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What type of data is this? These 18 quiz scores are a stratified sample. What type of data is this? 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. The data are continuous because the data can take on any value in an interval . Many other courses are available online to master your foundational knowledge which may assist you later. 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. The data are discrete because the data can take on any value in an interval. All members of the four departments with those numbers are the cluster sample. 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. Which experiment had the correct results? B. The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. O A. Question: State whether the data described below are discrete or continuous, and explain why. Finite values have discrete data. Tables are a good way of organizing and displaying data. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. The number of books in a rack is a finite countable number. Probably not. Divide 84 a money box contains 1 coins, 2 coins, 5 coins and 10 coins 10 coins is four times the number of 1 coins. For the purpose of analysis, data are presented as the facts and figures collected together. 13. The data are discrete because the data can only take on specific values. Be aware that many large samples are biased. The tables display counts (frequencies) and percentages or proportions (relative frequencies). Most of these students are, more than likely, paying more than the average part-time student for their books. In reality, a sample will never be exactly representative of the population so there will always be some sampling error. O C. Convenience sampling is a nonrandom method of choosing a sample that often produces biased data. If there is a repeat press ENTER again. Each student is chosen using simple random sampling. The bar graph is used to graphically represent discrete data. Work collaboratively to determine the correct data type (quantitative or qualitative). But still, their samples would be, in all likelihood, different from each other. No. Work collaboratively to determine the correct data type (quantitative or qualitative). The two numbers are for two of the columns. 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. That is, a member of the population may be chosen only once. A pie chart cannot be used. Our choice also depends on what we are using the data for. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. You go to the supermarket and purchase three cans of soup (19 ounces) tomato bisque, 14.1 ounces lentil, and 19 ounces Italian wedding), two packages of nuts (walnuts and peanuts), four different kinds of vegetable (broccoli, cauliflower, spinach, and carrots), and two desserts (16 ounces Cherry Garcia ice cream and two pounds (32 ounces chocolate chip cookies). Data that can take a decimal value and can vary across a range is called . You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. It may take any numeric value, within a potential value range of finite or infinite. 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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. O A. Nominal and ordinal data can act as both discrete and continuous. O A. Press ENTER 2 more times (even the repeats). 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 \(\PageIndex{6}\). It helps you in saving time later as you already have some knowledge about algebra. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. 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. 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 color of hair can be considered nominal data, as one color cant be compared with another color. The exact lengths (in kilometers) of the ocean coastlines of different countries. State whether each situation is categorical or quantitative. Statistics involves organizing, analyzing, interpreting, and representing data. The amount a person grew (in height) in a year. 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. The numbers of hotels in cities Choose the correct answer below. Grouped distribution of continuous data tabulation frequencies is performed against a value group. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. 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. If Doreen and Jung took larger samples (i.e. You must choose 400 names for the sample. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. c . 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. One gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines. the data can only take on specific values . If they are not, discuss the reasons. Ungrouped frequency distribution of discrete data is performed against a single value. A sample should have the same characteristics as the population it is representing. It only contains finite values, the subdivision of which is not possible. 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. Sampling data should be done very carefully. Ivy's house is at E, 750 feet from the intersection. Also read: 22 Top Data Science Books Learn Data Science Like an Expert. A local radio station has a fan base of 20,000 listeners. Press ENTER. Question: CS State whether the data described below are discrete or continuous, and explain why. As a class, determine whether or not the following samples are representative. Thats why it is also known as Categorical Data. Record the number of ones, twos, threes, fours, fives, and sixes you get in the following table (frequency is the number of times a particular face of the die occurs): Did the two experiments have the same results? c. B. continuous, and explain why. C. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. State whether the data described below are discrete or continuous, and explain why. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. They may be related (correlated) because of their relationship through a different variable. For example, it does not make sense to find an average hair color or blood type. Continuous information is information that falls into a continuous series. Data is the new oil. Today data is everywhere in every field. b. Surveys mailed to households and then returned may be very biased (they may favor a certain group). It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. Discrete is data that can take only certain values. Larger samples are better, if possible. The safest route is to avoid the closest pair of islands. Number of bacteria in a petri dish is 12,120. The data are continuous because the data can only take on specific values. Experts are tested by Chegg as specialists in their subject area. It also could not be used if the percentages added to less than 100%. The exact lengths (in kilometers) of the ocean coastlines of different countries is a continuous variable because it can take on any value in an interval. When you have a numeric variable, you need to determine whether it is discrete or continuous. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. The actual process of sampling causes sampling errors. C. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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 a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. Each method has pros and cons. We provide you year-long structured coaching classes for CBSE and ICSE Board & JEE and NEET entrance exam preparation at affordable tuition fees, with an exclusive session for clearing doubts, ensuring that neither you nor the topics remain unattended. The weights (in pounds) of their backpacks are 6.2, 7, 6.8, 9.1, 4.3. Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. Compare the fractions 999/10,000 and 999/9,999. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Determine whether the data described below are qualitative or quantitative and explain why: . By using simple random sampling, select states to be part of the cluster. The list of fruit is nominal. However for practical reasons, in most populations, simple random sampling is done without replacement.

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