state whether the data is discrete or continuous state whether the data is discrete or continuous

Additional Resources Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. In other words, each sample of the same size has an equal chance of being selected. Measurement of height and weight of a student, Daily temperature measurement of a place, Wind speed measured daily, etc. A local radio station has a fan base of 20,000 listeners. This is true even when the samples are well-chosen and representative of the population. Suppose ABC College has 10,000 part-time students (the population). Ltd. All rights reserved. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. The data are continuous because the data can take on any value in an interval. Quick Check Introduction to Data Science. The data are continuous because the data can only take on specific values. on any value in an interval . The number of classes a student missed. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Press ENTER 2 more times (even the repeats). Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. The points are associated with an unbroken line. All you can do right now is to just take a deep breath and believe in yourself! Ducks in a pond are discrete data because the number of ducks is a finite number. The measure of ZQ is 10 less than the measure of LP. The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. These data take on only certain numerical values. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. Data that can only take on certain values are discrete data. Data is classified into 4 types. By using simple random sampling, select states to be part of the cluster. The examples you have seen in this book so far have been small. Is the study impartial? Discrete Data Examples: The number of students in a class, the number of chocolates in a bag, the number of strings on the guitar, the number of fishes in the aquarium, etc. Continuous data: When numerical data has . OOO O A. 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. If you feel tired at the moment, even that too is fine. There are no strict rules concerning which graphs to use. And this is the reason why most students find it to be an interesting subject. The data are continuous because the data can only take on specific values. Try to identify additional data sets in this example. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. O A. The total number of students in a class is an example of discrete data. The data are continuous because the data can take on any value in an interval . Now, suppose we take a third sample. The data are discrete because the data can . This website is using a security service to protect itself from online attacks. Sample size issues: Samples that are too small may be unreliable. B. The data are discrete because the data can only take on specific values. For example, the sample may not be large enough. Often, people with strong positive or negative opinions may answer surveys, which can affect the results. Starting with that student, every 50th student is chosen until 75 students are included in the sample. If the survey is done well, the answer is yes. For accuracy, carry the decimal answers to four decimal places. The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. How to Calculate the Percentage of Marks? Discrete vs continuous data are two broad categories of numeric variables. However the third random number, 0.14669, contains 14 (the fourth random number also contains 14), the fifth random number contains 05, and the seventh random number contains 04. Divide your college faculty by department. The exact distances (in centimeters) between the chairs in a college classroom. Cloudflare Ray ID: 7a2992ec2e151da5 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. 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. If Doreen and Jung took larger samples (i.e. Most data can be put into the following categories: Qualitative data are the result of categorizing or describing attributes of a population. A defective counting device can cause a nonsampling error. A. LBCC Distance Learning (DL) program data in 2010-2011. lastbaldeagle. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. The prison populations of different countries ha Choose the correct answer below. O C. The data are continuous because the data can. classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. The data she collects are summarized in the pie chart Figure \(\PageIndex{1}\). When you analyze data, it is important to be aware of sampling errors and nonsampling errors. The registrar at State University keeps records of the number of credit hours students complete each semester. The areas of the lawns are 144 sq. Indicate whether quantitative data are continuous or discrete. To find the average annual income of all adults in the United States, sample U.S. congressmen. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. Experts are tested by Chegg as specialists in their subject area. Press MATH. O B. b. For any particular sample of 1,000, if you are sampling with replacement. c . However, generally, we use age as a discrete variable. On your calculator, press Math and arrow over to PRB. We all know that time is very important, it doesnt wait for anyone. 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. categorical, quantitative discrete or quantitative continuous. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. A sample should have the same characteristics as the population it is representing. . These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. B. Sampling without replacement instead of sampling with replacement becomes a mathematical issue only when the population is small. Ungrouped frequency distribution of discrete data is performed against a single value. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. The following graph is the same as the previous graph but the Other/Unknown percent (9.6%) has been included. Can we have both discrete data and continuous data from the same experiment? O C. The data are continuous because the data can take on any value in an interval. The triangles show the position of the gate in relation to its closed position. feet. Each student is chosen using simple random sampling. State whether the data described below are discrete or continuous, and explain why. Common problems to be aware of include. No. B. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The second sample is taken using a list of senior citizens who take P.E. Experts are tested by Chegg as specialists in their subject area. Nominal Data is used to label variables without any order or quantitative value. Doreen uses systematic sampling and Jung uses cluster sampling. The Data and Story Library, lib.stat.cmu.edu/DASL/Datafiles/USCrime.html (accessed May 1, 2013). A type of sampling that is non-random is convenience sampling. That is, a member of the population may be chosen only once. Gathering information about an entire population often costs too much or is virtually impossible. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p A. 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. Data from www.bookofodds.com/Relationsh-the-President. D. The we conducted an additional simulated control chart analysis to determine whether detection of this normal . According to a report, today, at least 2.5 quintillion bytes of data are produced per day. The safest route is to avoid the closest pair of islands. 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. 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. O A. A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. You may wrap around (go back to the beginning). Show Less. The numbers of programs installed on various computers ANSWERA.) Grouped distribution of continuous data tabulation frequencies is performed against a value group. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. Tables are a good way of organizing and displaying data. The amount of money they spend on books is as follows: $128; $87; $173; $116; $130; $204; $147; $189; $93; $153. Performance & security by Cloudflare. All the members from these clusters are in the cluster 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 color of hair can be considered nominal data, as one color cant be compared with another color. The amount of money they spend on books is probably much less than the average parttime student. Otherwise, the variable is nominal. Discrete data is data that can only take certain values, while data that can take any value is continuous data. y's house is at D, 750 feet from the intersection. Surely, you can get all the study material on Vedantu mobile app- learn live online. The amount a person grew (in height) in a year. It is countable. The discrete data are countable and have finite values; their subdivision is not possible. 10. Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. 2013. Question: State whether the data described below are discrete or continuous, and explain why. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. Ivy's house is at E, 750 feet from the intersection. The continuous variable can take any value within a range. As a class, determine whether or not the following samples are representative. The other examples of qualitative data are : Difference between Nominal and Ordinal Data, Difference between Discrete and Continuous Data, 22 Top Data Science Books Learn Data Science Like an Expert, PGP In Data Science and Business Analytics, PGP In Artificial Intelligence And Machine Learning, Nominal data cant be quantified, neither they have any intrinsic ordering, Ordinal data gives some kind of sequential order by their position on the scale, Nominal data is qualitative data or categorical data, Ordinal data is said to be in-between qualitative data and quantitative data, They dont provide any quantitative value, neither can we perform any arithmetical operation, They provide sequence and can assign numbers to ordinal data but cannot perform the arithmetical operation, Nominal data cannot be used to compare with one another, Ordinal data can help to compare one item with another by ranking or ordering, Discrete data are countable and finite; they are whole numbers or integers, Continuous data are measurable; they are in the form of fractions or decimal, Discrete data are represented mainly by bar graphs, Continuous data are represented in the form of a histogram, The values cannot be divided into subdivisions into smaller pieces, The values can be divided into subdivisions into smaller pieces, Discrete data have spaces between the values, Continuous data are in the form of a continuous sequence, Opinion on something (agree, disagree, or neutral), Colour of hair (Blonde, red, Brown, Black, etc. Then survey every U.S. congressman in the cluster. It is not possible to measure qualitative data in terms of. 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. the data can only take on specific values . For the purpose of analysis, data are presented as the facts and figures collected together. Samples that contain different individuals result in different data. If you sample without replacement, then the chance of picking the first person is ten out of 25, and then the chance of picking the second person (who is different) is nine out of 24 (you do not replace the first person). First, we use convenience sampling and survey ten students from a first term organic chemistry class. Data that takes distinct values and cannot be in decimals is called discrete data. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. Besides herself, Lisas group will consist of Marcierz, Cuningham, and Cuarismo. 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). 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. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. Record the number. The data are continuous because This is completely natural. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. These data consist of audio, images, symbols, or text. Scott Keeter et al., Gauging the Impact of Growing Nonresponse on Estimates from a National RDD Telephone Survey, Public Opinion Quarterly 70 no. 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. To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. These data are represented mainly by a bar graph, number line, or frequency table. 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). . 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. Work collaboratively to determine the correct data type (quantitative or qualitative). You are going to use the random number generator to generate different types of samples from the data. They may be related (correlated) because of their relationship through a different variable. Books for these classes tend to be expensive. (We assume that these are the only disciplines in which part-time students at ABC College are enrolled and that an equal number of part-time students are enrolled in each of the disciplines.) a. The data are continuous because the data can take on any value in an interval. Press 5:randInt( and enter 1, 60). There are a number of options if you go for the statistics degree. Weights are quantitative continuous data because weights are measured. The quiz scores (20 of them) in these 2 columns are the cluster sample. 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? When a sampling bias happens, there can be incorrect conclusions drawn about the population that is being studied. b. 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. a. stratified; b. systematic; c. simple random; d. cluster; e. convenience. Also, in both cases, not all students have a chance to be in either sample. A sample of 100 undergraduate San Jose State students is taken by organizing the students names by classification (freshman, sophomore, junior, or senior), and then selecting 25 students from each. A histogram is used to graphically represent continuous data. 3. This section will describe a few of the most common methods. The data are because.continuous the data can take on any value in an interval B. B.The data are discrete because the data can only take on specific values. The data are continuous because the data can only take on specific values. The data are continuous because the data can only take on specific values . Over time, some continuous data can change. What type of data does this graph show? 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. 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. It may take any numeric value, within a potential value range of finite or infinite. The data are continuous because the data can only take on specific values. Both samples are biased. Sampling data should be done very carefully. Here are a few steps to prepare well for your exam which has statistics as a part of the course. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. The exact lengths (in kilometers) of the ocean coastlines of different countries. The exact lengths (in kilometers) of the ocean coastlines of different countries. Quantitative data are always numbers. O C. 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). C. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. Your email address will not be published. Quantitative data can be used for statistical manipulation. B. The data are the number of books students carry in their backpacks. 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. state whether the data is continous or discrete The durations of a chemical reaction comma repeated several times Choose the correct answer below. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. Besides the chemistry course, some of them are also taking first-term calculus. The data are discrete because the data can take on any value in an interval. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. The data are discrete because the data can take on any value in an interval. Question: CS 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. When a car is randomly selected, it is found to have 3 wipers. You should ask the doubt there and then clear it, analyze it and work on it. B. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. For these samples, each member of the population did not have an equally likely chance of being chosen. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. Legal. 2003-2023 Chegg Inc. All rights reserved. The data are continuous because the data can take on any value in an interval. A continuous data set because there are infinitely many possible values and those values cannot be counted. 13. the number of classes you take per school year. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. Nominal Data is used to label variables without any order or quantitative value. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. For the purpose of analysis, data are presented as the facts and figures collected together. The distance from G to H in 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. Show More. 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.