The data are discrete because the data can only take on specific values. When a sampling bias happens, there can be incorrect conclusions drawn about the population that is being studied. 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. What is the main difference between discrete and continuous data? You should know how to manage your time and utilize it in the best way possible. Step 2: Discrete and continuous data. Your phone book contains 20,000 residence listings. The triangles show the position of the gate in relation to its closed position. The points are associated with an unbroken line. Blood type might be AB+, O-, or B+. To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. That is, a member of the population may be chosen only once. All students in those two years are in the sample. The time(in minutes) it takes The time(in minutes) it takes A: It is given that the time (in minutes) it takes different students to drive to school from home. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? Question: State whether the data described below are discrete or continuous, and explain why. B. For any particular sample of 1,000, if you are sampling with replacement. interval. These values do not have to be complete numbers, but they are values that are fixed. 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. Hair color, blood type, ethnic group, the car a person drives, and the street a person lives on are examples of qualitative data. If all the money in the 555, find the number of 10 coins in it 12. The job of the statistician is to see through the variability and draw appropriate conclusions. Ungrouped frequency distribution of discrete data is performed against a single value. Therefore this is discrete data. Just as there is variation in data, there is variation in samples. Making a schedule/timetable or studying together with your peers may help you in focusing and keep you active. So, you will get the result too! Whether you are a data scientist, marketer, businessman, data analyst, researcher, or you are in any other profession, you need to play or experiment with raw or structured data. Books for these classes tend to be expensive. OOO O A. O C. So is the case of statistics too. 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. State whether the data described below are discrete or continuous, and explain why. Solution: - Data : The capacities of different hotels. 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. Sampling without replacement instead of sampling with replacement becomes a mathematical issue only when the population is small. Your email address will not be published. A type of sampling that is non-random is convenience sampling. They may be related (correlated) because of their relationship through a different variable. The departments are the clusters. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. Your instructor will give each group one six-sided die. Press ENTER. In statistics, a sampling bias is created when a sample is collected from a population and some members of the population are not as likely to be chosen as others (remember, each member of the population should have an equally likely chance of being chosen). categorical, quantitative discrete or quantitative continuous. Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. . No. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of For example, the sample may not be large enough. Click to reveal State whether each situation is categorical or quantitative. The numbers of programs installed on various computers ANSWERA.) Step One: Master the Foundational Knowledge. Points in a graph of the discrete function remain unconnected. Q: Classify the Following as Discrete and Continuous Data. B. Surely, you can get all the study material on Vedantu mobile app- learn live online. Biased samples that are not representative of the population give results that are inaccurate and not valid. This data is so important for us that it becomes important to handle and store it properly, without any error. It is further classified as discrete data and continuous data. 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. On Tax Day, House to Call for Firing Federal Workers Who Owe Back Taxes. To find out the most popular cereal among young people under the age of ten, stand outside a large supermarket for three hours and speak to every twentieth child under age ten who enters the supermarket. Ducks in a pond are discrete data because the number of ducks is a finite number. A completely random method is used to select 75 students. we conducted an additional simulated control chart analysis to determine whether detection of this normal . You may wrap around (go back to the beginning). The sample probably consists more of people who prefer music because it is a concert event. You can specify conditions of storing and accessing cookies in your browser. You should ask the doubt there and then clear it, analyze it and work on it. 5. Number of bacteria in a petri dish is 12,120. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. The data are discrete because the data can only take on specific values. Save my name, email, and website in this browser for the next time I comment. QUESTIONState whether the data described below are discrete or continuous, and explain why. On your calculator, press Math and arrow over to PRB. Probably not. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. B.The data are discrete because the data can only take on specific values. You must choose 400 names for the sample. a. The quiz scores (20 of them) in these 2 columns are the cluster sample. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. 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). Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Qualitative data tells about the perception of people. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. Therefore, adjustment of the differential equations system under such data . A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. 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. 4. feet, and 210 sq. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. Still, continuous data stores the fractional numbers to record different types of data such as temperature, height, width, time, speed, etc. D. The The data are the colors of backpacks. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. A variable is said to be continuous if it can take on any value in an interval. Record the three quiz scores in column one that correspond to these three numbers. All data that are the result of counting are called quantitative discrete data. Discrete Data Examples: The number of students in a class, the number of chocolates in a bag, the number of strings on the guitar, the number of fishes in the aquarium, etc. 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. Also, in both cases, not all students have a chance to be in either sample. State whether the data described below are discrete or continuous, and explain why: . 26. a. The safest route is to avoid the closest pair of islands. A pollster interviews all human resource personnel in five different high tech companies. 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). . You sample the same five students. These data are represented mainly by a bar graph, number line, or frequency table. A histogram is used to graphically represent continuous data. 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. A random number generator is used to pick two of those years. 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. Hint: Data that are discrete often start with the words "the number of." the number of pairs of shoes you own. 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. Therefore this is discrete data. Finite values have discrete data. The data are continuous because the data can take C. The data are Data is the new oil. Today data is everywhere in every field. The exact distances (in centimeters) between the chairs in a college classroom. a chemical reaction comma repeated several times Choose the correct Causality: A relationship between two variables does not mean that one causes the other to occur. Nominal Data is used to label variables without any order or quantitative value. 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). Doreen and Jung each take samples of 500 students. Quantitative data are always numbers. categorical, quantitative discrete or quantitative continuous. O A. Show how you know. Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. The discrete data are countable and have finite values; their subdivision is not possible. ), Marital status (Single, Widowed, Married), When companies ask for feedback, experience, or satisfaction on a scale of 1 to 10, Letter grades in the exam (A, B, C, D, etc. B. State whether the data described below are discrete or continuous, and explain why. the data can only take on specific values . State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . To find the average GPA of all students in a university, use all honor students at the university as the sample. 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. . Surveys are typically done without replacement. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. Data is classified into 4 types. O A. 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. Nominal and ordinal data can act as both discrete and continuous. on any value in an interval . On the other hand, if we count large quantities of any discrete entity. 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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. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. Each method has pros and cons. This is true even when the samples are well-chosen and representative of the population. You sample five students.
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