The data are continuous because feet. Your email address will not be published. Nominal data.Ordinal data.Discrete data.Continuous data. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. If she needed to, Lisa could have generated more random numbers. 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You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. When a car is randomly selected, it is found to have 3 wipers. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. 4. What type of data is this? Quantitative data are always numbers. Nominal and ordinal data can act as both discrete and continuous. the number of classes you take per school year. Try to identify additional data sets in this example. For this example, suppose Lisa chooses to generate random numbers from a calculator. It may take any numeric value, within a potential value range of finite or infinite. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. Then survey every U.S. congressman in the cluster. These 18 quiz scores are a stratified sample. Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student population? A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. We are interested in the average amount of money a part-time student spends on books in the fall term. Data are individual items of information that come from a population or sample. Divide your college faculty by department. However, generally, we use age as a discrete variable. How to differentiate the obtained results as discrete and continuous data? In one study, eight 16 ounce cans were measured and produced the following amount (in ounces) of beverage: 15.8; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . A. Record the number of ones, twos, threes, fours, fives, and sixes you get in the following table (frequency is the number of times a particular face of the die occurs): Did the two experiments have the same results? amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). c. The data are continuous because the data can take on any value in an interval. Data that can take a decimal value and can vary across a range is called . Each travels 2 miles, then changes direction and travels 1.2 miles. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. O A. What is the type of sampling in each case? To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. The data are continuous because the data can only take on specific values. The color of hair can be considered nominal data, as one color cant be compared with another color. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? Do not automatically assume that the study is good, but do not automatically assume the study is bad either. Create a cluster sample by picking two of the columns. The registrar at State University keeps records of the number of credit hours students complete each semester. Legal. Otherwise, the variable is nominal. O A. Solution: - Data : The capacities of different hotels. Dominic Lusinchi, President Landon and the 1936 Literary Digest Poll: Were Automobile and Telephone Owners to Blame? Social Science History 36, no. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. B. Common problems to be aware of include. Number of bacteria in a petri dish is 12,120. When you have a numeric variable, you need to determine whether it is discrete or continuous. There are a number of options if you go for the statistics degree. We have grown leaps and bounds to be the best Online Tuition Website in India with immensely talented Vedantu Master Teachers, from the most reputed institutions. 5 (2006). A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. a. Three cell phone towers form APQR. B. There are two types of data: Qualitative and Quantitative data, which are further classified into: 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. Question: CS State whether the data described below are discrete or continuous, and explain why. A discrete data set because there are a finite number of possible values. The data are the colors of houses. Sleep deprivation is of no use, instead, you should take a nap to relax the nerves of your brain in order to learn and study later. However for practical reasons, in most populations, simple random sampling is done without replacement. 1. b. 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. In other words, each sample of the same size has an equal chance of being selected. The data will be quantitative, say 2+3 (=5) apples. You measure continuous data. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. Most data can be put into the following categories: Qualitative data are the result of categorizing or describing attributes of a population. . You may wrap around (go back to the beginning). B.The data are discrete because the data can only take on specific values. The class boundaries are 10 to less than 13, 13 to less than 16, 16 to less than 19, 19 to less than 22, and 22 to less than 25. The total number of students in a class is an example of discrete data. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The graph in Figure \(\PageIndex{5}\) is a Pareto chart. Step One: Master the Foundational Knowledge. ), Ranking of people in a competition (First, Second, Third, etc. feet, 160 sq. The table displays Ethnicity of Students but is missing the "Other/Unknown" category. The data are discrete because the data can only take on specific values. Do you think that this sample is representative of (or is characteristic of) the entire 20,000 listener population? The data are the colors of backpacks. 2003-2023 Chegg Inc. All rights reserved. We choose ten different part-time students from the disciplines of chemistry, math, English, psychology, sociology, history, nursing, physical education, art, and early childhood development. The data are because.continuous the data can take on any value in an interval B. State whether the data described below are discrete or continuous, and explain why. The data are the areas of lawns in square feet. b. Tips and Tricks to study Discrete and Continuous Data, Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. For accuracy, carry the decimal answers to four decimal places. Notice that backpacks carrying three books can have different weights. The actual process of sampling causes sampling errors. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of Any group of n individuals is equally likely to be chosen by any other group of n individuals if the simple random sampling technique is used. 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. D. The 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. on any value in an interval . The list of fruit is nominal. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. Systematic sampling is frequently chosen because it is a simple method. You can email the site owner to let them know you were blocked. 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. Examples are lengths, temperature, etc. Sample size issues: Samples that are too small may be unreliable. But still, their samples would be, in all likelihood, different from each other. 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 we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. The data are continuous because the data can take on any value in an interval . 25. They spend: $50; $40; $36; $15; $50; $100; $40; $53; $22; $22. Be aware that many large samples are biased. The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). In this situation, create a bar graph and not a pie chart. A local radio station has a fan base of 20,000 listeners. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. Experts are tested by Chegg as specialists in their subject area. C. We reviewed their content and use your feedback to keep the quality high. a chemical reaction comma repeated several times Choose the correct Read the study carefully to evaluate the work. Self-selected samples: Responses only by people who choose to respond, such as call-in surveys, are often unreliable. Besides the chemistry course, some of them are also taking first-term calculus. on any value in an interval . The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. A.The data are continuous because the data can only take on the data can only take on specificvalues. Show how you know. Those 100 students are the sample. 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 pollster interviews all human resource personnel in five different high tech companies. A. B. Quick Check Introduction to Data Science. Q: Classify the Following as Discrete and Continuous Data. 5. Ungrouped frequency distribution of discrete data is performed against a single value. This data helps a company analyze its business, design its strategies, and help build a successful data-driven decision-making process. It is further classified as discrete data and continuous data. state whether the data is continous or discrete The durations of (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.) 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. 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. In today's changing times, pursuing a career in this subject is known to provide some of the most sought professional options. No. Show More. . the data can only take on specific values . State whether the data described below are discrete or continuous, and explain why. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Finite values have discrete data. Ra Your email address will not be published. Many of these students are taking first term calculus in addition to the organic chemistry class. Books for these classes tend to be expensive. OC. Asking all 10,000 students is an almost impossible task. The data are the weights of backpacks with books in them. Qualitative data tells about the perception of people. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. You can specify conditions of storing and accessing cookies in your browser. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. The term discrete means distinct or separate. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. 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? 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. 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. Roll one fair die (six-sided) 20 times. To find the average GPA of all students in a university, use all honor students at the university as the sample. Just know that you have prepared and worked hard for this. Try this experiment twice. Our choice also depends on what we are using the data for. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. according to measurement accuracy, it can be significantly subdivided into smaller sections. B. You are going to use the random number generator to generate different types of samples from the data. 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. For the purpose of analysis, data are presented as the facts and figures collected together. A stated earlier, Lengths are in general, continuous variables. A defective counting device can cause a nonsampling error. 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. Grouped distribution of continuous data tabulation frequencies is performed against a value group. Q: State whether the data below are discrete or continuous, explain why. You should ask the doubt there and then clear it, analyze it and work on it. 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. 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. categorical, quantitative discrete or quantitative continuous. Which pair is farther from camp? 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. What type of data does this graph show? A. Most samples are taken from large populations and the sample tends to be small in comparison to the population. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Starting with that student, every 50th student is chosen until 75 students are included in the sample. The data are discrete because the data can only take on specific values. The data are continuous because the data can only take on specific values. , i.e. The durations of a chemical reaction comma repeated . Compare the fractions 9/25 and 9/24. LBCC Distance Learning (DL) program data in 2010-2011. lastbaldeagle. Continuous data: When numerical data has . Instead, we use a sample of the population. Discrete data. The safest route is to avoid the closest pair of islands. B. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. State whether each situation is categorical or quantitative. Work more on basics as they form the basis for many other concepts. You count discrete data. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. This variability in samples cannot be stressed enough. The station uses convenience sampling and surveys the first 200 people they meet at one of the stations music concert events. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. The data are continuous because State whether the data described below are discrete or continuous, and explain why. Also, in both cases, not all students have a chance to be in either sample. continuous, and explain why. These data are represented mainly by a bar graph, number line, or frequency table. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. Record these numbers. and the Michigan State University Institutional Animal Care and Use Committee prior to the start of data collection. To find the average annual income of all adults in the United States, sample U.S. congressmen. Blood type might be AB+, O-, or B+. Weights are quantitative continuous data because weights are measured. These data cant be broken into decimal or fraction values. Statistics involves organizing, analyzing, interpreting, and representing data. Which two towers are closest together. O A. 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 second pair starts due west and then turns 40 toward south. Larger samples are better, if possible. The Literary Digest Poll, Virtual Laboratories in Probability and Statistics, Gallup Presidential Election Trial-Heat Trends, 19362008, Gallup Politics. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. Doreen uses systematic sampling and Jung uses cluster sampling. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. Discrete. 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. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. 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. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. By using simple random sampling, select states to be part of the cluster. Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. Determine whether the data described below are qualitative or quantitative and explain why: . Therefore this is discrete data. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. Small letters like \(x\) or \(y\) generally are used to represent data values. 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. You sample five gyms. O C. Pick three quiz scores randomly from each column. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. 10. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. 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. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. The land areas of different countries Choose the correct answer below. As a class, determine whether or not the following samples are representative. Work collaboratively to determine the correct data type (quantitative or qualitative). It helps you in saving time later as you already have some knowledge about algebra. In the graph, the percentages add to more than 100% because students can be in more than one category. All you can do right now is to just take a deep breath and believe in yourself! Continuous data represents information that can be divided into smaller levels. a. It can be the version of an android phone, the height of a person, the length of an object, etc. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). the distance it is from your home to the nearest grocery store. 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. All data that are the result of counting are called quantitative discrete data. 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. 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. Then choose every fiftieth name thereafter until you have a total of 400 names (you might have to go back to the beginning of your phone list). The following graph is the same as the previous graph but the Other/Unknown percent (9.6%) has been included. Statistics and Probability questions and answers, CS 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. feet, and 210 sq. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. A high school principal polls 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors regarding policy changes for after school activities. Again, you sample the same five students. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. 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. The two numbers are for two of the columns. c . These values do not have to be complete numbers, but they are values that are fixed.