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

The continuous data can be broken down into fractions and decimals, i.e. The prison populations of different countries ha Choose the correct answer below. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. Press ENTER 2 more times (even the repeats). amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). b. The data are continuous because the data can take Statistics involves organizing, analyzing, interpreting, and representing data. No. Q: State whether the data below are discrete or continuous, explain why. The data . B. B. the chance of picking the first person is 1,000 out of 10,000 (0.1000); the chance of picking a different second person for this sample is 999 out of 10,000 (0.0999); the chance of picking the same person again is 1 out of 10,000 (very low). Arrow over to PRB. Data may come from a population or from a sample. Those 100 students are the sample. Your phone book contains 20,000 residence listings. Explain your reasoning. LBCC Distance Learning (DL) program data in 2010-2011. lastbaldeagle. When a sampling bias happens, there can be incorrect conclusions drawn about the population that is being studied. We need to evaluate the statistical studies we read about critically and analyze them before accepting the results of the studies. It is countable. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. The data are discrete because the data can take on any value in an interval. A sample that is not representative of the population is biased. When a car is randomly selected, it is found to have 3 wipers. This is true even when the samples are well-chosen and representative of the population. To find the average annual income of all adults in the United States, sample U.S. congressmen. 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. Is the study impartial? This site is using cookies under cookie policy . 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 continuous because the data can take on any value in an interval. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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. However the third random number, 0.14669, contains 14 (the fourth random number also contains 14), the fifth random number contains 05, and the seventh random number contains 04. You measure continuous data. These data are represented mainly by a bar graph, number line, or frequency table. What are the career options in the field of Statistics? Performance & security by Cloudflare. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. These values do not have to be complete numbers, but they are values that are fixed. For this example, suppose Lisa chooses to generate random numbers from a calculator. Create a stratified sample by column. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Discrete vs continuous data are two broad categories of numeric variables. These 15 quiz scores are the systematic sample. Position 1 is less than the distance from G to H in Position 2. Finite values have discrete data. A defective counting device can cause a nonsampling error. Data is classified into 4 types. However for practical reasons, in most populations, simple random sampling is done without replacement. No. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. Hint: Data that are discrete often start with the words "the number of.". Ivy's house is at E, 750 feet from the intersection. You sample five gyms. Legal. According to a report, today, at least2.5 quintillion bytes of data are produced per day. Press ENTER two more times for the other 2 random numbers. Every value within a range is included in continuous data. The triangles show the position of the gate in relation to its closed position. 2013. Continuous data are in the form of fractional numbers. Therefore this is discrete data. The data are continuous because 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. A pollster interviews all human resource personnel in five different high tech companies. state whether the data is continous or discrete The durations of Create a systematic sample of 12 quiz scores. This data helps market researchers understand the customers tastes and then design their ideas and strategies accordingly. 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. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. Try this experiment twice. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. 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 easiest method to describe is called a simple random sample. What type of data does this graph show? A variable is said to be continuous if it can take on any value in an interval. Data that can only take on certain values are discrete data. Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. The following graph is the same as the previous graph but the Other/Unknown percent (9.6%) has been included. a. The option "B" is correct i.e. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. The exact distances (in centimeters) between the chairs in a college classroom. A sample should have the same characteristics as the population it is representing. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. 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. The continuous data can be broken down into. The data are discrete because the data can only take on specific values. The data are discrete because the data can only take on specific values. Step 2: Discrete and continuous data. Common problems to be aware of include. Discrete data: When numerical data has values that are countable and specific to a particular category, it is called discrete data. 2013 - 2023 Great Lakes E-Learning Services Pvt. Each student in the following samples is asked how much tuition he or she paid for the Fall semester. Question: State whether the data described below are discrete or continuous, and explain why. Required fields are marked *. and it is subdivided into nominal and ordinal data. The size of a sample (often called the number of observations) is important. The data are discrete because the data can . Just know that you have prepared and worked hard for this. 134.209.154.177 For instance, hair color might be black, dark brown, light brown, blonde, gray, or red. This website is using a security service to protect itself from online attacks. Three cell phone towers form APQR. The data he collects are summarized in the histogram. Therefore this is discrete data. a. O C. The numbers of countries in the world in different years Choose the correct answer below. A discrete variable, on the other hand, can only take on specific values. It is classified into two broad categories: qualitative data and quantitative data. Your answer is correct. A discrete data set because there are a finite number of possible values. Instructions: Use the Random Number Generator to pick samples. The examples you have seen in this book so far have been small. Below are tables comparing the number of part-time and full-time students at De Anza College and Foothill College enrolled for the spring 2010 quarter. These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. 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 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. Probably not. 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. Experts are tested by Chegg as specialists in their subject area. Your IP: Why or why not? In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. 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 histogram is used to display quantitative data: the numbers of credit hours completed. The Data and Story Library, lib.stat.cmu.edu/DASL/Datafiles/USCrime.html (accessed May 1, 2013). Just as there is variation in data, there is variation in samples. Note: randInt(0, 30, 3) will generate 3 random numbers. The term discrete means distinct or separate. The actual process of sampling causes sampling errors. Your instructor will give each group one six-sided die. We are interested in the average amount of money a part-time student spends on books in the fall term. O B. To four decimal places, these numbers are equivalent (0.0999). B. Discrete is data that can take only certain values. Thats why it is also known as Categorical Data. This is important to know when we think about what the data are telling us. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. 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. The second sample is taken using a list of senior citizens who take P.E. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. In the graph, the percentages add to more than 100% because students can be in more than one category. 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. the number of data values is increased), their sample results (the average amount of time a student sleeps) might be closer to the actual population average. Suppose ABC College has 10,000 part-time students (the population). So is the case of statistics too. O A. A. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. Show how you know. Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. Its really normal for you to feel anxious before your exam especially when the subject is statistics. feet, and 210 sq. . 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. C. b. State whether the data described below are discrete or continuous, and explain why. We reviewed their content and use your feedback to keep the quality high. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. 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. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. Besides the chemistry course, some of them are also taking first-term calculus. continuous, and explain why. The colors red, black, black, green, and gray are qualitative data. The data are discrete because the data can take on any value in an interval. 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. Starting with that student, every 50th student is chosen until 75 students are included in the sample. Determine whether the data described below are qualitative or quantitative and explain why: . OD. The data are continuous because the data can take on any value in an interval . feet, 190 sq. the data can only take on specific values . It is classified into two broad categories: qualitative data and quantitative data. The discrete data contain the values that fall under integers or whole numbers. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. The data are the weights of backpacks with books in them. Variation is present in any set of data. Determine whether the given value is from a discrete or continuous data set. 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. Record the number. Each student is chosen using simple random sampling. Press MATH. Data from www.bookofodds.com/Relationsh-the-President. 2003-2023 Chegg Inc. All rights reserved. The number of classes a student missed. Doreen uses systematic sampling and Jung uses cluster sampling. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Work collaboratively to determine the correct data type (quantitative or qualitative). Nominal Data is used to label variables without any order or quantitative value. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. Notice that backpacks carrying three books can have different weights. Work more on basics as they form the basis for many other concepts. Small letters like \(x\) or \(y\) generally are used to represent data values. B. Record the number and the first quiz score. Cloudflare Ray ID: 7a2992ec2e151da5 You will learn why when you study confidence intervals. It is understandable that it must be making you feel nervous right now but your emotions are valid! 1. Random sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling. To four decimal places, these numbers are not equivalent. Both samples are biased. Asking all 10,000 students is an almost impossible task. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. 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. feet. . Quantitative data, on the other hand, is one that contains numerical values and uses a scope. B. The data are discrete because the data can take on any value in an interval. Ducks in a pond are discrete data because the number of ducks is a finite number. The following pie charts have the Other/Unknown category included (since the percentages must add to 100%). It may take any numeric value, within a potential value range of finite or infinite. Show Less. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. These 18 quiz scores are a stratified sample. the data can only take on specific values . Continuous information is information that falls into a continuous series. The data are the colors of backpacks. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p (2012), D is the discrete character data, z is a particular character mapping, and are the parameters of the hOUwie model. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. State whether the data described below are discrete or continuous, and explain why. Click to reveal Continuous data represents information that can be divided into smaller levels. Discrete data. The number of books in a rack is a finite countable number. 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). Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. feet, 160 sq. Data are individual items of information that come from a population or sample. 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. Learn data analytics or software development & get guaranteed* placement opportunities. (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.) Scott Keeter et al., Gauging the Impact of Growing Nonresponse on Estimates from a National RDD Telephone Survey, Public Opinion Quarterly 70 no. Collecting data carelessly can have devastating results. A pie chart cannot be used. The data are discrete because the data can only take on specific values. Many other courses are available online to master your foundational knowledge which may assist you later. A completely random method is used to select 75 students. . The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. Also read: 22 Top Data Science Books Learn Data Science Like an Expert. 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 data are discrete because the data can take on any value in an interval. When you analyze data, it is important to be aware of sampling errors and nonsampling errors. Even if Doreen and Jung used the same sampling method, in all likelihood their samples would be different. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. We might make different choices of what we think is the best graph depending on the data and the context. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. ), Marital status (Single, Widowed, Married), When companies ask for feedback, experience, or satisfaction on a scale of 1 to 10, Letter grades in the exam (A, B, C, D, etc. A large ship is sailing between three small islands. Indicate whether quantitative data are continuous or discrete. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. Have some sleep, its important. The bar graph is used to graphically represent discrete data. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample.