Question: State whether the data described below are discrete or continuous, and explain why. The numbers of hotels in cities Choose the correct answer below. These kinds of data can be considered in-between qualitative and quantitative data. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Notice that the frequencies do not add up to the total number of students. The triangles show the position of the gate in relation to its closed position. Researchers often prefer to use quantitative data over qualitative data because it lends itself more easily to mathematical analysis. 26. There are particular calculators for different statistics exams and having good knowledge about their use and implementation would be great. Asking all 10,000 students is an almost impossible task. 2013. Each method has pros and cons. The data are because.continuous the data can only take on specific values C. Once you are clear with the basic concept, you shall be able to understand additional concepts easily. The data are discrete because the data can only take on specific values. Show Less. It is better for the person conducting the survey to select the sample respondents. . These data are represented mainly by a bar graph, number line, or frequency table. A medical researcher interviews every third cancer patient from a list of cancer patients at a local hospital. according to measurement accuracy, it can be significantly subdivided into smaller sections. A sample that is not representative of the population is biased. Two students carry three books, one student carries four books, one student carries two books, and one student carries one book. a. 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. Data is classified into 4 types. The percent columns make comparing the same categories in the colleges easier. To choose a stratified sample, divide the population into groups called strata and then take a proportionate number from each stratum. Nominal Data is used to label variables without any order or quantitative value. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. pair starts due east and then turns 50 toward north. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. The colors of the houses are white, yellow, white, red, and white. The list of fruit is nominal. Try to identify additional data sets in this example. Quantitative data can be expressed in numerical values, making it countable and including statistical data analysis. O A. Those 100 students are the sample. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. we conducted an additional simulated control chart analysis to determine whether detection of this normal . 1. Instead of that, just revise what youve already done. 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. 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 take on any value in an interval. 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. b. Ra You sample five gyms. Section 1-2 Practice Problems Flashcards | Quizlet The numbers generated are as follows: 0.94360; 0.99832; 0.14669; 0.51470; 0.40581; 0.73381; 0.04399. Many of these students are taking first term calculus in addition to the organic chemistry class. Three cell phone towers form APQR. If quantitative, state whether it's discrete or continuous. You can also visit their website. Instructions: Use the Random Number Generator to pick samples. We are interested in the average amount of money a part-time student spends on books in the fall term. Answered: State whether the data discribed below | bartleby classes and taking every fifth senior citizen on the list, for a total of ten senior citizens. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. The continuous data can be broken down into fractions and decimals, i.e. To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. If the survey is done well, the answer is yes. The weights (in pounds) of their backpacks are 6.2, 7, 6.8, 9.1, 4.3. It may take any numeric value, within a potential value range of finite or infinite. If you feel tired at the moment, even that too is fine. Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. Explain your reasoning. State whether the data described below are discrete or - JustAnswer In this article, we have discussed the data types and their differences. For example, you could stratify (group) your college population by department and then choose a proportionate simple random sample from each stratum (each department) to get a stratified random sample. Our choice also depends on what we are using the data for. State whether the data described below are discrete or continuous, and explain why: . the distance it is from your home to the nearest grocery store. On your calculator, press Math and arrow over to PRB. Doreen and Jung each take samples of 500 students. The data are discrete because the data can only take on specific values. a. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. Systematic sampling is frequently chosen because it is a simple method. The second sample is a group of senior citizens who are, more than likely, taking courses for health and interest. Compare the fractions 9/25 and 9/24. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. A random number generator is used to pick two of those years. Question: CS State whether the data described below are discrete or continuous, and explain why. Since these samples are not representative of the entire population, is it wise to use the results to describe the entire population? 5 (2006). 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). 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. Discrete vs. Continuous Data: Differences & Examples State whether the data described below are discrete or? According to a report, today, at least2.5 quintillion bytes of data are produced per day. If you feel like your doubt is stupid and you skip it rather than ask it, it is not the correct approach. The tables display counts (frequencies) and percentages or proportions (relative frequencies). where n is the number of tips in the phylogeny ( ) , P is the continuous trait value of each species, and Q is the expected value of each species given the continuous trait model calculated following Equation (11) of Beaulieu et al. Work more on basics as they form the basis for many other concepts. The option "B" is correct i.e. Complex numbers and fluctuating data values that be measured over a defined time frame are referred to as continuous data. c. The data are continuous because the data can take on any value in an interval. It helps you in saving time later as you already have some knowledge about algebra. Otherwise, the variable is nominal. In this situation, create a bar graph and not a pie chart. 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. This data is so important for us that it becomes important to handle and store it properly, without any error. Roll one fair die (six-sided) 20 times. For accuracy, carry the decimal answers to four decimal places. Nominal Data is used to label variables without any order or quantitative value. These data take on only certain numerical values. A bar graph is appropriate to compare the relative size of the categories. b. We may prefer not to think of 10,00,100 and 10,00,102 as crucially different values, but instead as nearby points on an approximate continuum. For qualitative data, if the list can be sorted naturally, we further specify it as an ordinal variable. Therefore this is discrete data. A.The data are continuous because the data can only take on the data can only take on specificvalues. Your IP: Discrete data is data that can only take certain values, while data that can take any value is continuous data. Quick Check Introduction to Data Science. Surely, you can get all the study material on Vedantu mobile app- learn live online. State whether the data described below are discrete or continuous, and explain why. 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. Convenience sampling involves using results that are readily available. Your email address will not be published. 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. The data are discrete because the data can take on any value in an interval. 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. Record the number. Save my name, email, and website in this browser for the next time I comment. These values do not have to be complete numbers, but they are values that are fixed. Tables are a good way of organizing and displaying data. y's house is at D, 750 feet from the intersection. When a car is randomly selected, it is found to have 3 wipers. The Data and Story Library, lib.stat.cmu.edu/DASL/Datafiles/USCrime.html (accessed May 1, 2013). These data are used for observation like customer satisfaction, happiness, etc., but we cant do any arithmetical tasks on them. B. Your instructor will give each group one six-sided die. Still, continuous data stores the fractional numbers to record different types of data such as temperature, height, width, time, speed, etc. To find the average GPA of all students in a university, use all honor students at the university as the sample. You sample five houses. 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. and the Michigan State University Institutional Animal Care and Use Committee prior to the start of data collection. The durations of a chemical reaction comma repeated . A. You measure continuous data. Number each department, and then choose four different numbers using simple random sampling. Your email address will not be published. Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. 134.209.154.177 Number of bacteria in a petri dish is 12,120. Compare the fractions 999/10,000 and 999/9,999. This is important to know when we think about what the data are telling us. 1. 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. 1: 23-54 (2012), ssh.dukejournals.org/content/36/1/23.abstract (accessed May 1, 2013). You count discrete data. Why or why not? Press ENTER and record that number. State whether the data described below are discrete or continuous, and 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. To four decimal places, these numbers are not equivalent. 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. We all know that time is very important, it doesnt wait for anyone. The graph in Figure \(\PageIndex{5}\) is a Pareto chart. . 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. Quantitative data are the result of counting or measuring attributes of a population. The data are continuous because the data can take on any value in an interval . These types of data are sorted by category, not by number. The discrete data are countable and have finite values; their subdivision is not possible. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Required fields are marked *. O A. 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. Different types of data are used in research, analysis, statistical analysis, data visualization, and data science. State whether the data described below are discrete or continuous, and The data will be quantitative, say 2+3 (=5) apples. Additional Resources according to measurement accuracy, it can be significantly subdivided into smaller sections. Students often ask if it is "good enough" to take a sample, instead of surveying the entire population. Two positions of an open gate are shown. In other words, each sample of the same size has an equal chance of being selected. You will learn why when you study confidence intervals. 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. To four decimal places, these numbers are equivalent (0.0999). The data are the areas of lawns in square feet. 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. state whether the data is continous or discrete The durations of The data are discrete because the data can take on any value in an interval. The two numbers are for two of the columns. No. If you're asked whether age is a continuous or discrete variable in an Introductory Statistics class, the correct answer is technically continuous. the data can only take on specific values . The data he collects are summarized in the histogram. Procrastination isnt even the last option if you are preparing for a statistics exam. What type of data does this graph show? In the graph, the percentages add to more than 100% because students can be in more than one category. All data that are the result of counting are called quantitative discrete data. B. Record the number. You sample the same five students. We need to evaluate the statistical studies we read about critically and analyze them before accepting the results of the studies. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. A histogram is used to graphically represent continuous data. You can email the site owner to let them know you were blocked. The actual process of sampling causes sampling errors. Surveys are typically done without replacement. It is classified into two broad categories: qualitative data and quantitative data. There are a number of options if you go for the statistics degree. The data are discrete because the data can only take on specific values. Neither would be wrong, however. A histogram is used to display quantitative data: the numbers of credit hours completed. The numbers of majors offered by colleges Choose the correct answer below. For example, the number of desks in an office, the number of times a dice is rolled, the number of telephone calls received, etc. The results of convenience sampling may be very good in some cases and highly biased (favor certain outcomes) in others. Collecting data carelessly can have devastating results. 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. These kinds of data are also known as Numerical data. Experts are tested by Chegg as specialists in their subject area. A type of sampling that is non-random is convenience sampling. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. You cannot expect your brain to work nicely with hundreds of thoughts, it will only create a mess. However, in the real world age is often treated as a discrete variable because it makes more sense when collecting data and when reporting the results of a study. The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. For example, 16-ounce cans of beverage may contain more or less than 16 ounces of liquid. Press ENTER 2 more times (even the repeats). Can I get some help? It can be the version of an android phone, the height of a person, the length of an object, etc. It is easy in many cases, discrete data is preceded by the number of, which makes the differentiation of results easier. Divide 84 a money box contains 1 coins, 2 coins, 5 coins and 10 coins 10 coins is four times the number of 1 coins. This data helps a company analyze its business, design its strategies, and help build a successful data-driven decision-making process. What is the type of sampling in each case? For column 1, Press 5:randInt( and enter 1,10). A completely random method is used to select 75 students. When properly selected, larger samples model the population more closely than smaller samples. The freshman, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. Press ENTER. Variation is present in any set of data. Thats why it is also known as Categorical Data. It is further classified as discrete data and continuous data. Excelling your basic knowledge about the subject promotes conceptual learning and hence, you can easily get familiar with new concepts too. For example, the sample may not be large enough. It only contains finite values, the subdivision of which is not possible. The following pie charts have the Other/Unknown category included (since the percentages must add to 100%). Continuous data: When numerical data has . The points are associated with an unbroken line. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. 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. Qualitative data tells about the perception of people. First, we use convenience sampling and survey ten students from a first term organic chemistry class. For example, call-in surveys are invariably biased, because people choose to respond or not. Do not automatically assume that the study is good, but do not automatically assume the study is bad either. 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. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. Q: Classify the Following as Discrete and Continuous Data. Therefore, adjustment of the differential equations system under such data . Determine whether the data are from discrete data or continuous data set. 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. 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). The discrete data contain the values that fall under integers or whole numbers. Age is discrete data because we could be infinitely precise and use an infinite number of decimal places, rendering age continuous as a result. Read the study carefully to evaluate the work. These data consist of audio, images, symbols, or text. 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. The continuous data can be broken down into. The exact lengths (in kilometers) of the ocean coastlines of different countries. It is a good idea to look at a variety of graphs to see which is the most helpful in displaying the data. a. stratified; b. cluster; c. stratified; d. systematic; e. simple random; f.convenience. (a) Is the data discrete or continuous? Why? (b) Prepare a freq | Filo The data are discrete because the data can only take on specific values. Question: State whether the data described below are discrete or continuous, and explain why. For example, you can not have a natural order for apple, orange, and banana. Determine whether the data are from discrete data or continuous data set. Also read: 22 Top Data Science Books Learn Data Science Like an Expert. O C. The data are continuous because the data can take on any value in an interval. These 18 quiz scores are a stratified sample. It would be great if you already have a bit of knowledge about a course before opting for it. feet, 190 sq. The data are continuous because the data can only take on specific values. Sampling without replacement instead of sampling with replacement becomes a mathematical issue only when the population is small. Grouped distribution of continuous data tabulation frequencies is performed against a value group. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. However, if two or more of you are taking the same data and get very different results, it is time for you and the others to reevaluate your data-taking methods and your accuracy. Biased samples that are not representative of the population give results that are inaccurate and not valid. Press MATH. Step 2: Discrete and continuous data. A continuous data set because there are infinitely mamy possible values and those values cannot be counted. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. 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. Most statisticians use various methods of random sampling in an attempt to achieve this goal. Performance & security by Cloudflare. Another example is learning how to use calculators. on any value in an interval . Every value within a range is included in continuous data. On the other hand, if we count large quantities of any discrete entity. A. Divide into groups of two, three, or four. feet, 180 sq. Surveys mailed to households and then returned may be very biased (they may favor a certain group). Most samples are taken from large populations and the sample tends to be small in comparison to the population. Over time, some continuous data can change. State whether the data described below are discrete or continuous, and explain why. OD. Qualitative or Quantitative? Discrete or Continuous? | Ching-Chi Yang A large ship is sailing between three small islands.
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