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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. However for practical reasons, in most populations, simple random sampling is done without replacement. The use of discrete and continuous quantitative variables would be helpful for detecting intervention effects . The data are discrete because the data can only take on specific values. On your calculator, press Math and arrow over to PRB. 10. 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. amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). Work collaboratively to determine the correct data type (quantitative or qualitative). I want to study the topic of Statistics for my college-level exams? Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. 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. For example, suppose you have to do a phone survey. The total number of students in a class is an example of discrete data. O A. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. 1. This data helps a company analyze its business, design its strategies, and help build a successful data-driven decision-making process. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. They spend: $50; $40; $36; $15; $50; $100; $40; $53; $22; $22. 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. It is classified into two broad categories: qualitative data and quantitative data. The sample probably consists more of people who prefer music because it is a concert event. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? Divide your college faculty by department. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. A high school principal polls 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors regarding policy changes for after school activities. If quantitative, state whether it's discrete or continuous. Your IP: If there is a repeat press ENTER again. Press ENTER 15 times and record the numbers. What is the type of sampling in each case? 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. Work collaboratively to determine the correct data type (quantitative or qualitative). according to measurement accuracy, it can be significantly subdivided into smaller sections. 26. The discrete data are countable and have finite values; their subdivision is not possible. D. The The numbers of programs installed on various computers ANSWERA.) Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. The amount of money they spend on books is probably much less than the average parttime student. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. and it is subdivided into nominal and ordinal data. Do you think that this sample is representative of (or is characteristic of) the entire 20,000 listener population? They may be related (correlated) because of their relationship through a different variable. Random sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of These data dont have any meaningful order; their values are distributed into distinct categories. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. Press ENTER and record that number. This site is using cookies under cookie policy . 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. 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. Surveys mailed to households and then returned may be very biased (they may favor a certain group). Look at Figures \(\PageIndex{3}\) and \(\PageIndex{4}\) and determine which graph (pie or bar) you think displays the comparisons better. air. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. A. The result of the rolling is a dice is 1, 2, 3, 4, 5, 6, 7, and 8. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. 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. 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? a. Lisa reads two-digit groups until she has chosen three class members (that is, she reads 0.94360 as the groups 94, 43, 36, 60). So, you will get the result too! The data he collects are summarized in the histogram. This is important to know when we think about what the data are telling us. Pick three quiz scores randomly from each column. There are a number of options if you go for the statistics degree. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. The station wants to know if its audience would prefer more music or more talk shows. O A. B. Your answer is correct. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. O C. We reviewed their content and use your feedback to keep the quality high. 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. Ducks in a pond are discrete data because the number of ducks is a finite number. Over time, some continuous data can change. O A. No. There are no strict rules concerning which graphs to use. feet, 180 sq. It is from a continuousdata set because 218+ Consultants 4.7 Satisfaction rate This is completely natural. The data are continuous because the data can take on any value in an interval . A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. b. Step One: Master the Foundational Knowledge. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p A. Show how you know. It might sound a bit weird but do not burden yourself with new topics before the exam. Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. 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. 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. The bar graph is used to graphically represent discrete data. we conducted an additional simulated control chart analysis to determine whether detection of this normal . Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. Question: CS State whether the data described below are discrete or continuous, and explain why. The quiz scores (20 of them) in these 2 columns are the cluster sample. These 18 quiz scores are a stratified sample. You sample five students. 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. QUESTIONState whether the data described below are discrete or continuous, and explain why. Determine whether the given value is from a discrete or continuous data set. This pie chart shows the students in each year, which is qualitative data. For these samples, each member of the population did not have an equally likely chance of being chosen. Gathering information about an entire population often costs too much or is virtually impossible. The volume of cola in a can is 11.8 oz. Divide into groups of two, three, or four. The data are discrete because the data can only take on specific 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. A continuous data set because there are infinitely many possible values and those values cannot be counted. Statistical data needs to be critically analyzed, not simply accepted. The points are associated with an unbroken line. Neither would be wrong, however. a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. Causality: A relationship between two variables does not mean that one causes the other to occur. Nominal data.Ordinal data.Discrete data.Continuous data. Biased samples that are not representative of the population give results that are inaccurate and not valid. These 15 quiz scores are the systematic sample. 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. Many other courses are available online to master your foundational knowledge which may assist you later. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. A. The Literary Digest Poll, Virtual Laboratories in Probability and Statistics, Gallup Presidential Election Trial-Heat Trends, 19362008, Gallup Politics. It helps you in saving time later as you already have some knowledge about algebra. Nominal and ordinal data can act as both discrete and continuous. It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. A pie chart cannot be used. Continuous data is the data that can be of any value. Continuous data: When numerical data has . Instead of that, just revise what youve already done. You should ask the doubt there and then clear it, analyze it and work on it. Data that can only take on certain values are discrete data. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Performance & security by Cloudflare. For accuracy, carry the decimal answers to four decimal places. The data are discrete because the data can only take on specific values. Factors not related to the sampling process cause nonsampling errors. Press 5:randInt( and enter 1, 60). . Click to reveal Try this experiment twice. Its really normal for you to feel anxious before your exam especially when the subject is statistics. A type of sampling that is non-random is convenience sampling. According to a report, today, at least 2.5 quintillion bytes of data are produced per day. Our choice also depends on what we are using the data for. A histogram is used to graphically represent continuous data. O C. These types of data are sorted by category, not by number. Data that can only take on certain values are discrete data. Indicate whether quantitative data are continuous or discrete. Starting with that student, every 50th student is chosen until 75 students are included in the sample. In other words, each sample of the same size has an equal chance of being selected. This data is so important for us that it becomes important to handle and store it properly, without any error. Legal. You count discrete data. The percent columns make comparing the same categories in the colleges easier. Collecting data carelessly can have devastating results. All the members from these clusters are in the cluster sample. If you feel tired at the moment, even that too is fine. C. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? The exact lengths (in kilometers) of the ocean coastlines of different countries. Data from www.bookofodds.com/Relationsh-the-President. As a rule, the larger the sample, the smaller the sampling error. The color of hair can be considered nominal data, as one color cant be compared with another color. In some situations, having small samples is unavoidable and can still be used to draw conclusions. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. These data are represented mainly by a bar graph, number line, or frequency table. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. Cloudflare Ray ID: 7a2992ec2e151da5 This website is using a security service to protect itself from online attacks. Create a cluster sample by picking two of the columns. You sample five houses. You measure continuous data. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. The data are continuous because Those 100 students are the sample. Think about what contributes to making Doreens and Jungs samples different. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. State whether the data described below are discrete or continuous, and explain why. Show Less. You can go for many of the career options if you pursue stats, you can get detailed information about all of the above-mentioned choices and also many more careers on the online website of Vedantu which tells the full forms and also the detailed explanation of each one of them. Which experiment had the correct results? Asking all 10,000 students is an almost impossible task. If the survey is done well, the answer is yes. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. When a car is randomly selected, it is found to have 3 wipers. B.The data are discrete because the data can only take on specific values. 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. You have to be dedicated. Asking all 20,000 listeners is an almost impossible task. Statistical data about spreading of the epidemic are known in discrete periods of time, for example twenty-four hours. 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. Discrete data is data that can only take certain values, while data that can take any value is continuous data. The continuous variable can take any value within a range. data are discrete because the data can take on any value in an Different types of data are used in research, analysis, statistical analysis, data visualization, and data science. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. - Example, Formula, Solved Examples, and FAQs, Line Graphs - Definition, Solved Examples and Practice Problems, Cauchys Mean Value Theorem: Introduction, History and Solved Examples. Most statisticians use various methods of random sampling in an attempt to achieve this goal. It is easy in many cases, discrete data is preceded by the number of, which makes the differentiation of results easier. According to a report, today, at least2.5 quintillion bytes of data are produced per day. O C. The data are continuous because the data can take on any value in an interval. Learn data analytics or software development & get guaranteed* placement opportunities. Q: Classify the Following as Discrete and Continuous Data. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. Just know that you have prepared and worked hard for this. 134.209.154.177 It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. You can email the site owner to let them know you were blocked. To four decimal places, these numbers are not equivalent. Note: randInt(0, 30, 3) will generate 3 random numbers. For example, if you randomly sample four departments from your college population, the four departments make up the cluster sample. This variability in samples cannot be stressed enough. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. Create a cluster sample by considering each state as a stratum (group). categorical, quantitative discrete or quantitative continuous. In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. Over time, some continuous data can change. State whether the data described below are discrete or continuous, and explain why. 25. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. All you can do right now is to just take a deep breath and believe in yourself! Question: State whether the data described below are discrete or continuous, and explain why. The numbers of hotels in cities Choose the correct answer below. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. 4. Is the study impartial? Roll one fair die (six-sided) 20 times. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. However, generally, we use age as a discrete variable. Record the number. 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. B. You may wrap around (go back to the beginning). The prison populations of different countries ha Choose the correct answer below. OB. c . Create a simple random sample of 15 quiz scores. We may prefer not to think of 10,00,100 and 10,00,102 as crucially different values, but instead as nearby points on an approximate continuum. Continuous data represents information that can be divided into smaller levels. Surely, you can get all the study material on Vedantu mobile app- learn live online. The data are discrete because the data can take on any value in an interval. 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. If all the money in the 555, find the number of 10 coins in it 12. 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. 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. Books for these classes tend to be expensive. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. 8. Convenience sampling involves using results that are readily available. Two graphs that are used to display qualitative data are pie charts and bar graphs. What type of data is this? Also read: 22 Top Data Science Books Learn Data Science Like an Expert. 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Qualitative data tells about the perception of people. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. The data are because.continuous the data can take on any value in an interval B. Data are individual items of information that come from a population or sample. Compare the fractions 999/10,000 and 999/9,999. B. It only contains finite values, the subdivision of which is not possible. State whether the data described below are discrete or continuous, and explain why. The list of fruit is nominal. We all know that time is very important, it doesnt wait for anyone. Instructions: Use the Random Number Generator to pick samples. State whether each situation is categorical or quantitative. Indicate whether quantitative data are continuous or discrete. 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. state whether the data is continous or discrete The durations of a chemical reaction comma repeated several times Choose the correct answer below. Data that can take a decimal value and can vary across a range is called . Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. For example, you can not have a natural order for apple, orange, and banana. The numbers of hotels in cities Choose the correct answer below. 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. Also, the sample represents only those who showed up to the event earlier than the majority. B. Now, suppose we take a third sample. To find the average GPA of all students in a university, use all honor students at the university as the sample. A sample should have the same characteristics as the population it is representing. Data may come from a population or from a sample. These data take on only certain numerical values. The data are continuous because the data can take 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). Many of these students are taking first term calculus in addition to the organic chemistry class. B. The size of a sample (often called the number of observations) is important. So is the case of statistics too. The first B. answer below. The first sample probably consists of science-oriented students. 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. State whether the data described below are discrete or continuous, and explain why. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. The data are the number of books students carry in their backpacks. Quantitative data are the result of counting or measuring attributes of a population. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. In this article, we have discussed the data types and their differences. c. The data are continuous because the data can take on any value in an interval. Your email address will not be published. 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. First, we use convenience sampling and survey ten students from a first term organic chemistry class. The colors red, black, black, green, and gray are qualitative data. Press MATH. Determine whether the data described below are qualitative or quantitative and explain why: . Which is the safest route for the ship? The colors of the houses are white, yellow, white, red, and white. 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 \(\PageIndex{6}\). A continuous data set because there are infinitely mamy possible values and those values cannot be counted. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. It is better for the person conducting the survey to select the sample respondents.