This pie chart shows the students in each year, which is qualitative data. Indicate whether quantitative data are continuous or discrete. The triangles show the position of the gate in relation to its closed position. Press ENTER. 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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 \(\PageIndex{6}\). Biased samples that are not representative of the population give results that are inaccurate and not valid. The type of data that has clear spaces between values is discrete data. c . The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. O A. . 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. Question: State whether the data described below are discrete or continuous, and explain why. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. Here are a few steps to prepare well for your exam which has statistics as a part of the course. Quantitative data are the result of counting or measuring attributes of a population. Ungrouped frequency distribution of discrete data is performed against a single value. Press ENTER 2 more times (even the repeats). The data are discrete because the data can only take on specific values. Notice that the frequencies do not add up to the total number of students. Data from www.bookofodds.com/Relationsh-the-President. Compare the fractions 999/10,000 and 999/9,999. Misleading use of data: improperly displayed graphs, incomplete data, or lack of context. air. Determine whether the data described below are qualitative or quantitative 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. Confounding: When the effects of multiple factors on a response cannot be separated. Procrastination isnt even the last option if you are preparing for a statistics exam. 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. Tables are a good way of organizing and displaying data. a. Try this experiment twice. B. LBCC Distance Learning (DL) program data in 2010-2011. lastbaldeagle. The list of fruit is nominal. A pie chart cannot be used. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. The data are the weights of backpacks with books in them. We all know that time is very important, it doesnt wait for anyone. The gender of a person, i.e., male, female, or others, is qualitative data. There are several different methods of random sampling. 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. The points are associated with an unbroken line. This data is so important for us that it becomes important to handle and store it properly, without any error. 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. 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. To find the average GPA of all students in a university, use all honor students at the university as the sample. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. There are a number of options if you go for the statistics degree. Doreen and Jung each take samples of 500 students. pair starts due east and then turns 50 toward north. Statistics and Probability questions and answers, state whether the data is continous or discrete The durations of To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. Otherwise, the variable is nominal. The safest route is to avoid the closest pair of islands. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. Your answer is correct. A. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. These values do not have to be complete numbers, but they are values that are fixed. When you have a numeric variable, you need to determine whether it is discrete or continuous. The measure of Ris 5 greater than the measure of ZO. we conducted an additional simulated control chart analysis to determine whether detection of this normal . Number of bacteria in a petri dish is 12,120. Step 2: Discrete and continuous data. . Examples are lengths, temperature, etc. Ducks in a pond are discrete data because the number of ducks is a finite number. The result of the rolling is a dice is 1, 2, 3, 4, 5, 6, 7, and 8. This data helps market researchers understand the customers tastes and then design their ideas and strategies accordingly. A high school principal polls 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors regarding policy changes for after school activities. The data are discrete because the data can only take on specific . Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. It is better for the person conducting the survey to select the sample respondents. The first sample probably consists of science-oriented students. 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. Show Less. 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. It also could not be used if the percentages added to less than 100%. . It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. Divide into groups of two, three, or four. The data are discrete because the data can only take on specific values. Read the study carefully to evaluate the work. Experts are tested by Chegg as specialists in their subject area. Sometimes percentages add up to be more than 100% (or less than 100%). A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. Create a stratified sample by column. To four decimal places, these numbers are equivalent (0.0999). It is countable. You sample five students. A. The numbers of hotels in cities Choose the correct answer below. The colors of the houses are white, yellow, white, red, and white. A. Can I get some help? Finite values have discrete data. Self-selected samples: Responses only by people who choose to respond, such as call-in surveys, are often unreliable. For example, if you randomly sample four departments from your college population, the four departments make up the cluster sample. Blood type might be AB+, O-, or B+. The weights (in pounds) of their backpacks are 6.2, 7, 6.8, 9.1, 4.3. Quantitative data can be used for statistical manipulation. 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. Record the number. Data that can only take on certain values are discrete data. This variability in samples cannot be stressed enough. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). If quantitative, state whether it's discrete or continuous. Also, in both cases, not all students have a chance to be in either sample. Save my name, email, and website in this browser for the next time I comment. the number of classes you take per school year. Notice that backpacks carrying three books can have different weights. 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. That is, a member of the population may be chosen only once. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. Indicate whether quantitative data are continuous or discrete. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. O A. Another example is learning how to use calculators. Examples: crash testing cars or medical testing for rare conditions, Undue influence: collecting data or asking questions in a way that influences the response. Convenience sampling involves using results that are readily available. However, students shall understand that it is important for them to recognize their interests and based on that, select the best career path possible. The prison populations of different countries ha Choose the correct answer below. answer below. Learn data analytics or software development & get guaranteed* placement opportunities. The job of the statistician is to see through the variability and draw appropriate conclusions. 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. The option "B" is correct i.e. The numbers of hotels in cities Choose the correct answer below. the chance of picking the first person is 1,000 out of 10,000 (0.1000); the chance of picking a different second person for this sample is 999 out of 10,000 (0.0999); the chance of picking the same person again is 1 out of 10,000 (very low). By using simple random sampling, select states to be part of the cluster. State whether the data described below are discrete or continuous, and explain why. Therefore, adjustment of the differential equations system under such data . Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. 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. Number each department, and then choose four different numbers using simple random sampling. Sampling without replacement instead of sampling with replacement becomes a mathematical issue only when the population is small. Random sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling. Its really normal for you to feel anxious before your exam especially when the subject is statistics. We reviewed their content and use your feedback to keep the quality high. Collecting data carelessly can have devastating results. State whether the data described below are discrete or? To choose a systematic sample, randomly select a starting point and take every nth piece of data from a listing of the population. Why or why not? b. a chemical reaction comma repeated several times Choose the correct This data helps a company analyze its business, design its strategies, and help build a successful data-driven decision-making process. 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. Each method has pros and cons. On your calculator, press Math and arrow over to PRB. The data are discrete because the data can take on any value in an interval. 2013 - 2023 Great Lakes E-Learning Services Pvt. 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. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. Which experiment had the correct results? O C. Every value within a range is included in continuous data. A variable is said to be continuous if it can take on any value in an interval. Quantitative data are always numbers. Continuous Data Examples: Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. O C. The data are continuous because the data can. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. Work collaboratively to determine the correct data type (quantitative or qualitative). Examples of discrete variables are the number of students and age. B. the data can only take on specific values . Numeric variables represent characteristics that you can express as numbers rather than descriptive language. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? If there is a repeat press ENTER again. 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). 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. The land areas of different countries Choose the correct answer below. The data are continuous because the data can take on any value in an interval. It is classified into two broad categories: qualitative data and quantitative data. From that number, count ten quiz scores and record that quiz score. The continuous data can be broken down into. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. These values do not have to be complete numbers, but they are values that are fixed. Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. C. You sample the same five 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. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. Press ENTER. To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. However for practical reasons, in most populations, simple random sampling is done without replacement. continuous, and explain why. What is the main difference between discrete and continuous data? To determine the proportion of people taking public transportation to work, survey 20 people in New York City. O C. Gathering information about an entire population often costs too much or is virtually impossible. Those numbers picked from the first department, picked from the second department, and so on represent the members who make up the stratified sample. The action you just performed triggered the security solution. In the graph, the percentages add to more than 100% because students can be in more than one category. When you analyze data, it is important to be aware of sampling errors and nonsampling errors. The data are the number of books students carry in their backpacks. They may be related (correlated) because of their relationship through a different variable. The color of hair can be considered nominal data, as one color cant be compared with another color. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. The continuous variable can take any value within a range. They both did. So is the case of statistics too. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. State whether the data described below are discrete or continuous, and explain why. Do you think that either of these samples is representative of (or is characteristic of) the entire 10,000 part-time student population? Both samples are biased. , i.e. These 18 quiz scores are a stratified sample. Instead of that, just revise what youve already done. according to measurement accuracy, it can be significantly subdivided into smaller sections. If she needed to, Lisa could have generated more random numbers. State whether the data described below are discrete or continuous, and explain why. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. The tables display counts (frequencies) and percentages or proportions (relative frequencies). The second sample is taken using a list of senior citizens who take P.E. You are going to use the random number generator to generate different types of samples from the data. The data will be quantitative, say 2+3 (=5) apples. The size of a sample (often called the number of observations) is important. The first You should ask the doubt there and then clear it, analyze it and work on it. D. The Data that can take a decimal value and can vary across a range is called . Your email address will not be published. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. Books for these classes tend to be expensive. O B. 13. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. Legal. and the Michigan State University Institutional Animal Care and Use Committee prior to the start of data collection. Work collaboratively to determine the correct data type (quantitative or qualitative). Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Statistics involves organizing, analyzing, interpreting, and representing data. The percent columns make comparing the same categories in the colleges easier. The easiest method to describe is called a simple random sample. State whether the data described below are discrete or continuous, and explain why The speeds of the different people walking in a park Choose the correct answer below. Roll one fair die (six-sided) 20 times. Over time, some continuous data can change. It is not possible to measure qualitative data in terms of. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. Each random number may only contribute one class member. The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). As a class, determine whether or not the following samples are representative. Create a simple random sample of 15 quiz scores. 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. All you can do right now is to just take a deep breath and believe in yourself! Qualitative or Categorical Data is data that cant be measured or counted in the form of numbers. These data take on only certain numerical values. The numbers of countries in the world in different years Choose the correct answer below. The data are continuous because the data can only take on specific values. A random number generator is used to pick two of those years. and it is subdivided into nominal and ordinal data. 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. You can specify conditions of storing and accessing cookies in your browser. Press MATH. Surely, you can get all the study material on Vedantu mobile app- learn live online. The data are continuous because the data can take on any value in an interval. The numbers of books (three, four, two, and one) are the quantitative discrete data. the chance of picking the first person for any particular sample is 1000 out of 10,000 (0.1000); the chance of picking a different second person is 999 out of 9,999 (0.0999); you do not replace the first person before picking the next person. Ordinal data is qualitative data for which their values have some kind of relative position. Your phone book contains 20,000 residence listings. Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. QUESTIONState whether the data described below are discrete or continuous, and explain why. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. Nominal Data is used to label variables without any order or quantitative value. B. Press ENTER two more times for the other 2 random numbers. A stated earlier, Lengths are in general, continuous variables. This is important to know when we think about what the data are telling us. O A. Question: State whether the data described below are discrete or continuous, and explain why. The data are discrete because the data can only take on specific values. Evaluate it on its merits and the work done. You count discrete data. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. The table displays Ethnicity of Students but is missing the "Other/Unknown" category. You should know how to manage your time and utilize it in the best way possible. The numbers of majors offered by colleges Choose the correct answer below. Record the quiz scores that correspond to these numbers. The data are discrete because the data can only take on specific values. For this example, suppose Lisa chooses to generate random numbers from a calculator. There are many different potential problems that can affect the reliability of a sample. the data can only take on specific values . b. All data that are the result of counting are called quantitative discrete data. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. 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. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. It is classified into two broad categories: qualitative data and quantitative data. Your instructor will give each group one six-sided die. We need to evaluate the statistical studies we read about critically and analyze them before accepting the results of the studies. Required fields are marked *. B. Just know that you have prepared and worked hard for this. 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). Discrete vs continuous data are two broad categories of numeric variables. O C. The data are continuous because the data can take on any value in an interval. Also, the sample represents only those who showed up to the event earlier than the majority. No. 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. Continuous data is the data that can be of any value. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Those 100 students are the sample. Continuous data are in the form of fractional numbers. Record the number. However, generally, we use age as a discrete, NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 8 Social Science, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. Over time, some continuous data can change. Which is the safest route for the ship? Press ENTER and record that number. The data are because.continuous the data can only take on specific values C. For example, you can not have a natural order for apple, orange, and banana. Surveys are typically done without replacement. For example, suppose you have to do a phone survey. First, we use convenience sampling and survey ten students from a first term organic chemistry class. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers.