The term discrete means distinct or separate. And this is the reason why most students find it to be an interesting subject. The numbers of books (three, four, two, and one) are the quantitative discrete data. Press 5:randInt( and enter 1, 60). All data that are the result of counting are called quantitative discrete data. 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. Question: State whether the data described below are discrete or continuous, and explain why. Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. The data are continuous because Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The second pair starts due west and then turns 40 toward south. Discrete. These 15 quiz scores are the systematic sample. Qualitative data tells about the perception of people. It is from a continuousdata set because 218+ Consultants 4.7 Satisfaction rate on any value in an interval . The continuous data can be broken down into. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Most samples are taken from large populations and the sample tends to be small in comparison to the population. For the purpose of analysis, data are presented as the facts and figures collected together. Many other courses are available online to master your foundational knowledge which may assist you later. 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. 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. Compare the fractions 999/10,000 and 999/9,999. Therefore this is discrete data. Indicate whether quantitative data are continuous or discrete. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Hair color, blood type, ethnic group, the car a person drives, and the street a person lives on are examples of qualitative data. Causality: A relationship between two variables does not mean that one causes the other to occur. 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. OC. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? But graphs can be even more helpful in understanding the data. 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. Additional Resources 25. The actual process of sampling causes sampling errors. However for practical reasons, in most populations, simple random sampling is done without replacement. The data are the colors of houses. O A. answer below. O A. Books for these classes tend to be expensive. Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. There are no strict rules concerning which graphs to use. Variation is present in any set of data. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. a. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. Explain your reasoning. A.The data are continuous because the data can only take on the data can only take on specificvalues. It would be great if you already have a bit of knowledge about a course before opting for it. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Look at Figures \(\PageIndex{3}\) and \(\PageIndex{4}\) and determine which graph (pie or bar) you think displays the comparisons better. Problems with samples: A sample must be representative of the population. You should know how to manage your time and utilize it in the best way possible. Quantitative data are the result of counting or measuring attributes of a population. B. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. 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. It may take any numeric value, within a potential value range of finite or infinite. Frequently Asked Questions, Pew Research Center for the People & the Press, www.people-press.org/methodolwer-your-polls (accessed May 1, 2013). . Larger samples are better, if possible. The data are the weights of backpacks with books in them. Divide your college faculty by department. A. 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. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Samples that contain different individuals result in different data. A defective counting device can cause a nonsampling error. The data are discrete because the data can take on any value in an interval. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p Also, in both cases, not all students have a chance to be in either sample. The measure of ZQ is 10 less than the measure of LP. The number of classes a student missed. CS State whether the data described below are discrete or continuous, and explain why. 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. 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 pie chart cannot be used. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. 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. A continuous data set because there are infinitely mamy possible values and those values cannot be counted. All students in those two years are in the sample. O A. B. C. The data are - Example, Formula, Solved Examples, and FAQs, Line Graphs - Definition, Solved Examples and Practice Problems, Cauchys Mean Value Theorem: Introduction, History and Solved Examples. This section will describe a few of the most common methods. If there is a repeat press ENTER again. Create a cluster sample by picking two of the columns. The data are continuous because the data can take Think about what contributes to making Doreens and Jungs samples different. B. The distance from G to H in Which pair is farther from camp? O C. The data are continuous because the data can. What is the type of sampling in each case? The data are discrete because the data can only take on specific values. Discrete data. The data are continuous because the data can only take on specific values . Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. 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. You may wrap around (go back to the beginning). 8. A. 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. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. You sample five houses. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. Performance & security by Cloudflare. The exact lengths (in kilometers) of the ocean coastlines of different countries. The quiz scores (20 of them) in these 2 columns are the cluster sample. The data are discrete because the data can take on any value in an interval. If Doreen and Jung took larger samples (i.e. A. , i.e. First, we use convenience sampling and survey ten students from a first term organic chemistry class. State whether the data described below are discrete or continuous, and explain why. 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. As you become accustomed to sampling, the variability will begin to seem natural. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. 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). This data is so important for us that it becomes important to handle and store it properly, without any error. The exact lengths (in kilometers) of the ocean coastlines of different countries. The data are discrete because the data can only take on specific values. Save my name, email, and website in this browser for the next time I comment. When you analyze data, it is important to be aware of sampling errors and nonsampling errors. It is not possible to measure qualitative data in terms of. Surely, you can get all the study material on Vedantu mobile app- learn live online. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. 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). 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. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Most data can be put into the following categories: Qualitative data are the result of categorizing or describing attributes of a population. Here are a few steps to prepare well for your exam which has statistics as a part of the course. Systematic sampling is frequently chosen because it is a simple method. As a rule, the larger the sample, the smaller the sampling error. state whether the data is continous or discrete The durations of Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. The first sample probably consists of science-oriented students. State whether the data described below are discrete or continuous, and explain why. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. All members of the four departments with those numbers are the cluster sample. 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. 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). 2003-2023 Chegg Inc. All rights reserved. State whether the data described below are discrete or continuous and explain why The amounts of time that different - Answered by a verified Tutor . Discrete vs continuous data are two broad categories of numeric variables. Doreen uses systematic sampling and Jung uses cluster sampling. The data are the number of books students carry in their backpacks. To find the average GPA of all students in a university, use all honor students at the university as the sample. The points are associated with an unbroken line. Continuous data represents information that can be divided into smaller levels. This is completely natural. The station wants to know if its audience would prefer more music or more talk shows. The data are continuous because the data can only take on specific values. Still, continuous data stores the fractional numbers to record different types of data such as temperature, height, width, time, speed, etc. Discrete is data that can take only certain values. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. For this example, suppose Lisa chooses to generate random numbers from a calculator. Record the quiz scores that correspond to these numbers. B. The color of hair can be considered nominal data, as one color cant be compared with another color. 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. Surveys are typically done without replacement. We are interested in the average amount of money a part-time student spends on books in the fall term. 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. the type of car you drive. Random sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling. Another example is learning how to use calculators. Data is the new oil. Today data is everywhere in every field. You should ask the doubt there and then clear it, analyze it and work on it. 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. 2. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. Also, the sample represents only those who showed up to the event earlier than the majority. 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. 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 percent columns make comparing the same categories in the colleges easier. A discrete data set because there are a finite number of possible values. A random sample is a representative group from the population chosen by using a method that gives each individual in the population an equal chance of being included in the sample. 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. The continuous data can be broken down into fractions and decimals, i.e. the data can only take on specific values . Which two towers are closest together. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. Each random number may only contribute one class member. Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. This is true even when the samples are well-chosen and representative of the population. Question: CS State whether the data described below are discrete or continuous, and explain why. However, students shall understand that it is important for them to recognize their interests and based on that, select the best career path possible. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. For example, you can not have a natural order for apple, orange, and banana. Continuous data is the data that can be of any value. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. Examples of discrete variables are the number of students and age. 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. 5 (2006). Many of these students are taking first term calculus in addition to the organic chemistry class. The registrar at State University keeps records of the number of credit hours students complete each semester. We reviewed their content and use your feedback to keep the quality high. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. Roll one fair die (six-sided) 20 times. State whether the data described below are discrete or continuous, and explain why: . Work more on basics as they form the basis for many other concepts. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. The land areas of different countries Choose the correct answer below. continuous, and explain why. Press ENTER two more times for the other 2 random numbers. The total number of students in a class is an example of discrete data. The data he collects are summarized in the histogram. 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.