state whether the data is discrete or continuous

It is further classified as discrete data and continuous data. ), Ranking of people in a competition (First, Second, Third, etc. State whether the data described below are discrete or continuous, and explain why. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. You are going to use the random number generator to generate different types of samples from the data. Number each department, and then choose four different numbers using simple random sampling. The data are the colors of houses. Thats why it is also known as Categorical Data. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. feet, 190 sq. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. Ivy's house is at E, 750 feet from the intersection. All the members from these clusters are in the cluster sample. The action you just performed triggered the security solution. Look at Figures $\PageIndex{3}$ and $\PageIndex{4}$ and determine which graph (pie or bar) you think displays the comparisons better. 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. They both did. On your calculator, press Math and arrow over to PRB. answer below. Suppose ABC College has 10,000 part-time students (the population). In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. The gender of a person, i.e., male, female, or others, is qualitative data. The exact lengths (in kilometers) of the ocean coastlines of different countries. 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. The data are the weights of backpacks with books in them. For this example, suppose Lisa chooses to generate random numbers from a calculator. Show More. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. A pollster interviews all human resource personnel in five different high tech companies. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. These data are represented mainly by a bar graph, number line, or frequency table. Points in a graph of the discrete function remain unconnected. We may prefer not to think of 10,00,100 and 10,00,102 as crucially different values, but instead as nearby points on an approximate continuum. 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. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. { "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. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of 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. If quantitative, state whether it's discrete or continuous. The data are continuous because the data can only take on specific values. Convenience sampling is a nonrandom method of choosing a sample that often produces biased data. , i.e. O A. For these samples, each member of the population did not have an equally likely chance of being chosen. The second pair starts due west and then turns 40 toward south. If you feel tired at the moment, even that too is fine. Hair color, blood type, ethnic group, the car a person drives, and the street a person lives on are examples of qualitative data. A. B. Log on to our website and explore courses delivered by industry experts. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. A. These 15 quiz scores are the systematic sample. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. What is the main difference between discrete and continuous data? No. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. Read the study carefully to evaluate the work. 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? Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). Work more on basics as they form the basis for many other concepts. A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. Each student is chosen using simple random sampling. Step 2: Discrete and continuous data. Scott Keeter et al., Gauging the Impact of Growing Nonresponse on Estimates from a National RDD Telephone Survey, Public Opinion Quarterly 70 no. There are two types of data: Qualitative and Quantitative data, which are further classified into: 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. Press ENTER. The data are discrete because the data can take on any value in an interval. What type of data is this? we conducted an additional simulated control chart analysis to determine whether detection of this normal . A discrete variable, on the other hand, can only take on specific values. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. The data are discrete because the data can only take on specific values. 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. Divide your college faculty by department. 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. It is understandable that it must be making you feel nervous right now but your emotions are valid! When properly selected, larger samples model the population more closely than smaller samples. B. Learn data analytics or software development & get guaranteed* placement opportunities. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. The volume of cola in a can is 11.8 oz. The tables display counts (frequencies) and percentages or proportions (relative frequencies). It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. You can specify conditions of storing and accessing cookies in your browser. The second sample is taken using a list of senior citizens who take P.E. Each travels 2 miles, then changes direction and travels 1.2 miles. Create a systematic sample of 12 quiz scores. Data are individual items of information that come from a population or sample. The table displays Ethnicity of Students but is missing the "Other/Unknown" category. (We assume that these are the only disciplines in which part-time students at ABC College are enrolled and that an equal number of part-time students are enrolled in each of the disciplines.) Press MATH. Press 5:randInt( and enter 1,6). 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. Frequently Asked Questions, Pew Research Center for the People & the Press, www.people-press.org/methodolwer-your-polls (accessed May 1, 2013). 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. the data can only take on specific values . You sample five houses. A. 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. For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. feet, 180 sq. Otherwise, the variable is nominal. A more technological way is for Lisa to first list the last names of the members of her class together with a two-digit number, as in Table $\PageIndex{2}$: Lisa can use a table of random numbers (found in many statistics books and mathematical handbooks), a calculator, or a computer to generate random numbers. CS State whether the data described below are discrete or continuous, and explain why. The data are continuous because the data can only take on specific values. The data are the colors of backpacks. You count discrete data. 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. You can go for many of the career options if you pursue stats, you can get detailed information about all of the above-mentioned choices and also many more careers on the online website of Vedantu which tells the full forms and also the detailed explanation of each one of them. Data that can only take on certain values are discrete data. It may take any numeric value, within a potential value range of finite or infinite. The numbers of hotels in cities Choose the correct answer below. These values do not have to be complete numbers, but they are values that are fixed. Discrete data: When numerical data has values that are countable and specific to a particular category, it is called discrete data. These data consist of audio, images, symbols, or text. It only contains finite values, the subdivision of which is not possible. Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student population? Then choose every fiftieth name thereafter until you have a total of 400 names (you might have to go back to the beginning of your phone list). You should ask the doubt there and then clear it, analyze it and work on it. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. All students in those two years are in the sample. Nominal and ordinal data can act as both discrete and continuous. Over time, some continuous data can change. The amount of money they spend on books is probably much less than the average parttime student. Data is classified into 4 types. Problems with samples: A sample must be representative of the population. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p For any particular sample of 1,000, if you are sampling with replacement. The two numbers are for two of the columns. . Work collaboratively to determine the correct data type (quantitative or qualitative). where n is the number of tips in the phylogeny ( ) , P is the continuous trait value of each species, and Q is the expected value of each species given the continuous trait model calculated following Equation (11) of Beaulieu et al. QUESTIONState whether the data described below are discrete or continuous, and explain why. Divide into groups of two, three, or four. categorical, quantitative discrete or quantitative continuous. Arrow over to PRB. Besides the chemistry course, some of them are also taking first-term calculus. O C. Ltd. All rights reserved. Work collaboratively to determine the correct data type (quantitative or qualitative). Most samples are taken from large populations and the sample tends to be small in comparison to the population. The data are discrete because the data can only take on specific values. Discrete. Many other courses are available online to master your foundational knowledge which may assist you later. C. Also, in both cases, not all students have a chance to be in either sample. 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. a chemical reaction comma repeated several times Choose the correct According to a report, today, at least2.5 quintillion bytes of data are produced per day. Save my name, email, and website in this browser for the next time I comment. For the purpose of analysis, data are presented as the facts and figures collected together. To find the average GPA of all students in a university, use all honor students at the university as the sample. The height of a student from age 5-15 is continuous data because the height varies continuously from age 5-15 which is not a constant for 10 years. Ra 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. There are no strict rules concerning which graphs to use. Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. Confounding: When the effects of multiple factors on a response cannot be separated. A discrete data set because there are a finite number of possible values. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. Legal. Just as there is variation in data, there is variation in samples. c. The data are continuous because the data can take on any value in an interval. A soccer coach selects six players from a group of boys aged eight to ten, seven players from a group of boys aged 11 to 12, and three players from a group of boys aged 13 to 14 to form a recreational soccer team. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. A large ship is sailing between three small islands. Each random number may only contribute one class member. The distance from G to H in The actual process of sampling causes sampling errors. A random number generator is used to select a student from the alphabetical listing of all undergraduate students in the Fall semester. 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. Note: randInt(0, 30, 3) will generate 3 random numbers. Tips and Tricks to study 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.

state whether the data is discrete or continuous 2023