state whether the data is discrete or continuous state whether the data is discrete or continuous

Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. The data are continuous because the data can only take on specific values. Hint: Data that are discrete often start with the words "the number of." the number of pairs of shoes you own. Record the number. Intraobserver repeatability for a standardized protocol to quantify Even if Doreen and Jung used the same sampling method, in all likelihood their samples would be different. You sample the same five students. 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. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. The first To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. on any value in an interval . 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. Continuous data. answer below. 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. There are several different methods of random sampling. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. If the survey is done well, the answer is yes. On your calculator, press Math and arrow over to PRB. The data are discrete because the data can only take on specific values. The use of discrete and continuous quantitative variables would be helpful for detecting intervention effects . That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. C. The data are Additional Resources State whether the data described below are discrete or continuous, and If we were to examine two samples representing the same population, even if we used random sampling methods for the samples, they would not be exactly the same. Number of bacteria in a petri dish is 12,120. The sample probably consists more of people who prefer music because it is a concert event. Nominal Data is used to label variables without any order or quantitative value. In other words, each sample of the same size has an equal chance of being selected. The data are continuous because Problems with samples: A sample must be representative of the population. Most statisticians use various methods of random sampling in an attempt to achieve this goal. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. Data are individual items of information that come from a population or sample. The ordinal data only shows the sequences and cannot use for statistical analysis. State whether the data described below are discrete or continuous, and Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. 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. Examples of discrete variables are the number of students and age. O A. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. State whether the data described below are discrete or You can specify conditions of storing and accessing cookies in your browser. The continuous data can be broken down into. Why or why not? (a) Is the data discrete or continuous? Why? (b) Prepare a freq | Filo Gathering information about an entire population often costs too much or is virtually impossible. Items a, e, f, k, and l are quantitative discrete; items d, j, and n are quantitative continuous; items b, c, g, h, i, and m are qualitative. Indicate whether quantitative data are continuous or discrete. Another example is learning how to use calculators. Collaborative Exercise 1.2. Surveys mailed to households and then returned may be very biased (they may favor a certain group). It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. This page titled 1.2: Variables and Types of Data is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. The number of books in a rack is a finite countable number. discrete because the data can only. Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. B. It is classified into two broad categories: qualitative data and quantitative data. It also could not be used if the percentages added to less than 100%. 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. on any value in an interval . A discrete data set because there are a finite number of possible values. In the graph, the percentages add to more than 100% because students can be in more than one category. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. The data are discrete because 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 \(\PageIndex{6}\). All members of the four departments with those numbers are the cluster sample. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? Qualitative data tells about the perception of people. Samples that contain different individuals result in different data. The data are continuous because the data can only take on specific values . 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? Weights are quantitative continuous data because weights are measured. It may take any numeric value, within a potential value range of finite or infinite. 26. Ra Record the three quiz scores in column one that correspond to these three numbers. Discrete data. 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. The data are discrete because the data can take on any value in an interval. According to a report, today, at least 2.5 quintillion bytes of data are produced per day. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. 2013 - 2023 Great Lakes E-Learning Services Pvt. , i.e. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. Step One: Master the Foundational Knowledge. There are a number of options if you go for the statistics degree. The number of animals in a zoo is continuous data because the number of animals varies yearly depending on the reproduction of new animals or the arrival of new animals. The data are discrete because the data can only take on specific values. The circumferences (in inches) of people's heads Choose the correct answer below. State whether the data described below are discrete or continuous, and explain why. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. We might make different choices of what we think is the best graph depending on the data and the context. When properly selected, larger samples model the population more closely than smaller samples. It is understandable that it must be making you feel nervous right now but your emotions are valid! The discrete data contain the values that fall under integers or whole numbers. The numbers of books (three, four, two, and one) are the quantitative discrete data. It is better for the person conducting the survey to select the sample respondents. A. We are interested in the average amount of money a part-time student spends on books in the fall term. Therefore this is discrete data. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. The data are discrete because the data can only take on specific . the distance it is from your home to the nearest grocery store. feet, 160 sq. Blood type might be AB+, O-, or B+. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. O A. The data are the colors of houses. The following graph is the same as the previous graph but the Other/Unknown percent (9.6%) has been included. Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. Roll one fair die (six-sided) 20 times. c . 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). 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. A. Continuous data are in the form of fractional numbers. Doreen's sample will be different from Jung's sample. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. c. The data are continuous because the data can take on any value in an interval. The tables display counts (frequencies) and percentages or proportions (relative frequencies). It includes only those values which are separate and can only be counted in, , which means that the data can not be split into, Continuous data is the data that can be of any value. Create a stratified sample by column. Ducks in a pond are discrete data because the number of ducks is a finite number. a chemical reaction comma repeated several times Choose the correct Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. Indicate whether quantitative data are continuous or discrete. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. The data are continuous because the data can take on any value in an interval . Is Age a Discrete or Continuous Variable? - Statology These kinds of data are also known as Numerical data. The continuous data can be broken down into fractions and decimals, i.e. The option "B" is correct i.e. State whether the data described below are discrete or? continuous, and The data are the areas of lawns in square feet. 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. Its really normal for you to feel anxious before your exam especially when the subject is statistics. For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. The following pie charts have the Other/Unknown category included (since the percentages must add to 100%). From that number, count ten quiz scores and record that quiz score. And this is the reason why most students find it to be an interesting subject. A type of sampling that is non-random is convenience sampling. Press ENTER two more times for the other 2 random numbers. This is completely natural. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . B. data are discrete because the data can take on any value in an Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. Data is the new oil. Today data is everywhere in every field. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. The examples you have seen in this book so far have been small. Determine whether the given value is from a discrete or continuous data The bar graph is used to graphically represent discrete data. 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status page at https://status.libretexts.org, Students who intend to transfer to a 4-year educational institution. b. No. state whether the data is continous or discrete The durations of Then survey every U.S. congressman in the cluster. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. 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. The data he collects are summarized in the histogram. As you become accustomed to sampling, the variability will begin to seem natural. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. 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. Procrastination isnt even the last option if you are preparing for a statistics exam. If they are not, discuss the reasons. The distance from G to H in In some situations, having small samples is unavoidable and can still be used to draw conclusions. 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. It is not possible to measure qualitative data in terms of. The triangles show the position of the gate in relation to its closed position. 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. . Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. Question: State whether the data described below are discrete or continuous, and explain why. Continuous data represents information that can be divided into smaller levels. Determine whether the data described below are qualitative or quantitative and explain why: . according to measurement accuracy, it can be significantly subdivided into smaller sections. If all the money in the 555, find the number of 10 coins in it 12. Tables are a good way of organizing and displaying data. The measure of ZQ is 10 less than the measure of LP. You should know how to manage your time and utilize it in the best way possible. Still, continuous data stores the fractional numbers to record different types of data such as temperature, height, width, time, speed, etc. answer below. 4. B. a. The job of the statistician is to see through the variability and draw appropriate conclusions. I want to study the topic of Statistics for my college-level exams? Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. Position 1 is less than the distance from G to H in Position 2. pair starts due east and then turns 50 toward north. The durations of a chemical reaction comma repeated . 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. where n is the number of tips in the phylogeny ( ) , P is the continuous trait value of each species, and Q is the expected value of each species given the continuous trait model calculated following Equation (11) of Beaulieu et al. a. All students in those two years are in the sample. 1. Q: State whether the data below are discrete or continuous, explain why. If you feel tired at the moment, even that too is fine. This site is using cookies under cookie policy . Press ENTER. Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). The numbers of majors offered by colleges Choose the correct answer below. These data are represented mainly by a bar graph, number line, or frequency table. For example, you could stratify (group) your college population by department and then choose a proportionate simple random sample from each stratum (each department) to get a stratified random sample. Asking all 10,000 students is an almost impossible task. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Try to identify additional data sets in this example. categorical, quantitative discrete or quantitative continuous. Surveys are typically done without replacement. O C. 3. The amount of money they spend on books is probably much less than the average parttime student. In this situation, create a bar graph and not a pie chart. Pick three quiz scores randomly from each column. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). A study is done to determine the average tuition that San Jose State undergraduate students pay per semester. For column 1, Press 5:randInt( and enter 1,10). Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. D. The Instead of that, just revise what youve already done. The Literary Digest Poll, Virtual Laboratories in Probability and Statistics, Gallup Presidential Election Trial-Heat Trends, 19362008, Gallup Politics. So, you will get the result too! Just know that you have prepared and worked hard for this. 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. Continuous information is information that falls into a continuous series. O A. b. Determine whether the given value is from a discrete or continuous data set. State whether the data described below are discrete or continuous, and the number of classes you take per school year. These 15 quiz scores are the systematic sample. For example, you can not have a natural order for apple, orange, and banana. Solved State whether the data described below are discrete - Chegg 10. A completely random method is used to select 75 students. Therefore, adjustment of the differential equations system under such data . 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. Biased samples that are not representative of the population give results that are inaccurate and not valid. QUESTIONState whether the data described below are discrete or continuous, and explain why. 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.