As a class, determine whether or not the following samples are representative. QUESTIONState whether the data described below are discrete or continuous, and explain why. These data take on only certain numerical values. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. The number of animals in a zoo is continuous data because the number of animals varies yearly depending on the reproduction of new animals or the arrival of new animals. 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. State whether the data described below are discrete or continuous, and These values do not have to be complete numbers, but they are values that are fixed. We all know that time is very important, it doesnt wait for anyone. Discrete vs continuous data are two broad categories of numeric variables. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. The number of classes a student missed. OD. State whether each situation is categorical or quantitative. State whether the data described below are discrete or continuous, and explain why. 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. These data are represented mainly by a bar graph, number line, or frequency table. Determine whether the given value is from a discrete or continuous data set. The data are discrete because the data can only take on specific values. The data will be quantitative, say 2+3 (=5) apples. A discrete variable, on the other hand, can only take on specific values. Therefore this is discrete data. These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. Non-response or refusal of subject to participate: The collected responses may no longer be representative of the population. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. The amount a person grew (in height) in a year. For the purpose of analysis, data are presented as the facts and figures collected together. You should ask the doubt there and then clear it, analyze it and work on it. Most statisticians use various methods of random sampling in an attempt to achieve this goal. If Doreen and Jung took larger samples (i.e. feet, 190 sq. Save my name, email, and website in this browser for the next time I comment. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). The data are discrete because the data can only take on specific values. Press ENTER two more times for the other 2 random numbers. 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). 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. 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. Record the number and the first quiz score. O A. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. Nominal data.Ordinal data.Discrete data.Continuous data. It helps you in saving time later as you already have some knowledge about algebra. B. 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. The data are continuous because the data can only take on specific values. Every value within a range is included in continuous data. For the purpose of analysis, data are presented as the facts and figures collected together. Question: State whether the data described below are discrete or continuous, and explain why. Step 2: Discrete and continuous data. Your answer is correct. and the Michigan State University Institutional Animal Care and Use Committee prior to the start of data collection. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. The safest route is to avoid the closest pair of islands. When you have a numeric variable, you need to determine whether it is discrete or continuous. Notice that the frequencies do not add up to the total number of students. This is completely natural. 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 sample should have the same characteristics as the population it is representing. . Cloudflare Ray ID: 7a2992ec2e151da5 Q: State whether the data below are discrete or continuous, explain why. It can be the version of an android phone, the height of a person, the length of an object, etc. 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. Press 5:randInt( and enter 1,6). Question: State whether the data described below are discrete or continuous, and explain why. Arrow over to PRB. State whether the data described below are discrete or continuous, and explain why. To determine the average cost of a two-day stay in a hospital in Massachusetts, survey 100 hospitals across the state using simple random sampling. A. Step 2: Discrete and continuous data. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. 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. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. 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. 10. Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. The points are associated with an unbroken line. State whether the data described below are discrete or continuous, and explain why. on any value in an interval . In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Often, people with strong positive or negative opinions may answer surveys, which can affect the results. O A. 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. A discrete data set because there are a finite number of possible values. Divide 84 a money box contains 1 coins, 2 coins, 5 coins and 10 coins 10 coins is four times the number of 1 coins. The data are continuous because the data can take on any value in an interval. State whether the data described below are discrete or continuous, and Systematic sampling is frequently chosen because it is a simple method. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. 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. As you become accustomed to sampling, the variability will begin to seem natural. 2013 - 2023 Great Lakes E-Learning Services Pvt. Discrete and Continuous Data - Definitions, Examples - VEDANTU For this example, suppose Lisa chooses to generate random numbers from a calculator. We are interested in the average amount of money a part-time student spends on books in the fall term. Asking all 20,000 listeners is an almost impossible task. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. A continuous data set because there are infinitely many possible values and those values cannot be counted. To four decimal places, these numbers are equivalent (0.0999). Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. 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). It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. Is the study impartial? The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. Just as there is variation in data, there is variation in samples. 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. Continuous data: When numerical data has . 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. The discrete data contain the values that fall under integers or whole numbers. If all the money in the 555, find the number of 10 coins in it 12. According to a report, today, at least2.5 quintillion bytes of data are produced per day. The size of a sample (often called the number of observations) is important. OB. Performance & security by Cloudflare. Press 5:randInt( and enter 1, 60). When properly selected, larger samples model the population more closely than smaller samples. Doreen's sample will be different from Jung's sample. It includes only those values which are separate and can only be counted in whole numbers or integers, which means that the data can not be split into fractions or decimals. The data are the number of books students carry in their backpacks. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. 1.2: Variables and Types of Data - Statistics LibreTexts It is classified into two broad categories: qualitative data and quantitative data. Think about what contributes to making Doreens and Jungs samples different. answer below. Weights are quantitative continuous data because weights are measured. Additional Resources It is countable. feet, 180 sq. a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. Most of these students are, more than likely, paying more than the average part-time student for their books. You sample the same five students. The numbers of hotels in cities Choose the correct answer below. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. State whether the data described below are discrete or continuous, and explain why. Convenience sampling involves using results that are readily available. The distance from G to H in There are a number of options if you go for the statistics degree. 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. Instead of that, just revise what youve already done. Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). and it is subdivided into nominal and ordinal data. Sample size issues: Samples that are too small may be unreliable. What can you conclude about the angles opposite these sides? a. It only contains finite values, the subdivision of which is not possible. The data are discrete because the data can take on any value in an interval. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. A bar graph is appropriate to compare the relative size of the categories. 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. Ordinal data is qualitative data for which their values have some kind of relative position. pair starts due east and then turns 50 toward north. How to differentiate the obtained results as discrete and continuous data? Why or why not? Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. 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. There are several different methods of random sampling. 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. Over time, some continuous data can change. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. Determine whether the data described below are qualitative or quantitative and explain why: . The data are discrete because the data can only take on specific values. Indicate whether quantitative data are continuous or discrete. If she needed to, Lisa could have generated more random numbers. B. Show how you know. For instance, hair color might be black, dark brown, light brown, blonde, gray, or red. 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. You are going to use the random number generator to generate different types of samples from the data. Which two towers are closest together. Solved CS State whether the data described below are - Chegg You can specify conditions of storing and accessing cookies in your browser. . The data are discrete because the data can take on any value in an interval. The second pair starts due west and then turns 40 toward south. Each student is chosen using simple random sampling. 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. Just know that you have prepared and worked hard for this. 2. The numbers of countries in the world in different years Choose the correct answer below. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. Qualitative data are generally described by words or letters. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? Section 1-2 Practice Problems Flashcards | Quizlet Otherwise, the variable is nominal. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. Try this experiment twice. A large ship is sailing between three small islands. 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. The weights (in tons) of the trees in a forestANSWERA.) a. While working on these data, it is important to know the types of data to process them and get the right results. Sampling data should be done very carefully. Nominal Data is used to label variables without any order or quantitative value. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. 5. Ivy's house is at E, 750 feet from the intersection. Indicate whether quantitative data are continuous or discrete. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p By using simple random sampling, select states to be part of the cluster. The exact lengths (in kilometers) of the ocean coastlines of different countries. Displaying percentages along with the numbers is often helpful, but it is particularly important when comparing sets of data that do not have the same totals, such as the total enrollments for both colleges in this example. state whether the data is continous or discrete The durations of B. 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 described below are discrete or? continuous, and 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. When a sampling bias happens, there can be incorrect conclusions drawn about the population that is being studied. You can email the site owner to let them know you were blocked. Many other courses are available online to master your foundational knowledge which may assist you later. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. y's house is at D, 750 feet from the intersection. B.The data are discrete because the data can only take on specific values. The sample probably consists more of people who prefer music because it is a concert event. The number of books in a rack is a finite countable number. C. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. A sample that is not representative of the population is biased. 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. For example, you can not have a natural order for apple, orange, and banana. Data that can only take on certain values are discrete data. Doreen and Jung each take samples of 500 students. The data are continuous because the data can take on any value in an interval. Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. It would be great if you already have a bit of knowledge about a course before opting for it. State whether the data described below are discrete or continuous, and explain why. Your IP: Again, you sample the same five students.
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