of_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Frequency_Distributions_and_Graphs" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Data_Description" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Probability_and_Counting" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Discrete_Probability_Distributions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Continuous_Random_Variables_and_the_Normal_Distribution" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Confidence_Intervals_and_Sample_Size" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Hypothesis_Testing_with_One_Sample" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "09:_Inferences_with_Two_Samples" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "10:_Correlation_and_Regression" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "11:_Chi-Square_and_Analysis_of_Variance_(ANOVA)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12:_Nonparametric_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "13:_Appendices" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, [ "article:topic", "Pareto chart", "Sampling with Replacement", "Sampling without Replacement", "qualitative data", "quantitative data", "discrete data", "continuous data", "Cluster Sampling", "Sampling Error", "Sampling Bias", "authorname:openstax", "transcluded:yes", "showtoc:no", "license:ccby", "source[1]-stats-705", "program:openstax", "licenseversion:40", "source@https://openstax.org/details/books/introductory-statistics" ], https://stats.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fstats.libretexts.org%2FCourses%2FLas_Positas_College%2FMath_40%253A_Statistics_and_Probability%2F01%253A_The_Nature_of_Statistics%2F1.02%253A_Variables_and_Types_of_Data, $ \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}$ $ \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} $$\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$ $\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$$\newcommand{\AA}{\unicode[.8,0]{x212B}}$, of Students at De Anza College Fall Term 2007 (Census Day), 1.1: Descriptive and Inferential Statistics, Percentages That Add to More (or Less) Than 100%, http://www.well-beingindex.com/default.asp, http://www.well-beingindex.com/methodology.asp, http://www.gallup.com/poll/146822/gaquestions.aspx, http://www.math.uah.edu/stat/data/LiteraryDigest.html, http://www.gallup.com/poll/110548/ga9362004.aspx#4, http://de.lbcc.edu/reports/2010-11/fhts.html#focus, http://poq.oxfordjournals.org/content/70/5/759.full, source@https://openstax.org/details/books/introductory-statistics, status page at https://status.libretexts.org, Students who intend to transfer to a 4-year educational institution.