state whether the data is discrete or continuous11 Mar state whether the data is discrete or continuous
Be aware that many large samples are biased. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. On the other hand, if we count large quantities of any discrete entity. Continuous data. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. It is understandable that it must be making you feel nervous right now but your emotions are valid! Have some sleep, its important. Step One: Master the Foundational Knowledge. Collaborative Exercise 1.2. A high school principal polls 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors regarding policy changes for after school activities. Determine whether the given value is from a discrete or continuous data set. A discrete variable, on the other hand, can only take on specific values. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. The height of a student from age 5-15 is continuous data because the height varies continuously from age 5-15 which is not a constant for 10 years. The triangles show the position of the gate in relation to its closed position. In other words, each sample of the same size has an equal chance of being selected. You sample five students. The numbers of books (three, four, two, and one) are the quantitative discrete data. While working on these data, it is important to know the types of data to process them and get the right results. 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. It also could not be used if the percentages added to less than 100%. on any value in an interval . Step 2: Discrete and continuous data. They both did. Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. Doreen uses systematic sampling and Jung uses cluster sampling. It is classified into two broad categories: qualitative data and quantitative data. These kinds of data can be considered in-between qualitative and quantitative data. It may take any numeric value, within a potential value range of finite or infinite. The data are continuous because the data can only take on specific values. You have to be dedicated. The data are because.continuous the data can only take on specific values C. 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. For example, if the population is 25 people, the sample is ten, and you are sampling with replacement for any particular sample, then the chance of picking the first person is ten out of 25, and the chance of picking a different second person is nine out of 25 (you replace the first person). The easiest method to describe is called a simple random sample. There are a number of options if you go for the statistics degree. Variation is present in any set of data. Your answer is correct. Continuous data: When numerical data has . A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. 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. Our choice also depends on what we are using the data for. If you feel tired at the moment, even that too is fine. Question: State whether the data described below are discrete or continuous, and explain why. Most data can be put into the following categories: Qualitative data are the result of categorizing or describing attributes of a population. B. It would be great if you already have a bit of knowledge about a course before opting for it. State whether the data described below are discrete or continuous, and explain why. Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. We need to evaluate the statistical studies we read about critically and analyze them before accepting the results of the studies. O A. Frequently Asked Questions, Pew Research Center for the People & the Press, www.people-press.org/methodolwer-your-polls (accessed May 1, 2013). LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? 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. Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. Record these numbers. Record the number and the first quiz score. This data is so important for us that it becomes important to handle and store it properly, without any error. 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. It is classified into two broad categories: qualitative data and quantitative data. four children shared a two third liter bottle of drink equal.how much did each child drink , two pairs of hikers leave the same camp heading in opposite divections. 10. - Example, Formula, Solved Examples, and FAQs, Line Graphs - Definition, Solved Examples and Practice Problems, Cauchys Mean Value Theorem: Introduction, History and Solved Examples. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. Factors not related to the sampling process cause nonsampling errors. Explain your reasoning. Indicate whether quantitative data are continuous or discrete. A sample that is not representative of the population is biased. The data are continuous because the data can only take on specific values. Biased samples that are not representative of the population give results that are inaccurate and not valid. The data are continuous because the data can take on any value in an interval. Can we have both discrete data and continuous data from the same experiment? The data are continuous because the data can only take on specific values. Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. Indicate whether quantitative data are continuous or discrete. Also, the sample represents only those who showed up to the event earlier than the majority. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. The areas of the lawns are 144 sq. feet. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. feet, 180 sq. B. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . You count discrete data. a. Just as there is variation in data, there is variation in samples. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. B. Neither would be wrong, however. The data are discrete because the data can only take on specific values. Self-selected samples: Responses only by people who choose to respond, such as call-in surveys, are often unreliable. Continuous data represents information that can be divided into smaller levels. A. OB. Press ENTER. A variable is said to be continuous if it can take on any value in an interval. The station uses convenience sampling and surveys the first 200 people they meet at one of the stations music concert events. A completely random method is used to select 75 students. You should ask the doubt there and then clear it, analyze it and work on it. It helps you in saving time later as you already have some knowledge about algebra. The weights (in tons) of the trees in a forestANSWERA.) Discrete data. It is better for the person conducting the survey to select the sample respondents. . The first sample probably consists of science-oriented students. This variability in samples cannot be stressed enough. A. All data that are the result of counting are called quantitative discrete data. There are no strict rules concerning which graphs to use. It is further classified as discrete data and continuous data. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. Use the column numbers: one through six. Over time, some continuous data can change. For example, suppose Lisa wants to form a four-person study group (herself and three other people) from her pre-calculus class, which has 31 members not including Lisa. The color of hair can be considered nominal data, as one color cant be compared with another color. the data can only take on specific values . The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? These data take on only certain numerical values. It may take any numeric value, within a potential value range of finite or infinite. Larger samples are better, if possible. Data from www.bookofodds.com/Relationsh-the-President. and the Michigan State University Institutional Animal Care and Use Committee prior to the start of data collection. The station wants to know if its audience would prefer more music or more talk shows. Instead, we use a sample of the population. Show Less. Data that can take a decimal value and can vary across a range is called . The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. Additional Resources The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). Instead of that, just revise what youve already done. On your calculator, press Math and arrow over to PRB. A bar graph is appropriate to compare the relative size of the categories. These values do not have to be complete numbers, but they are values that are fixed. To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. You will learn why when you study confidence intervals. Now, suppose we take a third sample. For example, call-in surveys are invariably biased, because people choose to respond or not. The use of discrete and continuous quantitative variables would be helpful for detecting intervention effects . It is not possible to measure qualitative data in terms of. To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. 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. Question: CS State whether the data described below are discrete or continuous, and explain why. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. The examples you have seen in this book so far have been small. As a rule, the larger the sample, the smaller the sampling error. b. It is easy in many cases, discrete data is preceded by the number of, which makes the differentiation of results easier. a chemical reaction comma repeated several times Choose the correct Books for these classes tend to be expensive. Procrastination isnt even the last option if you are preparing for a statistics exam. Evaluate it on its merits and the work done. O A. Press ENTER. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. These data are represented mainly by a bar graph, number line, or frequency table. Show how you know. Collecting data carelessly can have devastating results. If you and your friends carry backpacks with books in them to school, the numbers of books in the backpacks are discrete data and the weights of the backpacks are continuous data. It is countable. State whether the data described below are discrete or continuous, and explain why. A random number generator is used to pick two of those years. 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. In this article, we have discussed the data types and their differences. Common problems to be aware of include. For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. Compare the fractions 999/10,000 and 999/9,999. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. Most of these students are, more than likely, paying more than the average part-time student for their books. Which two towers are closest together. Qualitative data are generally described by words or letters. Therefore, adjustment of the differential equations system under such data . The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. Create a simple random sample of 15 quiz scores. answer below. Statistics involves organizing, analyzing, interpreting, and representing data. 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. 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 data are discrete because the data can take on any value in an interval. Asking all 20,000 listeners is an almost impossible task. You may wrap around (go back to the beginning). These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. The data are the weights of backpacks with books in them. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. Tables are a good way of organizing and displaying data. True random sampling is done with replacement. We all know that time is very important, it doesnt wait for anyone. This is completely natural. Click to reveal Ltd. All rights reserved. If all the money in the 555, find the number of 10 coins in it 12. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. These values do not have to be complete numbers, but they are values that are fixed. Try this experiment twice. 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. Grouped distribution of continuous data tabulation frequencies is performed against a value group. 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. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. . 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). The data are discrete because the data can only take on specific values. Data may come from a population or from a sample. A pie chart cannot be used. No. There are several different methods of random sampling. A continuous data set because there are infinitely mamy possible values and those values cannot be counted. Hint: Data that are discrete often start with the words "the number of." the number of pairs of shoes you own. You measure continuous data. Record the quiz scores that correspond to these numbers. State whether the data described below are discrete or continuous, and explain why. B.The data are discrete because the data can only take on specific values. Can I get some help? Quick Check Introduction to Data Science. The discrete data are countable and have finite values; their subdivision is not possible. The type of data that has clear spaces between values is discrete data. The sample probably consists more of people who prefer music because it is a concert event. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. According to a report, today, at least 2.5 quintillion bytes of data are produced per day. The prison populations of different countries ha Choose the correct answer below. Therefore this is discrete data. The data are discrete because the data can only take on specific values. A. discrete because the data can only take on specific values . Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. O A. according to measurement accuracy, it can be significantly subdivided into smaller sections. These data consist of audio, images, symbols, or text. C. The data are Save my name, email, and website in this browser for the next time I comment. Learn data analytics or software development & get guaranteed* placement opportunities. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. Each random number may only contribute one class member. The list of fruit is nominal. However, generally, we use age as a discrete, NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 8 Social Science, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. The data are continuous because the data can take on any value in an interval. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. It only contains finite values, the subdivision of which is not possible. Position 1 is less than the distance from G to H in Position 2. Measuring angles in radians might result in such numbers as \(\frac{\pi}{6}\), \(\frac{\pi}{3}\), \(\frac{\pi}{2}\), \(\pi\), \(\frac{3\pi}{4}\), and so on. 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. 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. 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. data are discrete because the data can take on any value in an QUESTIONState whether the data described below are discrete or continuous, and explain why. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. 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. Points in a graph of the discrete function remain unconnected. The data are continuous because the data can only take on specific values. the type of car you drive. For example, the sample may not be large enough. 26. The data are continuous because the data can take on any value in an interval. Another example is learning how to use calculators. What type of data is this? This site is using cookies under cookie policy . Doreen and Jung each take samples of 500 students. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. Just know that you have prepared and worked hard for this. 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. Look at Figures \(\PageIndex{3}\) and \(\PageIndex{4}\) and determine which graph (pie or bar) you think displays the comparisons better.
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