For these samples, each member of the population did not have an equally likely chance of being chosen. State whether the data described below are discrete or continuous, and explain why. These data consist of audio, images, symbols, or text. Collaborative Exercise 1.2. on any value in an interval . . Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. Nominal Data is used to label variables without any order or quantitative value. The number of books in a rack is a finite countable number. c . Two graphs that are used to display qualitative data are pie charts and bar graphs. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. A pie chart cannot be used. First, we use convenience sampling and survey ten students from a first term organic chemistry class. (a) Is the data discrete or continuous? Why? (b) Prepare a freq | Filo The volume of cola in a can is 11.8 oz. However, students shall understand that it is important for them to recognize their interests and based on that, select the best career path possible. A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. Legal. Its really normal for you to feel anxious before your exam especially when the subject is statistics. The use of discrete and continuous quantitative variables would be helpful for detecting intervention effects . 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. Most statisticians use various methods of random sampling in an attempt to achieve this goal. D. The The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. It is better for the person conducting the survey to select the sample respondents. Create a simple random sample of 15 quiz scores. What type of data is this? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. B. A discrete variable, on the other hand, can only take on specific values. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. Data is the new oil. Today data is everywhere in every field. B. The size of a sample (often called the number of observations) is important. Log on to our website and explore courses delivered by industry experts. O A. continuous, and explain why. The percent columns make comparing the same categories in the colleges easier. The easiest method to describe is called a simple random sample. Do not automatically assume that the study is good, but do not automatically assume the study is bad either. For example, it does not make sense to find an average hair color or blood type. 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. It only contains finite values, the subdivision of which is not possible. There are a number of options if you go for the statistics degree. State whether the data described below are discrete or? continuous, and 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. Over time, some continuous data can change. They may be related (correlated) because of their relationship through a different variable. Ungrouped frequency distribution of discrete data is performed against a single value. Each method has pros and cons. 2013. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. 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. Causality: A relationship between two variables does not mean that one causes the other to occur. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. the number of data values is increased), their sample results (the average amount of time a student sleeps) might be closer to the actual population average. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. Sometimes percentages add up to be more than 100% (or less than 100%). The sample probably doesnt represent the entire fan base and is probably biased towards people who would prefer music. We need to evaluate the statistical studies we read about critically and analyze them before accepting the results of the studies. Quantitative data are the result of counting or measuring attributes of a population. Question: 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. You are going to use the random number generator to generate different types of samples from the data. Your answer is correct. Doreen uses systematic sampling and Jung uses cluster sampling. Therefore, adjustment of the differential equations system under such data . Additional Resources Just as there is variation in data, there is variation in samples. Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. Discrete. In other words, each sample of the same size has an equal chance of being selected. Starting with that student, every 50th student is chosen until 75 students are included in the sample. Divide your college faculty by department. . By using simple random sampling, select states to be part of the cluster. State whether the data described below are discrete or? The discrete data are countable and have finite values; their subdivision is not possible. Neither would be wrong, however. While working on these data, it is important to know the types of data to process them and get the right results. Step 2: Discrete and continuous data. A random number generator is used to pick two of those years. Statistics is a quite tough subject but for those who know how to use their mind, its the best one for them as it involves more practical knowledge and conceptual learning. These data can be represented on a wide variety of graphs and charts, such as bar graphs, histograms, scatter plots, boxplots, pie charts, line graphs, etc. The exact lengths (in kilometers) of the ocean coastlines of different countries. 13. Indicate whether quantitative data are continuous or discrete. It would be great if you already have a bit of knowledge about a course before opting for it. Ltd. All rights reserved. A sample that is not representative of the population is biased. 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. the distance it is from your home to the nearest grocery store. B. The Data and Story Library, lib.stat.cmu.edu/DASL/Datafiles/USCrime.html (accessed May 1, 2013). Intraobserver repeatability for a standardized protocol to quantify 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. Ivy's house is at E, 750 feet from the intersection. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. You must choose 400 names for the sample. 4. They both did. Show how you know. The numbers of hotels in cities Choose the correct answer below. These kinds of data are also known as Numerical data. 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. We choose ten different part-time students from the disciplines of chemistry, math, English, psychology, sociology, history, nursing, physical education, art, and early childhood development. State whether the data described below are discrete or continuous, and It is easy in many cases, discrete data is preceded by the number of, which makes the differentiation of results easier. Qualitative or Categorical Data is data that cant be measured or counted in the form of numbers. According to a report, today, at least2.5 quintillion bytes of data are produced per day. The exact lengths (in kilometers) of the ocean coastlines of different countries. Again, you sample the same five students. Asking all 20,000 listeners is an almost impossible task. Can we have both discrete data and continuous data from the same experiment? Even if Doreen and Jung used the same sampling method, in all likelihood their samples would be different. It answers the questions like how much, how many, and how often. For example, the price of a phone, the computers ram, the height or weight of a person, etc., falls under quantitative data. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Two positions of an open gate are shown. . Section 1-2 Practice Problems Flashcards | Quizlet It is countable. Then survey every U.S. congressman in the cluster. A large ship is sailing between three small islands. Answered: State whether the data described below | bartleby A type of sampling that is non-random is convenience sampling. O C. Press ENTER. Determine whether the value is from a discrete or continuous data set A high school principal polls 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors regarding policy changes for after school activities. Nominal and ordinal data can act as both discrete and continuous. How to differentiate the obtained results as discrete and continuous data? The table displays Ethnicity of Students but is missing the "Other/Unknown" category. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. These data take on only certain numerical values. ), 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. Continuous data. 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. stratified; b. systematic; c. simple random; d. cluster; e. convenience. The data are the areas of lawns in square feet. The safest route is to avoid the closest pair of islands. Systematic sampling is frequently chosen because it is a simple method. 25. Many other courses are available online to master your foundational knowledge which may assist you later. This website is using a security service to protect itself from online attacks. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. 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. Making a schedule/timetable or studying together with your peers may help you in focusing and keep you active. You can get study material, solved and unsolved questions, and also quizzes which will help you test your knowledge. a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. Scott Keeter et al., Gauging the Impact of Growing Nonresponse on Estimates from a National RDD Telephone Survey, Public Opinion Quarterly 70 no. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. data are discrete because the data can take on any value in an State whether the data described below are discrete or continuous, and explain why. Notice that the frequencies do not add up to the total number of students. O C. OOO O A. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. As a class, determine whether or not the following samples are representative. 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. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. Step 2: Discrete and continuous data. Record the number. The data are continuous because the data can take 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 data are continuous because the data can only take on specific values. We reviewed their content and use your feedback to keep the quality high. The data are discrete because the data can only take on specific values. It also could not be used if the percentages added to less than 100%. Data that takes distinct values and cannot be in decimals is called discrete data. CS State whether the data described below are discrete or continuous, and explain why. Work collaboratively to determine the correct data type (quantitative or qualitative). The data are because.continuous the data can take on any value in an interval B. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. The data are continuous because the data can take on any value in an interval. Amount of money, pulse rate, weight, number of people living in your town, and number of students who take statistics are examples of quantitative data. b. Roll one fair die (six-sided) 20 times. The data are the colors of houses. Instead, we use a sample of the population. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. Discrete data is data that can only take certain values, while data that can take any value is continuous data. It might sound a bit weird but do not burden yourself with new topics before the exam. Blood type might be AB+, O-, or B+. If there is a repeat press ENTER again. How to Calculate the Percentage of Marks? Thats why it is also known as Categorical Data. Your email address will not be published. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. 1.2: Variables and Types of Data - Statistics LibreTexts Also read: 22 Top Data Science Books Learn Data Science Like an Expert. ), Ranking of people in a competition (First, Second, Third, etc. 8. amount of money (in dollars) won playing poker, IQ scores (This may cause some discussion.). a. Discrete vs. Continuous Data: Differences & Examples The data are discrete because the data can only take on specific values. a. Q: State whether the data below are discrete or continuous, explain why. Each student is chosen using simple random sampling. 10. What can you conclude about the angles opposite these sides? Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student population? 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. Pick three quiz scores randomly from each column. These data cant be broken into decimal or fraction values. Solved CS State whether the data described below are - Chegg You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. So is the case of statistics too. All students in those two years are in the sample. This variability in samples cannot be stressed enough. Step One: Master the Foundational Knowledge. To find the average GPA of all students in a university, use all honor students at the university as the sample. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. A defective counting device can cause a nonsampling error. If you feel tired at the moment, even that too is fine. Statistical data needs to be critically analyzed, not simply accepted. Quantitative data may be either discrete or continuous. 2311Review - Math 2311 Test 1 Review Know all definitions! State Instead of that, just revise what youve already done. Surveys mailed to households and then returned may be very biased (they may favor a certain group). For example, if the population is 25 people, the sample is ten, and you are sampling with replacement for any particular sample, then the chance of picking the first person is ten out of 25, and the chance of picking a different second person is nine out of 25 (you replace the first person). It is not possible to measure qualitative data in terms of. Zanas house is at A, 500 feet from the intersection, and Tan's house is at B, 750 feet from F. Which distance is longer, the distance from Zana's house to Tan's house or the distance from Theresa's house to Is house? To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p . The data are continuous because the data can only take on specific values. It is classified into two broad categories: qualitative data and quantitative data. The prison populations of different countries ha Choose the correct answer below. Which two towers are closest together. True random sampling is done with replacement. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. State whether the data described below are discrete or - JustAnswer To choose a systematic sample, randomly select a starting point and take every nth piece of data from a listing of the population. The areas of the lawns are 144 sq. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. For the purpose of analysis, data are presented as the facts and figures collected together. Ducks in a pond are discrete data because the number of ducks is a finite number. The data are discrete because the data can only take on specific values. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). Data that can take a decimal value and can vary across a range is called . State whether the data described below are discrete or continuous, and explain why. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Record the number. It is also important to know what kind of plot is suitable for which data category; it helps in data analysis and visualization. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: CS 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. 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. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. The Literary Digest Poll, Virtual Laboratories in Probability and Statistics, Gallup Presidential Election Trial-Heat Trends, 19362008, Gallup Politics. according to measurement accuracy, it can be significantly subdivided into smaller sections. The examples you have seen in this book so far have been small. 1. 1. Just know that you have prepared and worked hard for this. I want to study the topic of Statistics for my college-level exams? 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. The discrete data contain the values that fall under integers or whole numbers. 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. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. Each random number may only contribute one class member. Finite values have discrete data. State whether the data described below are discrete or continuous, and explain why: . The data he collects are summarized in the histogram. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. A histogram is used to graphically represent continuous data. Ra 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. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. Show More. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. But still, their samples would be, in all likelihood, different from each other. These data are represented mainly by a bar graph, number line, or frequency table. For accuracy, carry the decimal answers to four decimal places. The list of fruit is nominal. When a car is randomly selected, it is found to have 3 wipers. The numbers of books (three, four, two, and one) are the quantitative discrete data. Suppose ABC College has 10,000 part-time students (the population). Performance & security by Cloudflare. The two numbers are for two of the columns. The total number of students in a class is an example of discrete data. The data are discrete because the data can take on any value in an interval. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. From that number, count ten quiz scores and record that quiz score. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. For this example, suppose Lisa chooses to generate random numbers from a calculator. the data can only take on specific values . A stated earlier, Lengths are in general, continuous variables. Our choice also depends on what we are using the data for. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. Books for these classes tend to be expensive. A continuous data set because there are infinitely many possible values and those values cannot be counted. Doreen and Jung each take samples of 500 students. Confounding: When the effects of multiple factors on a response cannot be separated. Your email address will not be published. These 15 quiz scores are the systematic sample. y's house is at D, 750 feet from the intersection. Press ENTER two more times for the other 2 random numbers. 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). This section will describe a few of the most common methods. If we have quantitative data, such as the correct number of questions on a test, then the data can be continuous or discrete. Sampling data should be done very carefully. Solved State whether the data described below are discrete - Chegg 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). 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. Press 5:randInt( and enter 1, 60). Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. You may wrap around (go back to the beginning). Record these numbers. Therefore this is discrete data. Two students carry three books, one student carries four books, one student carries two books, and one student carries one book. A. What type of data does this graph show? The data are continuous because the data can take Both samples are biased. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. 2013 - 2023 Great Lakes E-Learning Services Pvt. Surveys are typically done without replacement.
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