state whether the data is discrete or continuous

Have some sleep, its important. 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. Thats why it is also known as Categorical Data. Points in a graph of the discrete function remain unconnected. Your answer is correct. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. Surveys mailed to households and then returned may be very biased (they may favor a certain group). Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. It would be great if you already have a bit of knowledge about a course before opting for it. You sample five gyms. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. The numbers of majors offered by colleges Choose the correct answer below. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. Do you think that this sample is representative of (or is characteristic of) the entire 20,000 listener population? Q: State whether the data below are discrete or continuous, explain why. Quick Check Introduction to Data Science. The percent columns make comparing the same categories in the colleges easier. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Both samples are biased. O A. Use the column numbers: one through six. We provide you year-long structured coaching classes for CBSE and ICSE Board & JEE and NEET entrance exam preparation at affordable tuition fees, with an exclusive session for clearing doubts, ensuring that neither you nor the topics remain unattended. One gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines. To find the average GPA of all students in a university, use all honor students at the university as the sample. - Example, Formula, Solved Examples, and FAQs, Line Graphs - Definition, Solved Examples and Practice Problems, Cauchys Mean Value Theorem: Introduction, History and Solved Examples. CS State whether the data described below are discrete or continuous, and explain why. Press ENTER. Record the quiz scores that correspond to these numbers. Is the study impartial? A discrete variable, on the other hand, can only take on specific values. The volume of cola in a can is 11.8 oz. Can we have both discrete data and continuous data from the same experiment? If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? Ltd. All rights reserved. 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 number of classes you take per school year. Cloudflare Ray ID: 7a2992ec2e151da5 The data are continuous because Be aware that many large samples are biased. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. 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. the data can only take on specific values . The option "B" is correct i.e. For any particular sample of 1,000, if you are sampling with replacement. You must choose 400 names for the sample. Over time, some continuous data can change. 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. For example, call-in surveys are invariably biased, because people choose to respond or not. 4 Types of Data - Nominal, Ordinal, Discrete, Continuous Convenience sampling involves using results that are readily available. 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. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. Suppose ABC College has 10,000 part-time students (the population). y's house is at D, 750 feet from the intersection. No. according to measurement accuracy, it can be significantly subdivided into smaller sections. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. Gathering information about an entire population often costs too much or is virtually impossible. This section will describe a few of the most common methods. Sample size issues: Samples that are too small may be unreliable. State whether the data described below are discrete or continuous, and Evaluate it on its merits and the work done. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. Arrow over to PRB. A bar graph is appropriate to compare the relative size of the categories. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. Data that can only take on certain values are discrete data. This website is using a security service to protect itself from online attacks. The total number of students in a class is an example of discrete data. c . c. The data are continuous because the data can take on any value in an interval. Continuous data represents information that can be divided into smaller levels. Collaborative Exercise 1.2. Solution: - Data : The capacities of different hotels. pair starts due east and then turns 50 toward north. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? On the other hand, if we count large quantities of any discrete entity. Probably not. Determine whether the value is from a discrete or continuous data set The data are the number of books students carry in their backpacks. 2013 - 2023 Great Lakes E-Learning Services Pvt. One-third of a number when decreased by 2 equals one-fifth of the nimenbe Find the number. Over time, some continuous data can change. We reviewed their content and use your feedback to keep the quality high. All members of the four departments with those numbers are the cluster sample. Starting with that student, every 50th student is chosen until 75 students are included in the sample. Statistics involves organizing, analyzing, interpreting, and representing data. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. 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. 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. By using simple random sampling, select states to be part of the cluster. Show More. Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. Instructions: Use the Random Number Generator to pick samples. There are distinct or different values in discrete data. data are discrete because the data can take on any value in an Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. Required fields are marked *. That is, a member of the population may be chosen only once. The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. O B. The safest route is to avoid the closest pair of islands. A type of sampling that is non-random is convenience sampling. If she needed to, Lisa could have generated more random numbers. A. answer below. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. This site is using cookies under cookie policy . The data are discrete because the data can only take on specific values. O A. If all the money in the 555, find the number of 10 coins in it 12. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Making a schedule/timetable or studying together with your peers may help you in focusing and keep you active. The numbers of hotels in cities Choose the correct answer below. These 15 quiz scores are the systematic sample. You may wrap around (go back to the beginning). The numbers of programs installed on various computers ANSWERA.) What is the main difference between discrete and continuous data? These data consist of audio, images, symbols, or text. 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. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. True random sampling is done with replacement. 2003-2023 Chegg Inc. All rights reserved. The exact lengths (in kilometers) of the ocean coastlines of different countries. State whether the data described below are discrete or continuous, and explain why. Books for these classes tend to be expensive. There are a number of options if you go for the statistics degree. Discrete Data Examples: The number of students in a class, the number of chocolates in a bag, the number of strings on the guitar, the number of fishes in the aquarium, etc. Press ENTER. State whether the data described below are discrete or continuous, and Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. The ordinal data only shows the sequences and cannot use for statistical analysis. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. A. Hint: Data that are discrete often start with the words "the number of.". Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. Record the 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. State whether the data described below are discrete or continuous, and explain why. Determine whether the data are from discrete data or continuous data set. The land areas of different countries Choose the correct answer below. State whether the data described below are discrete - Course Hero It is easy in many cases, discrete data is preceded by the number of, which makes the differentiation of results easier. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. Data is classified into 4 types. Is Age a Discrete or Continuous Variable? - Statology Your instructor will give each group one six-sided die. feet, 180 sq. QUESTIONState whether the data described below are discrete or continuous, and explain why. The bar graph is used to graphically represent discrete data. A sample should have the same characteristics as the population it is representing. Legal. . They both did. When you have a numeric variable, you need to determine whether it is discrete or continuous. Our choice also depends on what we are using the data for. 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. b. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. The points are associated with an unbroken line. The distance from G to H in A pie chart cannot be used. Performance & security by Cloudflare. The table displays Ethnicity of Students but is missing the "Other/Unknown" category. State whether the data described below are discrete or continuous, and explain why. The station wants to know if its audience would prefer more music or more talk shows. Why or why not? Quantitative data, on the other hand, is one that contains numerical values and uses a scope. The data are discrete because the data can only take on specific values. Doreen uses systematic sampling and Jung uses cluster sampling. The following pie charts have the Other/Unknown category included (since the percentages must add to 100%). Each random number may only contribute one class member. 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. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. the data can only take on specific values . 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. The data are continuous because Number of bacteria in a petri dish is 12,120. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. A. Statistical data needs to be critically analyzed, not simply accepted. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. As a rule, the larger the sample, the smaller the sampling error. Q: Classify the Following as Discrete and Continuous Data. A soccer coach selects six players from a group of boys aged eight to ten, seven players from a group of boys aged 11 to 12, and three players from a group of boys aged 13 to 14 to form a recreational soccer team. Quantitative data can be used for statistical manipulation. O A. 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"source[1]-stats-705", "program:openstax", "licenseversion:40", "source@https://openstax.org/details/books/introductory-statistics" ], https://stats.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fstats.libretexts.org%2FCourses%2FLas_Positas_College%2FMath_40%253A_Statistics_and_Probability%2F01%253A_The_Nature_of_Statistics%2F1.02%253A_Variables_and_Types_of_Data, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), of Students at De Anza College Fall Term 2007 (Census Day), 1.1: Descriptive and Inferential Statistics, Percentages That Add to More (or Less) Than 100%, http://www.well-beingindex.com/default.asp, http://www.well-beingindex.com/methodology.asp, http://www.gallup.com/poll/146822/gaquestions.aspx, http://www.math.uah.edu/stat/data/LiteraryDigest.html, http://www.gallup.com/poll/110548/ga9362004.aspx#4, http://de.lbcc.edu/reports/2010-11/fhts.html#focus, http://poq.oxfordjournals.org/content/70/5/759.full, source@https://openstax.org/details/books/introductory-statistics, status page at https://status.libretexts.org, Students who intend to transfer to a 4-year educational institution. Many of these students are taking first term calculus in addition to the organic chemistry class. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. The discrete data contain the values that fall under integers or whole numbers. Show how you know. The colors red, black, black, green, and gray are qualitative data. 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. The data will be quantitative, say 2+3 (=5) apples. Ra The circumferences (in inches) of people's heads Choose the correct answer below. These data dont have any meaningful order; their values are distributed into distinct categories. Then survey every U.S. congressman in the cluster. Random sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling. The data are discrete because the data can take on any value in an interval. Besides the chemistry course, some of them are also taking first-term calculus. For the purpose of analysis, data are presented as the facts and figures collected together. The data he collects are summarized in the histogram. Explain your reasoning. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. 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). You'll get a detailed solution from a subject matter expert that helps you learn core concepts. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p Larger samples are better, if possible. a chemical reaction comma repeated several times Choose the correct A. Press ENTER two more times for the other 2 random numbers. In today's changing times, pursuing a career in this subject is known to provide some of the most sought professional options. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. 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. . This data helps market researchers understand the customers tastes and then design their ideas and strategies accordingly. The data are discrete because the data can take on any value in an interval. Most samples are taken from large populations and the sample tends to be small in comparison to the population. . Step 2: Discrete and continuous data. In reality, a sample will never be exactly representative of the population so there will always be some sampling error. 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. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. Quantitative data may be either discrete or continuous. The job of the statistician is to see through the variability and draw appropriate conclusions. c. Continuous data are in the form of fractional numbers. The data are the colors of backpacks. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. Try this experiment twice. 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. 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. Otherwise, the variable is nominal. Two students carry three books, one student carries four books, one student carries two books, and one student carries one book. It is not possible to measure qualitative data in terms of. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. You will learn why when you study confidence intervals. Continuous data: When numerical data has . Your email address will not be published. Your IP: Problems with samples: A sample must be representative of the population. Solved State whether the data described below are discrete - Chegg a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. But still, their samples would be, in all likelihood, different from each other. In the graph, the percentages add to more than 100% because students can be in more than one category. Which two towers are closest together. O C. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. When a car is randomly selected, it is found to have 3 wipers. Systematic sampling is frequently chosen because it is a simple method. A random number generator is used to pick two of those years. Dominic Lusinchi, President Landon and the 1936 Literary Digest Poll: Were Automobile and Telephone Owners to Blame? Social Science History 36, no. The numbers of hotels in cities Choose the correct answer below. 13. State whether the data described below are discrete or? Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of The data are continuous because the data can only take on specific values. Common problems to be aware of include. All data that are the result of measuring are quantitative continuous data assuming that we can measure accurately. 2003-2023 Chegg Inc. All rights reserved. Data are individual items of information that come from a population or sample. The station uses convenience sampling and surveys the first 200 people they meet at one of the stations music concert events. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. 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. We all know that time is very important, it doesnt wait for anyone. The data are because.continuous the data can take on any value in an interval B. Continuous information is information that falls into a continuous series. The type of data that has clear spaces between values is discrete data. Surely, you can get all the study material on Vedantu mobile app- learn live online.

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state whether the data is discrete or continuous