Data are individual items of information that come from a population or sample. 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. Learn data analytics or software development & get guaranteed* placement opportunities. 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. Again, you sample the same five students. Asking all 10,000 students is an almost impossible task. A statistics professor collects information about the classification of her students as freshmen, sophomores, juniors, or seniors. It includes only those values which are separate and can only be counted in, , which means that the data can not be split into, Continuous data is the data that can be of any value. It is better for the person conducting the survey to select the sample respondents. the type of car you drive. a. Any group of n individuals is equally likely to be chosen by any other group of n individuals if the simple random sampling technique is used. For example, call-in surveys are invariably biased, because people choose to respond or not. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. C. , i.e. Discrete data: When numerical data has values that are countable and specific to a particular category, it is called discrete data. When a car is randomly selected, it is found to have 3 wipers. Continuous data are in the form of fractional numbers. O A. Blood type might be AB+, O-, or B+. we conducted an additional simulated control chart analysis to determine whether detection of this normal . The data are discrete because the data can take on any value in an interval. Quantitative data may be either discrete or continuous. If you feel tired at the moment, even that too is fine. The amount a person grew (in height) in a year. Samples of only a few hundred observations, or even smaller, are sufficient for many purposes. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Examples of discrete variables are the number of students and age. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. It also could not be used if the percentages added to less than 100%. Required fields are marked *. Indicate whether quantitative data are continuous or discrete. Because it is not practical to measure the entire population in a study, researchers use samples to represent the population. Variation is present in any set of data. 8. Compared to nominal data, ordinal data have some kind of order that is not present in nominal data. The following pie charts have the Other/Unknown category included (since the percentages must add to 100%). Note: randInt(0, 30, 3) will generate 3 random numbers. The continuous data can be broken down into. A sample should have the same characteristics as the population it is representing. The colors red, black, black, green, and gray are qualitative data. discrete because the data can only take on specific values . What can you conclude about the angles opposite these sides? O A. Press ENTER. Small letters like \(x\) or \(y\) generally are used to represent data values. State whether the data described below are discrete or? continuous, and according to measurement accuracy, it can be significantly subdivided into smaller sections. Systematic sampling is frequently chosen because it is a simple method. Instead of that, just revise what youve already done. 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). State whether the data described below are discrete or continuous, and explain why. 5. Manufacturers regularly run tests to determine if the amount of beverage in a 16-ounce can falls within the desired range. Numeric variables represent characteristics that you can express as numbers rather than descriptive language. B. To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. The first Continuous information is information that falls into a continuous series. Name data sets that are quantitative discrete, quantitative continuous, and qualitative. Qualitative data tells about the perception of people. ), Ranking of people in a competition (First, Second, Third, etc. It was mentioned previously that two or more samples from the same population, taken randomly, and having close to the same characteristics of the population will likely be different from each other. O C. 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http://poq.oxfordjournals.org/content/70/5/759.full, source@https://openstax.org/details/books/introductory-statistics, status page at https://status.libretexts.org, Students who intend to transfer to a 4-year educational institution. feet, 160 sq. A more technological way is for Lisa to first list the last names of the members of her class together with a two-digit number, as in Table \(\PageIndex{2}\): Lisa can use a table of random numbers (found in many statistics books and mathematical handbooks), a calculator, or a computer to generate random numbers. The data are the colors of backpacks. The second sample is taken using a list of senior citizens who take P.E. 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. Press 5:randInt( and enter 1, 60). Create a cluster sample by picking two of the columns. Sample size issues: Samples that are too small may be unreliable. All students in those two years are in the sample. Probably not. Two positions of an open gate are shown. Do you think that this sample is representative of (or is characteristic of) the entire 20,000 listener population? The Other/Unknown category is large compared to some of the other categories (Native American, 0.6%, Pacific Islander 1.0%). Otherwise, the variable is nominal. If quantitative, state whether it's discrete or continuous. OD. A histogram is used to graphically represent continuous data. B.The data are discrete because the data can only take on specific values. 1. 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. Try this experiment twice. The volume of cola in a can is 11.8 oz. Discrete is data that can take only certain values. Create a cluster sample by considering each state as a stratum (group). Is Age a Discrete or Continuous Variable? - Statology For example, the sample may not be large enough. The weights of the soups (19 ounces, 14.1 ounces, 19 ounces) are quantitative continuous data because you measure weights as precisely as possible. You sample five houses. Record the quiz scores that correspond to these numbers. Divide into groups of two, three, or four. MAT 131 - Descriptive Statistics Ch. 1.2 - Types of Data - Quizlet Continuous data represents information that can be divided into smaller levels. The data are the number of books students carry in their backpacks. Sometimes percentages add up to be more than 100% (or less than 100%). C. The data are It is easy in many cases, discrete data is preceded by the number of, which makes the differentiation of results easier. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. Examples are lengths, temperature, etc. Other well-known random sampling methods are the stratified sample, the cluster sample, and the systematic sample. Whether you are a data scientist, marketer, businessman, data analyst, researcher, or you are in any other profession, you need to play or experiment with raw or structured data. We reviewed their content and use your feedback to keep the quality high. Work collaboratively to determine the correct data type (quantitative or qualitative). The data are the areas of lawns in square feet. The data are discrete because the data can only take on specific values. 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. This section will describe a few of the most common methods. The color of hair can be considered nominal data, as one color cant be compared with another color. You should know how to manage your time and utilize it in the best way possible. Position 1 is less than the distance from G to H in Position 2. Quantitative data can be used for statistical manipulation. Often, people with strong positive or negative opinions may answer surveys, which can affect the results. . Press ENTER 2 more times (even the repeats). Instructions: Use the Random Number Generator to pick samples. Besides herself, Lisas group will consist of Marcierz, Cuningham, and Cuarismo. The data are discrete because the data can take on any value in an interval. We are interested in the average amount of money a part-time student spends on books in the fall term. Starting with that student, every 50th student is chosen until 75 students are included in the sample. To find the average GPA of all students in a university, use all honor students at the university as the sample. B. Two students carry three books, one student carries four books, one student carries two books, and one student carries one book. answer below. OC. Qualitative data are generally described by words or letters. 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. Question: CS State whether the data described below are discrete or continuous, and explain why. For example, suppose you have to do a phone survey. To choose a simple random sample from each department, number each member of the first department, number each member of the second department, and do the same for the remaining departments. All members of the four departments with those numbers are the cluster sample. We might make different choices of what we think is the best graph depending on the data and the context. The data are continuous because the data can only take on specific values . The ordinal data only shows the sequences and cannot use for statistical analysis. That is, once a member is picked, that member goes back into the population and thus may be chosen more than once. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. Those 100 students are the sample. You measure continuous data. The triangles show the position of the gate in relation to its closed position.