One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. The distance from G to H in Continuous data represents information that can be divided into smaller levels. However, in the real world age is often treated as a discrete variable because it makes more sense when collecting data and when reporting the results of a study. A variable is said to be continuous if it can take on any value in an interval. 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. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. B. Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). State whether the data described below are discrete or continuous, and explain why. Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student population? The option "B" is correct i.e. It also could not be used if the percentages added to less than 100%. It helps you in saving time later as you already have some knowledge about algebra. 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. To choose a simple random sample from each department, number each member of the first department, number each member of the second department, and do the same for the remaining departments. One-third of a number when decreased by 2 equals one-fifth of the nimenbe Find the number. Which pair is farther from camp? The data are the colors of backpacks. For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. You will learn why when you study confidence intervals. The data are continuous because the data can only take on specific values . A pie chart cannot be used. Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. Which is the safest route for the ship? A discrete variable, on the other hand, can only take on specific values. c. The data are continuous because the data can take on any value in an interval. The bar graph is used to graphically represent discrete data. Again, you sample the same five students. Notice that backpacks carrying three books can have different weights. Both samples are biased. 2013. If you feel tired at the moment, even that too is fine. The data . Weights are quantitative continuous data because weights are measured. Sometimes percentages add up to be more than 100% (or less than 100%). Then survey every U.S. congressman in the cluster. 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. 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 second sample is taken using a list of senior citizens who take P.E. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. Doreen's sample will be different from Jung's sample. The percent columns make comparing the same categories in the colleges easier. 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. Quantitative data may be either discrete or continuous. A type of sampling that is non-random is convenience sampling. Learn data analytics or software development & get guaranteed* placement opportunities. The discrete data are countable and have finite values; their subdivision is not possible. You can go for many of the career options if you pursue stats, you can get detailed information about all of the above-mentioned choices and also many more careers on the online website of Vedantu which tells the full forms and also the detailed explanation of each one of them. Question: State whether the data described below are discrete or continuous, and explain why. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. Data is the new oil. Today data is everywhere in every field. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. O C. The data are continuous because the data can. It answers the questions like how much, how many, and how often. For example, the price of a phone, the computers ram, the height or weight of a person, etc., falls under quantitative data. We might make different choices of what we think is the best graph depending on the data and the context. Factors not related to the sampling process cause nonsampling errors. For example, the sample may not be large enough. Discrete data. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? As a rule, the larger the sample, the smaller the sampling error. All data that are the result of counting are called quantitative discrete data. Our choice also depends on what we are using the data for. Your email address will not be published. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. Pick three quiz scores randomly from each column. Roll one fair die (six-sided) 20 times. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. Those 100 students are the sample. In the graph, the percentages add to more than 100% because students can be in more than one category. Create a cluster sample by considering each state as a stratum (group). The data are continuous because the data can only take on specific values. The first Surely, you can get all the study material on Vedantu mobile app- learn live online. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. 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. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. 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. The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. Is the study impartial? the data can only take on specific values . 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 \(\PageIndex{6}\). The actual process of sampling causes sampling errors. Cloudflare Ray ID: 7a2992ec2e151da5 Zanas house is at A, 500 feet from the intersection, and Tan's house is at B, 750 feet from F. Which distance is longer, the distance from Zana's house to Tan's house or the distance from Theresa's house to Is house? If the survey is done well, the answer is yes. A. All students in those two years are in the sample. Discrete data: When numerical data has values that are countable and specific to a particular category, it is called discrete data. B.The data are discrete because the data can only take on specific values. 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 data he collects are summarized in the histogram. discrete because the data can only take on specific values . 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This data helps market researchers understand the customers tastes and then design their ideas and strategies accordingly. 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 durations of a chemical reaction comma repeated . The data are continuous because The data are continuous because the data can take . 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. Try this experiment twice. The station wants to know if its audience would prefer more music or more talk shows. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. Examples of discrete variables are the number of students and age. No. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. Step 2: Discrete and continuous data. The numbers of programs installed on various computers ANSWERA.) The data are discrete because the data can only take on specific values. The safest route is to avoid the closest pair of islands. An administrative assistant is asked to stand in front of the library one Wednesday and to ask the first 100 undergraduate students he encounters what they paid for tuition the Fall semester. The term discrete means distinct or separate. B. Record the quiz scores that correspond to these numbers. A sample that is not representative of the population is biased. But graphs can be even more helpful in understanding the data. Read the study carefully to evaluate the work. Therefore, adjustment of the differential equations system under such data . Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. 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. When you have a numeric variable, you need to determine whether it is discrete or continuous. What type of data does this graph show? No. C. The land areas of different countries Choose the correct answer below. Gathering information about an entire population often costs too much or is virtually impossible. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Convenience sampling is a nonrandom method of choosing a sample that often produces biased data. These 15 quiz scores are the systematic sample. B. Over time, some continuous data can change. Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. 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. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. 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. You may wrap around (go back to the beginning). Press ENTER. Ivy's house is at E, 750 feet from the intersection. 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. a. Problems with samples: A sample must be representative of the population. air. The data are discrete because the data can take on any value in an interval. Also read: 22 Top Data Science Books Learn Data Science Like an Expert. The weights (in pounds) of their backpacks are 6.2, 7, 6.8, 9.1, 4.3. A study is done to determine the average tuition that San Jose State undergraduate students pay per semester. Instructions: Use the Random Number Generator to pick samples. feet, 160 sq. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. 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. 2. The data are discrete because the data can only take on specific values. 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. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. Work more on basics as they form the basis for many other concepts. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. 1.2.13 State whether the data described below are discrete or continuous and explain why.The times required by students to complete a statistics test Choose the correct answer below. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. the number of classes you take per school year. b. It is not possible to measure qualitative data in terms of. The data are the weights of backpacks with books in them. Asking all 10,000 students is an almost impossible task. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. b. Have some sleep, its important. This is completely natural. B. On your calculator, press Math and arrow over to PRB. State whether the data described below are discrete or continuous, and explain why. A. For column 1, Press 5:randInt( and enter 1,10). Press 5:randInt( and enter 1, 60). All members of the four departments with those numbers are the cluster sample. Statistical data needs to be critically analyzed, not simply accepted. O A. You can email the site owner to let them know you were blocked. Data that can take a decimal value and can vary across a range is called . 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. B. Quick Check Introduction to Data Science. The data are the number of machines in a gym. 1: 23-54 (2012), ssh.dukejournals.org/content/36/1/23.abstract (accessed May 1, 2013). Also, in both cases, not all students have a chance to be in either sample. It is classified into two broad categories: qualitative data and quantitative data. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. State whether the data described below are discrete or continuous, and explain why. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. Every value within a range is included in continuous data. You sample five gyms. The data are discrete because the data can take on any value in an interval. There are a number of options if you go for the statistics degree. Show More. It would be great if you already have a bit of knowledge about a course before opting for it. The amount a person grew (in height) in a year. QUESTIONState whether the data described below are discrete or continuous, and explain why. In today's changing times, pursuing a career in this subject is known to provide some of the most sought professional options. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. In other words, each sample of the same size has an equal chance of being selected. You count discrete data. Note: randInt(0, 30, 3) will generate 3 random numbers. Here are a few steps to prepare well for your exam which has statistics as a part of the course. It may take any numeric value, within a potential value range of finite or infinite. Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. Books for these classes tend to be expensive. 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). Hint: Data that are discrete often start with the words "the number of.". Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. If there is a repeat press ENTER again. Asking all 20,000 listeners is an almost impossible task. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. For instance, hair color might be black, dark brown, light brown, blonde, gray, or red. categorical, quantitative discrete or quantitative continuous. Number each department, and then choose four different numbers using simple random sampling. Collecting data carelessly can have devastating results. The data are discrete because the data can only take on specific values. However, if two or more of you are taking the same data and get very different results, it is time for you and the others to reevaluate your data-taking methods and your accuracy. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. 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. Many other courses are available online to master your foundational knowledge which may assist you later. The tables display counts (frequencies) and percentages or proportions (relative frequencies). Displaying percentages along with the numbers is often helpful, but it is particularly important when comparing sets of data that do not have the same totals, such as the total enrollments for both colleges in this example. . The data are continuous because the data can only take on specific values. The data are continuous because the data can take on any value in an interval. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. 5. Blood type might be AB+, O-, or B+. Press ENTER two more times for the other 2 random numbers. on any value in an interval . Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts.