The data are discrete because the data can only take on specific values. Try to identify additional data sets in this example. 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. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. Different types of data are used in research, analysis, statistical analysis, data visualization, and data science. State whether the data described below are discrete or continuous, and explain why. Each random number may only contribute one class member. State whether the data described below are discrete or continuous, and explain why. y's house is at D, 750 feet from the intersection. This variability in samples cannot be stressed enough. A random number generator is used to pick two of those years. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Sample size issues: Samples that are too small may be unreliable. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. If quantitative, state whether it's discrete or continuous. a chemical reaction comma repeated several times Choose the correct Work collaboratively to determine the correct data type (quantitative or qualitative). b. These kinds of data are also known as Numerical data. QUESTIONState whether the data described below are discrete or continuous, and explain why. Your email address will not be published. It helps you in saving time later as you already have some knowledge about algebra. Q: Classify the Following as Discrete and Continuous Data. Step One: Master the Foundational Knowledge. Statistics involves organizing, analyzing, interpreting, and representing data. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. Experts are tested by Chegg as specialists in their subject area. D. The You can specify conditions of storing and accessing cookies in your browser. The exact distances (in centimeters) between the chairs in a college classroom. They spend: $50; $40; $36; $15; $50; $100; $40; $53; $22; $22. interval. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. Save my name, email, and website in this browser for the next time I comment. Show how you know. The data are discrete because the data can only take on specific values. Over time, some continuous data can change. B.The data are discrete because the data can only take on specific values. Discrete. The data are continuous because the data can take on any value in an interval. Also read: 22 Top Data Science Books Learn Data Science Like an Expert. O A. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. C. The data are On your calculator, press Math and arrow over to PRB. Data is classified into 4 types. the number of classes you take per school year. c. According to a report, today, at least2.5 quintillion bytes of data are produced per day. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. 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. 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. We are interested in the average amount of money a part-time student spends on books in the fall term. Many other courses are available online to master your foundational knowledge which may assist you later. By using simple random sampling, select states to be part of the cluster. 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). It may take any numeric value, within a potential value range of finite or infinite. The tables display counts (frequencies) and percentages or proportions (relative frequencies). Confounding: When the effects of multiple factors on a response cannot be separated. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. It is countable. Sometimes percentages add up to be more than 100% (or less than 100%). 26. Ivy's house is at E, 750 feet from the intersection. Doreen uses systematic sampling and Jung uses cluster sampling. b. 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. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. Each undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process. 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. A completely random method is used to select 75 students. Learn data analytics or software development & get guaranteed* placement opportunities. 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. The data are because.continuous the data can take on any value in an interval B. Can I get some help? Dominic Lusinchi, President Landon and the 1936 Literary Digest Poll: Were Automobile and Telephone Owners to Blame? Social Science History 36, no. 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. While working on these data, it is important to know the types of data to process them and get the right results. , i.e. To four decimal places, these numbers are equivalent (0.0999). However, if two or more of you are taking the same data and get very different results, it is time for you and the others to reevaluate your data-taking methods and your accuracy. You will learn why when you study confidence intervals. This is important to know when we think about what the data are telling us. The colors of the houses are white, yellow, white, red, and white. Most statisticians use various methods of random sampling in an attempt to achieve this goal. How to differentiate the obtained results as discrete and continuous data? Data may be classified as qualitative, quantitative continuous, or quantitative discrete. Again, you sample the same five students. The circumferences (in inches) of people's heads Choose the correct answer below. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. Data that takes distinct values and cannot be in decimals is called discrete data. . Otherwise, the variable is nominal. State whether the data described below are discrete or continuous and explain why The amounts of time that different brands' batteries last in a CD player. 1. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Have some sleep, its important. 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. Blood type might be AB+, O-, or B+. Collecting data carelessly can have devastating results. The data are continuous because the data can take on any value in an interval. Frequently Asked Questions, Pew Research Center for the People & the Press, www.people-press.org/methodolwer-your-polls (accessed May 1, 2013). 25. 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 duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. A high school principal polls 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors regarding policy changes for after school activities. . Your answer is correct. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). Continuous information is information that falls into a continuous series. On the other hand, if we count large quantities of any discrete entity. What is the type of sampling in each case? 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. The departments are the clusters. You count discrete data. The data are discrete because the data can take on any value in an interval. ), 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. c. The data are continuous because the data can take on any value in an interval. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. Record these 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. QUESTIONState whether the data described below are discrete or continuous, and explain why. One-third of a number when decreased by 2 equals one-fifth of the nimenbe Find the number. 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. Think about what contributes to making Doreens and Jungs samples different. O A. The continuous data can be broken down into fractions and decimals, i.e. The following graph is the same as the previous graph but the Other/Unknown percent (9.6%) has been included. If Doreen and Jung took larger samples (i.e. Additional Resources Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. 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). Quantitative data may be either discrete or continuous. 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. The two numbers are for two of the columns. Discrete data: When numerical data has values that are countable and specific to a particular category, it is called discrete data. a chemical reaction comma repeated several times Choose the correct To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p O C. The data are continuous because the data can take on any value in an interval. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. The land areas of different countries Choose the correct answer below. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. . 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. The Literary Digest Poll, Virtual Laboratories in Probability and Statistics, Gallup Presidential Election Trial-Heat Trends, 19362008, Gallup Politics. Press ENTER. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. However, generally, we use age as a discrete variable. Quantitative data are the result of counting or measuring attributes of a population. the distance it is from your home to the nearest grocery store. Statistical data about spreading of the epidemic are known in discrete periods of time, for example twenty-four hours. 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 registrar at State University keeps records of the number of credit hours students complete each semester. and it is subdivided into nominal and ordinal data. Q: State whether the data below are discrete or continuous, explain why. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. Record the three quiz scores in column one that correspond to these three numbers. A histogram is used to graphically represent continuous data. Surely, you can get all the study material on Vedantu mobile app- learn live online. OOO O A. 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. Problems with samples: A sample must be representative of the population. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. Points in a graph of the discrete function remain unconnected. 10. So is the case of statistics too. 2013. the type of car you drive. Starting with that student, every 50th student is chosen until 75 students are included in the sample. Nominal Data is used to label variables without any order or quantitative value. Also, the sample represents only those who showed up to the event earlier than the majority. B. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. Gathering information about an entire population often costs too much or is virtually impossible. A bar graph is appropriate to compare the relative size of the categories. 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. Suppose ABC College has 10,000 part-time students (the population). Hair color, blood type, ethnic group, the car a person drives, and the street a person lives on are examples of qualitative data. Tables are a good way of organizing and displaying data. The option "B" is correct i.e. Data is the new oil. Today data is everywhere in every field. B. You sample five houses. You have to be dedicated. Samples that contain different individuals result in different data. The data are discrete because the data can only take on specific values. These data consist of audio, images, symbols, or text. That is, a member of the population may be chosen only once. discrete 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. Data may come from a population or from a sample. Create a cluster sample by picking two of the columns. Compare the fractions 999/10,000 and 999/9,999. Procrastination isnt even the last option if you are preparing for a statistics exam. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. Doreen's sample will be different from Jung's sample. Asking all 10,000 students is an almost impossible task. a. Variation is present in any set of 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. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. Click to reveal Examples of discrete variables are the number of students and age. You sample five gyms. (2012), D is the discrete character data, z is a particular character mapping, and are the parameters of the hOUwie model. When you have a numeric variable, you need to determine whether it is discrete or continuous. 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. What type of data is this? Position 1 is less than the distance from G to H in Position 2. The data are discrete because the data can take on any value in an interval. It is classified into two broad categories: qualitative data and quantitative data. For example, it does not make sense to find an average hair color or blood type. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. Grouped distribution of continuous data tabulation frequencies is performed against a value group. Neither would be wrong, however. Required fields are marked *. A large ship is sailing between three small islands. The safest route is to avoid the closest pair of islands. Collaborative Exercise 1.2. It also could not be used if the percentages added to less than 100%. A pie chart cannot be used. These data are represented mainly by a bar graph, number line, or frequency table. The data are the number of machines in a gym. A. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. 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). The numbers of majors offered by colleges Choose the correct answer below. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. Qualitative data are generally described by words or letters. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. Qualitative data tells about the perception of people. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. Question: State whether the data described below are discrete or continuous, and explain why. You can email the site owner to let them know you were blocked. 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. A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. A. pair starts due east and then turns 50 toward north. Two positions of an open gate are shown. Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). The data are discrete because the data can only take on specific values. Continuous data. OB. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. Larger samples are better, if possible. Systematic sampling is frequently chosen because it is a simple method. Which two towers are closest together. B. Data that can only take on certain values are discrete data. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. 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. And this is the reason why most students find it to be an interesting subject. You are going to use the random number generator to generate different types of samples from the data. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. 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. Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. The gender of a person, i.e., male, female, or others, is qualitative data. 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. The job of the statistician is to see through the variability and draw appropriate conclusions. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. Your email address will not be published. To choose a systematic sample, randomly select a starting point and take every nth piece of data from a listing of the population. Therefore this is discrete data. The numbers of books (three, four, two, and one) are the quantitative discrete data. Ungrouped frequency distribution of discrete data is performed against a single value. A. (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.) You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. You should ask the doubt there and then clear it, analyze it and work on it. Just know that you have prepared and worked hard for this. In today's changing times, pursuing a career in this subject is known to provide some of the most sought professional options. The first 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. State whether the data described below are discrete or continuous, and explain why. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. Create a cluster sample by considering each state as a stratum (group). 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 \(\PageIndex{6}\). Each method has pros and cons. Discrete data is data that can only take certain values, while data that can take any value is continuous data. For this example, suppose Lisa chooses to generate random numbers from a calculator. 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