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

For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. Surveys are typically done without replacement. You have to be dedicated. The data are continuous because the data can only take on specific values . The numbers of majors offered by colleges Choose the correct answer below. For example, suppose you have to do a phone survey. If you feel tired at the moment, even that too is fine. What is the main difference between discrete and continuous data? Again, you sample the same five students. Ltd. All rights reserved. B. 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. It might sound a bit weird but do not burden yourself with new topics before the exam. the data can only take on specific values . For example, call-in surveys are invariably biased, because people choose to respond or not. 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. Using a calculator, random numbers are generated and a student from a particular discipline is selected if he or she has a corresponding number. To four decimal places, these numbers are not equivalent. Get Into Data Science From Non IT Background, Data Science Solving Real Business Problems, Understanding Distributions in Statistics, Major Misconceptions About a Career in Business Analytics, Business Analytics and Business Intelligence Possible Career Paths for Analytics Professionals, Difference Between Business Intelligence and Business Analytics. . Ra In this situation, create a bar graph and not a pie chart. This site is using cookies under cookie policy . Record the number. While working on these data, it is important to know the types of data to process them and get the right results. feet. Here are a few steps to prepare well for your exam which has statistics as a part of the course. If you did the experiment a third time, do you expect the results to be identical to the first or second experiment? A histogram is used to graphically represent continuous data. categorical, quantitative discrete or quantitative continuous. a. It is further classified as discrete data and continuous data. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. Try this experiment twice. A continuous data set because there are infinitely many possible values and those values cannot be counted. b. The second sample is taken using a list of senior citizens who take P.E. In other words, each sample of the same size has an equal chance of being selected. State whether the data described below are discrete or continuous, and explain why: . Lisa reads two-digit groups until she has chosen three class members (that is, she reads 0.94360 as the groups 94, 43, 36, 60). 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. Which two towers are closest together. A random number generator is used to pick two of those years. These 18 quiz scores are a stratified sample. Over time, some continuous data can change. OB. 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. If she needed to, Lisa could have generated more random numbers. There are a number of options if you go for the statistics degree. For example, the sample may not be large enough. A.The data are continuous because the data can only take on the data can only take on specificvalues. You are going to use the random number generator to generate different types of samples from the data. Indicate whether quantitative data are continuous or discrete. 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. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. Variation is present in any set of data. 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. Divide into groups of two, three, or four. 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. Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. This website is using a security service to protect itself from online attacks. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. Qualitative or Categorical Data is data that cant be measured or counted in the form of numbers. In a college population of 10,000 people, suppose you want to pick a sample of 1,000 randomly for a survey. These kinds of data are also known as Numerical data. 2003-2023 Chegg Inc. All rights reserved. Do not automatically assume that the study is good, but do not automatically assume the study is bad either. A sample that is not representative of the population is biased. The data are continuous because the data can only take on specific values. Confounding: When the effects of multiple factors on a response cannot be separated. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. Data may be classified as qualitative, quantitative continuous, or quantitative discrete. In some situations, having small samples is unavoidable and can still be used to draw conclusions. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. Nominal data.Ordinal data.Discrete data.Continuous data. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. The triangles show the position of the gate in relation to its closed position. The data are the areas of lawns in square feet. 5. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. Most data can be put into the following categories: Qualitative data are the result of categorizing or describing attributes of a population. Suppose we take two different samples. Quantitative data are always numbers. The data will be quantitative, say 2+3 (=5) apples. Create a stratified sample by column. The data are the number of books students carry in their backpacks. The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. A stated earlier, Lengths are in general, continuous variables. If you count the number of phone calls you receive for each day of the week, you might get values such as zero, one, two, or three. This variability in samples cannot be stressed enough. State whether the data described below are discrete or continuous, and explain why. The bar graph is used to graphically represent discrete data. All data that are the result of counting are called quantitative discrete data. Asking all 10,000 students is an almost impossible task. There are many different potential problems that can affect the reliability of a sample. , i.e. How to differentiate the obtained results as discrete and continuous data? To do so, the ship must sail between two pairs of islands, avoiding sailing between a third p D. The That is, a member of the population may be chosen only once. On the other hand, if we count large quantities of any discrete entity. Points in a graph of the discrete function remain unconnected. Often, people with strong positive or negative opinions may answer surveys, which can affect the results. Most of these students are, more than likely, paying more than the average part-time student for their books. The duration of movies in minutes A.The data are continuous because the data can take on any value in an interval. Examples are lengths, temperature, etc. Press ENTER. Step One: Master the Foundational Knowledge. 1: 23-54 (2012), ssh.dukejournals.org/content/36/1/23.abstract (accessed May 1, 2013). If there is a repeat press ENTER again. Qualitative data tells about the perception of people. 2013. If these data-driven topics got you interested in pursuing professional courses or a career in the field of Data Science. Larger samples are better, if possible. 3. It is from a continuousdata set because 218+ Consultants 4.7 Satisfaction rate a. However for practical reasons, in most populations, simple random sampling is done without replacement. the data can only take on specific values . If quantitative, state whether it's discrete or continuous. O A. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. Your answer is correct. b. Measurements of the amount of beverage in a 16-ounce can may vary because different people make the measurements or because the exact amount, 16 ounces of liquid, was not put into the cans. O A. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. If Doreen and Jung took larger samples (i.e. On your calculator, press Math and arrow over to PRB. A discrete data set because there are a finite number of possible values. They both did. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. Doreen's sample will be different from Jung's sample. These values do not have to be complete numbers, but they are values that are fixed. a. Solution: - Data : The capacities of different hotels. Ordinal data is qualitative data for which their values have some kind of relative position. As a class, determine whether or not the following samples are representative. These data dont have any meaningful order; their values are distributed into distinct categories. It is better for the person conducting the survey to select the sample respondents. To four decimal places, these numbers are equivalent (0.0999). The numbers of hotels in cities Choose the correct answer below. What is the type of sampling in each case? 25. Evaluate it on its merits and the work done. The exact distances (in centimeters) between the chairs in a college classroom. For example, in the case of statistics, algebra is a good option to learn before starting your statistics course. Convenience sampling involves using results that are readily available. Nominal Data is used to label variables without any order or quantitative value. All you can do right now is to just take a deep breath and believe in yourself! Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. A continuous data set because there are infinitely mamy possible values and those values cannot be counted. State whether the data described below are discrete or continuous, and explain why. This is true even when the samples are well-chosen and representative of the population. But still, their samples would be, in all likelihood, different from each other. Create a cluster sample by considering each state as a stratum (group). Divide your college faculty by department. 2013 - 2023 Great Lakes E-Learning Services Pvt. I want to study the topic of Statistics for my college-level exams? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 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. These data take on only certain numerical values. 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 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. The quiz scores (20 of them) in these 2 columns are the cluster sample. interval. B. It is further classified as discrete data and continuous data. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. What can you conclude about the angles opposite these sides? To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. The data are because.continuous the data can take on any value in an interval B. Great Learning's Blog covers the latest developments and innovations in technology that can be leveraged to build rewarding careers. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Now, suppose we take a third sample. All members of the four departments with those numbers are the cluster sample. feet, 190 sq. Discrete is data that can take only certain values. A random sample is a representative group from the population chosen by using a method that gives each individual in the population an equal chance of being included in the sample. The following pie charts have the Other/Unknown category included (since the percentages must add to 100%). A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. the distance it is from your home to the nearest grocery store. It may take any numeric value, within a potential value range of finite or infinite. Collecting data carelessly can have devastating results. according to measurement accuracy, it can be significantly subdivided into smaller sections. The data are the colors of backpacks. Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). Factors not related to the sampling process cause nonsampling errors. C. The data are 1.2.13 State whether the data described below are discrete or continuous and explain why.The times required by students to complete a statistics test Choose the correct answer below. Confounding makes it difficult or impossible to draw valid conclusions about the effect of each factor. Cloudflare Ray ID: 7a2992ec2e151da5 LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? If we were to examine two samples representing the same population, even if we used random sampling methods for the samples, they would not be exactly the same. The use of discrete and continuous quantitative variables would be helpful for detecting intervention effects . Data is the new oil. Today data is everywhere in every field. We might make different choices of what we think is the best graph depending on the data and the context. For these samples, each member of the population did not have an equally likely chance of being chosen. In today's changing times, pursuing a career in this subject is known to provide some of the most sought professional options. You measure continuous data. Probably not. The prison populations of different countries ha Choose the correct answer below. It is not possible to measure qualitative data in terms of. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. What are the career options in the field of Statistics? True random sampling is done with replacement. The data are discrete because the data can take on any value in an interval. O A. discrete because the data can only. Because students can complete only a whole number of hours (no fractions of hours allowed), this data is quantitative discrete. It only contains finite values, the subdivision of which is not possible. This data is so important for us that it becomes important to handle and store it properly, without any error. These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. A random number generator is used to select a student from the alphabetical listing of all undergraduate students in the Fall semester. Statistical data needs to be critically analyzed, not simply accepted. The exact lengths (in kilometers) of the ocean coastlines of different countries. 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. Notice that the frequencies do not add up to the total number of students. Most samples are taken from large populations and the sample tends to be small in comparison to the population. It is not possible to measure qualitative data in terms of numbers and it is subdivided into nominal and ordinal data. Continuous data represents information that can be divided into smaller levels. 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. ), 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. c . The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. The numbers of hotels in cities Choose the correct answer below. The data are discrete because the data can only take on specific values. This data helps a company analyze its business, design its strategies, and help build a successful data-driven decision-making process. The data are continuous because the data can only take on specific values. State whether the data described below are discrete or? Record the three quiz scores in column one that correspond to these three numbers. State whether the data described below are discrete or continuous, and explain why. Grouped distribution of continuous data tabulation frequencies is performed against a value group. Continuous data: When numerical data has . Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. The points are associated with an unbroken line. 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. The easiest method to describe is called a simple random sample. feet, and 210 sq. To choose a systematic sample, randomly select a starting point and take every nth piece of data from a listing of the population. It can be the version of an android phone, the height of a person, the length of an object, etc. The discrete data contain the values that fall under integers or whole numbers. First, we use convenience sampling and survey ten students from a first term organic chemistry class. Press 5:randInt( and enter 1, 60). According to a report, today, at least2.5 quintillion bytes of data are produced per day. . Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. A completely random method is used to select 75 students. To determine the proportion of people taking public transportation to work, survey 20 people in New York City. Additional Resources A. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. The option "B" is correct i.e. This section will describe a few of the most common methods. B. For example, you can not have a natural order for apple, orange, and banana. 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. Therefore, adjustment of the differential equations system under such data . Small letters like \(x\) or \(y\) generally are used to represent data values. Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. ), Ranking of people in a competition (First, Second, Third, etc. 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. Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. The data are discrete because the data can only take on specific values. The data are discrete because the data can take on any value in an interval. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. state whether the data is continous or discrete The durations of a chemical reaction comma repeated several times Choose the correct answer below. The data are discrete because the data can only take on specific values. Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. The Data and Story Library, lib.stat.cmu.edu/DASL/Datafiles/USCrime.html (accessed May 1, 2013). Quantitative data, on the other hand, is one that contains numerical values and uses a scope. 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 durations of a chemical reaction comma repeated . The tables display counts (frequencies) and percentages or proportions (relative frequencies). It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Quick Check Introduction to Data Science. A pie chart cannot be used. Data may come from a population or from a sample. You should know how to manage your time and utilize it in the best way possible. The table displays Ethnicity of Students but is missing the "Other/Unknown" category. 5 (2006). In the graph, the percentages add to more than 100% because students can be in more than one category. Which experiment had the correct results? Weights are quantitative continuous data because weights are measured. Therefore this is discrete data. You can go for many of the career options if you pursue stats, you can get detailed information about all of the above-mentioned choices and also many more careers on the online website of Vedantu which tells the full forms and also the detailed explanation of each one of them. Create a cluster sample by picking two of the columns. 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. 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. Two graphs that are used to display qualitative data are pie charts and bar graphs. B. Nominal and ordinal data can act as both discrete and continuous. 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. B. Pick three quiz scores randomly from each column. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. y's house is at D, 750 feet from the intersection. a chemical reaction comma repeated several times Choose the correct - Example, Formula, Solved Examples, and FAQs, Line Graphs - Definition, Solved Examples and Practice Problems, Cauchys Mean Value Theorem: Introduction, History and Solved Examples. The data are continuous because the data can only take on specific values. 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. (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.) continuous, and explain why. The registrar at State University keeps records of the number of credit hours students complete each semester. Continuous information is information that falls into a continuous series. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. Suppose ABC College has 10,000 part-time students (the population). Keep counting ten quiz scores and recording the quiz score until you have a sample of 12 quiz scores. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. The graph in Figure \(\PageIndex{5}\) is a Pareto chart. Look at Figures \(\PageIndex{3}\) and \(\PageIndex{4}\) and determine which graph (pie or bar) you think displays the comparisons better. The type of data that has clear spaces between values is discrete data. Starting with that student, every 50th student is chosen until 75 students are included in the sample. Discrete vs continuous data are two broad categories of numeric variables. The data are continuous because the data can take