state whether the data is discrete or continuous

Data may be classified as qualitative, quantitative continuous, or quantitative discrete. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. Position 1 is less than the distance from G to H in Position 2. You will learn why when you study confidence intervals. C. What are the career options in the field of Statistics? Both samples are biased. 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. The two numbers are for two of the columns. The numbers of countries in the world in different years Choose the correct answer below. ), Ranking of people in a competition (First, Second, Third, etc. State whether the data described below are discrete or? Record the number. 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. The distance from G to H in Pick three quiz scores randomly from each column. on any value in an interval . They spend: $50; $40; $36; $15; $50; $100; $40; $53; $22; $22. If they are not, discuss the reasons. Surely, you can get all the study material on Vedantu mobile app- learn live online. Indicate whether quantitative data are continuous or discrete. The data are the number of books students carry in their backpacks. State whether each situation is categorical or quantitative. The color of hair can be considered nominal data, as one color cant be compared with another color. 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. Press ENTER. These 18 quiz scores are a stratified sample. Over time, some continuous data can change. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. Gathering information about an entire population often costs too much or is virtually impossible. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. For these samples, each member of the population did not have an equally likely chance of being chosen. On your calculator, press Math and arrow over to PRB. Thats why it is also known as Categorical Data. Discrete data. Ltd. All rights reserved. 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. No. For any particular sample of 1,000, if you are sampling with replacement. State whether the data described below are discrete or continuous, and explain why. B. Why or why not? The exact lengths (in kilometers) of the ocean coastlines of different countries. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. B. For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. Determine whether the given value is from a discrete or continuous data set. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. B. State whether the data described below are discrete or continuous, and explain why The speeds of the different people walking in a park Choose the correct answer below. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. Cloudflare Ray ID: 7a2992ec2e151da5 discrete because the data can only take on specific values . QUESTIONState whether the data described below are discrete or continuous, and explain why. Is the study impartial? 5. Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. Here are a few steps to prepare well for your exam which has statistics as a part of the course. O A. The numbers of programs installed on various computers ANSWERA.) The ordinal data only shows the sequences and cannot use for statistical analysis. The option "B" is correct i.e. The data are continuous because the data can only take on specific values. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. State whether the data described below are discrete or continuous, and explain why. This is true even when the samples are well-chosen and representative of the population. Click to reveal Record the number and the first quiz score. (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.) Step 2: Discrete and continuous data. 25. Get Into Data Science From Non IT Background, Data Science Solving Real Business Problems, Understanding Distributions in Statistics, Major Misconceptions About a Career in Business Analytics, Business Analytics and Business Intelligence Possible Career Paths for Analytics Professionals, Difference Between Business Intelligence and Business Analytics. The easiest method to describe is called a simple random sample. amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). The result of the rolling is a dice is 1, 2, 3, 4, 5, 6, 7, and 8. Sampling data should be done very carefully. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. The data are discrete because the data can only take on specific values. In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. A. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. Your IP: Variation is present in any set of data. Height is continuous but we sometimes don't really worry too much about minor variations and club heights into a set of discrete data instead. Additional Resources To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. Also, the sample represents only those who showed up to the event earlier than the majority. According to a report, today, at least 2.5 quintillion bytes of data are produced per day. What can you conclude about the angles opposite these sides? The data are discrete because the data can take on any value in an interval. Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. c. The data are continuous because the data can take on any value in an interval. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. b. As a rule, the larger the sample, the smaller the sampling error. To four decimal places, these numbers are not equivalent. The quiz scores (20 of them) in these 2 columns are the cluster sample. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. 134.209.154.177 the number of data values is increased), their sample results (the average amount of time a student sleeps) might be closer to the actual population average. Our choice also depends on what we are using the data for. feet, 180 sq. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. What type of data is this? These 15 quiz scores are the systematic sample. What type of data is this? 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. For instance, hair color might be black, dark brown, light brown, blonde, gray, or red. Each travels 2 miles, then changes direction and travels 1.2 miles. Use the column numbers: one through six. If there is a repeat press ENTER again. Just as there is variation in data, there is variation in samples. The tables display counts (frequencies) and percentages or proportions (relative frequencies). B. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. It may take any numeric value, within a potential value range of finite or infinite. It also could not be used if the percentages added to less than 100%. A. These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. 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). Roll one fair die (six-sided) 20 times. The circumferences (in inches) of people's heads Choose the correct answer below. Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. Doreen uses systematic sampling and Jung uses cluster sampling. C. The data are Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? Larger samples are better, if possible. c. The data are discrete because the data can only take on specific values. O C. The data are continuous because the data can. A type of sampling that is non-random is convenience sampling. a. You can specify conditions of storing and accessing cookies in your browser. 2003-2023 Chegg Inc. All rights reserved. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. Then survey every U.S. congressman in the cluster. Q: Classify the Following as Discrete and Continuous Data. The data are discrete because the data can only take on specific values. It is not possible to measure qualitative data in terms of. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. This particular bar graph in Figure $\PageIndex{4}$ can be difficult to understand visually. Doreen's sample will be different from Jung's sample. Hint: Data that are discrete often start with the words "the number of.". Making a schedule/timetable or studying together with your peers may help you in focusing and keep you active. 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. It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. All students in those two years are in the sample. The type of data that has clear spaces between values is discrete data. The colors of the houses are white, yellow, white, red, and white. Continuous data: When numerical data has . Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). 5 (2006). The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). Learn data analytics or software development & get guaranteed* placement opportunities. Quick Check Introduction to Data Science. What type of data does this graph show? Two graphs that are used to display qualitative data are pie charts and bar graphs. Nominal data.Ordinal data.Discrete data.Continuous data. A. To determine the average cost of a two-day stay in a hospital in Massachusetts, survey 100 hospitals across the state using simple random sampling. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. To choose a simple random sample of size three from the other members of her class, Lisa could put all 31 names in a hat, shake the hat, close her eyes, and pick out three names. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. If you count the number of phone calls you receive for each day of the week, you might get values such as zero, one, two, or three. 1: 23-54 (2012), ssh.dukejournals.org/content/36/1/23.abstract (accessed May 1, 2013). When you analyze data, it is important to be aware of sampling errors and nonsampling errors. Continuous data represents information that can be divided into smaller levels. State whether the data described below are discrete or continuous, and explain why. Convenience sampling is a nonrandom method of choosing a sample that often produces biased data. For example, the sample may not be large enough. The data are because.continuous the data can only take on specific values C. The job of the statistician is to see through the variability and draw appropriate conclusions. 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. If Doreen and Jung took larger samples (i.e. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. answer below. O B. Data from www.bookofodds.com/Relationsh-the-President. a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. These values do not have to be complete numbers, but they are values that are fixed. It is further classified as discrete data and continuous data. Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. Press ENTER. 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. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. B. According to a report, today, at least2.5 quintillion bytes of data are produced per day. How to differentiate the obtained results as discrete and continuous data? State whether the data described below are discrete or continuous, and explain why. the number of classes you take per school year. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. The action you just performed triggered the security solution. As a class, determine whether or not the following samples are representative. The continuous variable can take any value within a range. 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. Discrete vs continuous data are two broad categories of numeric variables. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. The data are discrete because the data can only take on specific . 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). feet. Different types of data are used in research, analysis, statistical analysis, data visualization, and data science. The data are the colors of houses. Your email address will not be published. B. Divide your college faculty by department. The data are continuous because the data can only take on specific values. For example, call-in surveys are invariably biased, because people choose to respond or not. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. A. O A. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. The examples you have seen in this book so far have been small. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. The data are discrete because the data can only take on specific values. discrete because the data can only. B. Number each department, and then choose four different numbers using simple random sampling. By using simple random sampling, select states to be part of the cluster. 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\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.