In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. A histogram is used to display quantitative data: the numbers of credit hours completed. 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. Can we have both discrete data and continuous data from the same experiment? They spend: $50; $40; $36; $15; $50; $100; $40; $53; $22; $22. Indicate whether quantitative data are continuous or discrete. It is further classified as discrete data and continuous data. Try to identify additional data sets in this example. The list of fruit is nominal. A sample of 100 undergraduate San Jose State students is taken by organizing the students names by classification (freshman, sophomore, junior, or senior), and then selecting 25 students from each. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of The color of hair can be considered nominal data, as one color cant be compared with another color. Press ENTER and record that number. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. It only contains finite values, the subdivision of which is not possible. It also could not be used if the percentages added to less than 100%. 5 (2006). The numbers of countries in the world in different years Choose the correct answer below. Qualitative data are generally described by words or letters. The data are continuous because the data can take on any value in an interval . A sample that is not representative of the population is biased. It is not possible to measure qualitative data in terms of. 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 \(\PageIndex{6}\). 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. For example, the number of subjects in a course, the number of families living in a block, the number of digits in a code, etc. You count discrete data. The numbers of books (three, four, two, and one) are the quantitative discrete data. Statistics involves organizing, analyzing, interpreting, and representing data. On your calculator, press Math and arrow over to PRB. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. Divide your college faculty by department. b. You may wrap around (go back to the beginning). 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. feet, and 210 sq. It may take any numeric value, within a potential value range of finite or infinite. 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. 134.209.154.177 Record the three quiz scores in column one that correspond to these three numbers. Ivy's house is at E, 750 feet from the intersection. Two students carry three books, one student carries four books, one student carries two books, and one student carries one book. Suppose we take two different samples. State whether the data described below are discrete or? In this article, we have discussed the data types and their differences. Create a stratified sample by column. Work collaboratively to determine the correct data type (quantitative or qualitative). Statistical data about spreading of the epidemic are known in discrete periods of time, for example twenty-four hours. The measure of Ris 5 greater than the measure of ZO. Most data can be put into the following categories: Qualitative data are the result of categorizing or describing attributes of a population. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. Starting with that student, every 50th student is chosen until 75 students are included in the sample. Evaluate it on its merits and the work done. Two graphs that are used to display qualitative data are pie charts and bar graphs. Amount of money, pulse rate, weight, number of people living in your town, and number of students who take statistics are examples of quantitative data. . Factors not related to the sampling process cause nonsampling errors. Your answer is correct. When you analyze data, it is important to be aware of sampling errors and nonsampling errors. The name nominal comes from the Latin name nomen, which means name. With the help of nominal data, we cant do any numerical tasks or cant give any order to sort the data. Blood type might be AB+, O-, or B+. Still, continuous data stores the fractional numbers to record different types of data such as temperature, height, width, time, speed, etc. the chance of picking the first person is 1,000 out of 10,000 (0.1000); the chance of picking a different second person for this sample is 999 out of 10,000 (0.0999); the chance of picking the same person again is 1 out of 10,000 (very low). Legal. The exact lengths (in kilometers) of the ocean coastlines of different countries. Your phone book contains 20,000 residence listings. feet. In polling, samples that are from 1,200 to 1,500 observations are considered large enough and good enough if the survey is random and is well done. Compare the fractions 9/25 and 9/24. Indicate whether quantitative data are continuous or discrete. 13. The data are discrete because the data can only take on specific values. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. Just know that you have prepared and worked hard for this. Asking all 10,000 students is an almost impossible task. The data are because.continuous the data can only take on specific values C. 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. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. However, generally, we use age as a discrete variable. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. The amount a person grew (in height) in a year. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? The data are discrete because the data can only take on specific values. The land areas of different countries Choose the correct answer below. 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. Collecting data carelessly can have devastating results. Each travels 2 miles, then changes direction and travels 1.2 miles. You must choose 400 names for the sample. Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. Examples of discrete variables are the number of students and age. the data can only take on specific values . 2. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. To four decimal places, these numbers are not equivalent. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. On the other hand, if we count large quantities of any discrete entity. If Doreen and Jung took larger samples (i.e. These kinds of data can be considered in-between qualitative and quantitative data. The data are discrete because the data can . The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. Also, the sample represents only those who showed up to the event earlier than the majority. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. Confounding: When the effects of multiple factors on a response cannot be separated. The circumferences (in inches) of people's heads Choose the correct answer below. Data that can only take on certain values are discrete data. We are interested in the average amount of money a part-time student spends on books in the fall term. By using simple random sampling, select states to be part of the cluster. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. 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. For example, the sample may not be large enough. C. The data are a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. From that number, count ten quiz scores and record that quiz score. For some students, it might feel difficult as it involves logical thinking and mathematics but its a great option for those who love solving and putting their minds all into logic. b. 2003-2023 Chegg Inc. All rights reserved. we conducted an additional simulated control chart analysis to determine whether detection of this normal . Record the quiz scores that correspond to these numbers. Points in a graph of the discrete function remain unconnected. So, you will get the result too! Data that can only take on certain values are discrete data. These kinds of data are also known as Numerical data. Discrete vs continuous data are two broad categories of numeric variables. State whether each situation is categorical or quantitative. Step One: Master the Foundational Knowledge. data are discrete because the data can take on any value in an Be aware that many large samples are biased. A. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. Tables are a good way of organizing and displaying data. State whether the data described below are discrete or continuous, and explain why. For example, it does not make sense to find an average hair color or blood type. To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. 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"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, 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