state whether the data is discrete or continuous

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Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. 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. Surveys mailed to households and then returned may be very biased (they may favor a certain group). Ltd. All rights reserved. We are interested in the average amount of money a part-time student spends on books in the fall term. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. The weights (in pounds) of their backpacks are 6.2, 7, 6.8, 9.1, 4.3. Sample size issues: Samples that are too small may be unreliable. The triangles show the position of the gate in relation to its closed position. B. A. The points are associated with an unbroken line. 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. 1. Most statisticians use various methods of random sampling in an attempt to achieve this goal. Divide into groups of two, three, or four. Data may come from a population or from a sample. the number of classes you take per school year. According to a report, today, at least 2.5 quintillion bytes of data are produced per day. To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. 134.209.154.177 As you become accustomed to sampling, the variability will begin to seem natural. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. O A. Statistics is a quite tough subject but for those who know how to use their mind, its the best one for them as it involves more practical knowledge and conceptual learning. They spend: $50; $40; $36; $15; $50; $100; $40; $53; $22; $22. Frequently Asked Questions, Pew Research Center for the People & the Press, www.people-press.org/methodolwer-your-polls (accessed May 1, 2013). Each random number may only contribute one class member. Press ENTER. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. Record the three quiz scores in column one that correspond to these three numbers. These types of data are sorted by category, not by number. Instead of that, just revise what youve already done. A.The data are continuous because the data can only take on the data can only take on specificvalues. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? You count discrete data. (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.) Surveys are typically done without replacement. Show Less. Try to identify additional data sets in this example. These data dont have any meaningful order; their values are distributed into distinct categories. The numbers of books (three, four, two, and one) are the quantitative discrete data. That is, a member of the population may be chosen only once. For example, it does not make sense to find an average hair color or blood type. the data can only take on specific values . The measure of ZQ is 10 less than the measure of LP. A histogram is used to graphically represent continuous data. Both samples are biased. c. Record the number. The land areas of different countries Choose the correct answer below. State whether the data described below are discrete or continuous, and explain why. the data can only take on specific values . Data may be classified as qualitative, quantitative continuous, or quantitative discrete. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. b. Samples that contain different individuals result in different data. 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 measure of Ris 5 greater than the measure of ZO. The number of books in a rack is a finite countable number. The data are because.continuous the data can only take on specific values C. This pie chart shows the students in each year, which is qualitative data. { "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 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"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. What type of data does this graph show? Discrete data: When numerical data has values that are countable and specific to a particular category, it is called discrete data. Results are the outcome of our efforts and if you believe that you have put your best, then you will surely be able to score good marks. The data are the colors of houses. B. The data . O C. 26. State whether the data described below are discrete or? Nominal data.Ordinal data.Discrete data.Continuous data. Divide your college faculty by department. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. For example, the sample may not be large enough. You sample five houses. Probably not. Working on data is crucial because we need to figure out what kind of data it is and how to use it to get valuable output out of it. Each travels 2 miles, then changes direction and travels 1.2 miles. In today's changing times, pursuing a career in this subject is known to provide some of the most sought professional options. What type of data is this? A random number generator is used to pick two of those years. So is the case of statistics too. Thats why it is also known as Categorical Data. It can be the version of an android phone, the height of a person, the length of an object, etc. When a car is randomly selected, it is found to have 3 wipers. Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). This data is so important for us that it becomes important to handle and store it properly, without any error. But still, their samples would be, in all likelihood, different from each other. You will learn why when you study confidence intervals. a. 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. 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. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. A pollster interviews all human resource personnel in five different high tech companies. You can specify conditions of storing and accessing cookies in your browser. Record the number. Asking all 10,000 students is an almost impossible task. The data are discrete because the data can only take on specific . A sample that is not representative of the population is biased. You must choose 400 names for the sample. State whether the data described below are discrete or continuous, and explain why. Suppose we take two different samples. The easiest method to describe is called a simple random sample. To choose a systematic sample, randomly select a starting point and take every nth piece of data from a listing of the population. The data are discrete because the data can only take on specific values. Is the study impartial? Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student 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. The ordinal data only shows the sequences and cannot use for statistical analysis. The data are continuous because the data can take Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. You measure continuous data. Number each department, and then choose four different numbers using simple random sampling. For column 1, Press 5:randInt( and enter 1,10). Confounding: When the effects of multiple factors on a response cannot be separated. The station wants to know if its audience would prefer more music or more talk shows. Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. c. The data are continuous because the data can take on any value in an interval. From that number, count ten quiz scores and record that quiz score. The durations of a chemical reaction comma repeated . A random number generator is used to select a student from the alphabetical listing of all undergraduate students in the Fall semester. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. It also could not be used if the percentages added to less than 100%. In some situations, having small samples is unavoidable and can still be used to draw conclusions. discrete because the data can only. Over time, some continuous data can change. 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. 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. Indicate whether quantitative data are continuous or discrete. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Press ENTER. Can I get some help? That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. O A. 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. 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. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. Roll one fair die (six-sided) 20 times. Show how you know. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. Each student in the following samples is asked how much tuition he or she paid for the Fall semester. Create a cluster sample by considering each state as a stratum (group). Press ENTER 2 more times (even the repeats). These data are represented mainly by a bar graph, number line, or frequency table. The discrete data are countable and have finite values; their subdivision is not possible. For example, you can not have a natural order for apple, orange, and banana. 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). Two graphs that are used to display qualitative data are pie charts and bar graphs. The colors red, black, black, green, and gray are qualitative data. Why or why not? 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.

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state whether the data is discrete or continuous