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. Discrete and Continuous Data - Definitions, Examples - VEDANTU 1. Arrow over to PRB. Ans: Ducks in a pond are discrete data because the number of ducks is a finite number. 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. In other words, each sample of the same size has an equal chance of being selected. O A. You can email the site owner to let them know you were blocked. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers. Rational Numbers Between Two Rational Numbers, XXXVII Roman Numeral - Conversion, Rules, Uses, and FAQs, Find Best Teacher for Online Tuition on Vedantu. The option "B" is correct i.e. It is classified into two broad categories: qualitative data and quantitative data. State whether the data described below are discrete or continuous, and explain why. Suppose ABC College has 10,000 part-time students (the population). Step 2: Discrete and continuous data. When a car is randomly selected, it is found to have 3 wipers. A continuous data set because there are infinitely mamy possible values and those values cannot be counted. Discrete data is data that can only take certain values, while data that can take any value is continuous data. There are distinct or different values in discrete data. 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. These data cant be broken into decimal or fraction values. pair starts due east and then turns 50 toward north. Q: Classify the Following as Discrete and Continuous Data. So is the case of statistics too. Ungrouped frequency distribution of discrete data is performed against a single value. The data will be quantitative, say 2+3 (=5) apples. The data are discrete because the data can take on any value in an interval. Then use simple random sampling to choose proportionate numbers from the first department and do the same for each of the remaining departments. Question: CS State whether the data described below are discrete or continuous, and explain why. 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 the survey is done well, the answer is yes. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. A sample that is not representative of the population is biased. Two positions of an open gate are shown. I want to study the topic of Statistics for my college-level exams? 8. 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. Dominic Lusinchi, President Landon and the 1936 Literary Digest Poll: Were Automobile and Telephone Owners to Blame? Social Science History 36, no. 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. Statistics involves organizing, analyzing, interpreting, and representing data. 3. 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). You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Click to reveal A bar graph is appropriate to compare the relative size of the categories. A discrete data set because there are a finite number of possible values. Types of soups, nuts, vegetables and desserts are qualitative data because they are categorical. Also, the sample represents only those who showed up to the event earlier than the majority. A pie chart cannot be used. Question: 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. 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. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. You sample five gyms. First, we use convenience sampling and survey ten students from a first term organic chemistry class. The prison populations of different countries ha Choose the correct answer below. The numbers of programs installed on various computers ANSWERA.) State whether the data described below are discrete - Course Hero Both samples are biased. 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. Data from www.bookofodds.com/Relationsh-the-President. For example, call-in surveys are invariably biased, because people choose to respond or not. For example, if you randomly sample four departments from your college population, the four departments make up the cluster sample. categorical, quantitative discrete or quantitative continuous. Doreen's sample will be different from Jung's sample. This variability in samples cannot be stressed enough. 24 people said theyd prefer more talk shows, and 176 people said theyd prefer more music. A student interviews classmates in his algebra class to determine how many pairs of jeans a student owns, on the average. Hint: Data that are discrete often start with the words "the number of." the number of pairs of shoes you own. The data are discrete because the data can take on any value in an interval. You can go for a business analyst or a statistician or a financial analyst or even an economist etc. Notice how much larger the percentage for part-time students at Foothill College is compared to De Anza College. The second sample is taken using a list of senior citizens who take P.E. When a sampling bias happens, there can be incorrect conclusions drawn about the population that is being studied. The result of the rolling is a dice is 1, 2, 3, 4, 5, 6, 7, and 8. Points in a graph of the discrete function remain unconnected. You should ask the doubt there and then clear it, analyze it and work on it. 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. Data are individual items of information that come from a population or sample. 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. 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. 1: 23-54 (2012), ssh.dukejournals.org/content/36/1/23.abstract (accessed May 1, 2013). This section will describe a few of the most common methods. It would be great if you already have a bit of knowledge about a course before opting for it. a. Conduct the survey by sitting in Central Park on a bench and interviewing every person who sits next to you. Self-funded or self-interest studies: A study performed by a person or organization in order to support their claim. As a class, determine whether or not the following samples are representative. State whether the data described below are discrete or - JustAnswer 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. The data are continuous because the data can take on any value in an interval . The data are discrete because the data can take on any value in an interval. The size of a sample (often called the number of observations) is important. 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. b. Quantitative data can be used for statistical manipulation. The students spend the following amounts: $180; $50; $150; $85; $260; $75; $180; $200; $200; $150. Whenever you face any problem the best solution is consulting the concerned teacher, you should never hesitate to ask for doubts. O C. 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. Most of these students are, more than likely, paying more than the average part-time student for their books. Look at Figures \(\PageIndex{3}\) and \(\PageIndex{4}\) and determine which graph (pie or bar) you think displays the comparisons better. A variable is said to be continuous if it can take on any value in an interval. The continuous variable can take any value within a range. Quantitative data, on the other hand, is one that contains numerical values and uses a scope. The station uses convenience sampling and surveys the first 200 people they meet at one of the stations music concert events. Making a schedule/timetable or studying together with your peers may help you in focusing and keep you active. Press ENTER. The amount a person grew (in height) in a year. Position 1 is less than the distance from G to H in Position 2. The random numbers 0.94360 and 0.99832 do not contain appropriate two digit numbers. Statistics and Probability questions and answers, CS State whether the data described below are discrete or continuous, and explain why. What type of data does this graph show? A defective counting device can cause a nonsampling error. Determine whether the given value is from a discrete or continuous data 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. For instance, hair color might be black, dark brown, light brown, blonde, gray, or red. Performance & security by Cloudflare. The number of books in a rack is a finite countable number. True random sampling is done with replacement. For the purpose of analysis, data are presented as the facts and figures collected together. A.The data are continuous because the data can only take on the data can only take on specificvalues. Be aware that as you take data, your data may vary somewhat from the data someone else is taking for the same purpose. 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. Your IP: Every value within a range is included in continuous data. In reality, a sample will never be exactly representative of the population so there will always be some sampling error. Be aware that many large samples are biased. A. Besides simple random sampling, there are other forms of sampling that involve a chance process for getting the sample. . We might make different choices of what we think is the best graph depending on the data and the context. The two-digit number 14 corresponds to Macierz, 05 corresponds to Cuningham, and 04 corresponds to Cuarismo. This particular bar graph in Figure \(\PageIndex{4}\) can be difficult to understand visually. In each form of random sampling, each member of a population initially has an equal chance of being selected for the sample. Different types of data are used in research, analysis, statistical analysis, data visualization, and data science. The color of hair can be considered nominal data, as one color cant be compared with another color. You sample five houses. 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. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. A large ship is sailing between three small islands. Working with data requires good data science skills and a deep understanding of different types of data and how to work with them. They may be related (correlated) because of their relationship through a different variable. Small letters like \(x\) or \(y\) generally are used to represent data values. The Pareto chart has the bars sorted from largest to smallest and is easier to read and interpret. You'll find career guides, tech tutorials and industry news to keep yourself updated with the fast-changing world of tech and business. Show Less. The data are continuous because the data can take according to measurement accuracy, it can be significantly subdivided into smaller sections. 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. Procrastination isnt even the last option if you are preparing for a statistics exam. ), Education Level (Higher, Secondary, Primary), Total numbers of students present in a class, The total number of players who participated in a competition. Q: State whether the data below are discrete or continuous, explain why. The key difference between discrete and continuous data is that discrete data contains the integer or whole number. There are no strict rules concerning which graphs to use. It also could not be used if the percentages added to less than 100%. (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.) The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them. In some situations, having small samples is unavoidable and can still be used to draw conclusions. These data take on only certain numerical values. Have some sleep, its important. B. . 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 discrete because the data can only take on specific . Suppose Doreen and Jung both decide to study the average amount of time students at their college sleep each night. Determine the correct data type (quantitative or qualitative) for the number of cars in a parking lot. For this example, suppose Lisa chooses to generate random numbers from a calculator. The data are continuous because The data . Continuous data: When numerical data has . 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. It is classified into two broad categories: qualitative data and quantitative data. OD. Therefore this is discrete data. O A. This pie chart shows the students in each year, which is qualitative data. The percent columns make comparing the same categories in the colleges easier. , i.e. Opinion poll posted online at: www.youpolls.com/details.aspx?id=12328 (accessed May 1, 2013). Your answer is correct. B. Number the population 120,000 and then use a simple random sample to pick a number that represents the first name in the sample. To four decimal places, 9/25 = 0.3600 and 9/24 = 0.3750. C. 2013. State whether the data described below are discrete or continuous, and explain why: . The graph in Figure \(\PageIndex{5}\) is a Pareto chart. ), 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. This category contains people who did not feel they fit into any of the ethnicity categories or declined to respond. Grouped distribution of continuous data tabulation frequencies is performed against a value group. Sampling without replacement instead of sampling with replacement becomes a mathematical issue only when the population is small. In this situation, create a bar graph and not a pie chart. The volume of cola in a can is 11.8 oz. Weights are quantitative continuous data because weights are measured. You may wrap around (go back to the beginning). Doreen and Jung each take samples of 500 students. Many of these students are taking first term calculus in addition to the organic chemistry class. 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. This is true even when the samples are well-chosen and representative of the population. You measure continuous data. You can specify conditions of storing and accessing cookies in your browser. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachers. 10. 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). Number of bacteria in a petri dish is 12,120. The list of fruit is nominal. Required fields are marked *. answer below. All data that are the result of measuring are quantitative continuous data assuming that we can measure accurately. a chemical reaction comma repeated several times Choose the correct This site is using cookies under cookie policy . 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. Still, continuous data stores the fractional numbers to record different types of data such as temperature, height, width, time, speed, etc. Why or why not? 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). 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? Now, suppose we take a third sample. Qualitative or Quantitative? Discrete or Continuous? | Ching-Chi Yang discrete because the data can only. The data are continuous because the data can only take on specific values. Qualitative data are generally described by words or letters. The term discrete means distinct or separate. For example, you can not have a natural order for apple, orange, and banana. The distance from G to H in The numbers of majors offered by colleges Choose the correct answer below. 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. If there is a repeat press ENTER again. Gathering information about an entire population often costs too much or is virtually impossible. Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). Difference Between Continuous and Discrete Data, Questions on Discrete Data Continuous Data.