1.2 - Below we list several variables. Which of these variables are quantitative and which are qualitative?
Quantitative means that the measurement of the value gives an actual quantity that can mean “how much”, or “how many”. Whereas qualitative means we are simply recording into which of the categories the element falls. (Bowerman, O'Connell, Murphree, Orris, J. B. (2012). Essentials of Business Statistics 4th ed.). A. The dollar amount on an accounts receivable invoice.
This would be quantitative, because it is showing the actual dollar amount and is not grouping it into different categories. B. The net profit for a company in 2009.
This would fall under quantitative since seeing an actual number for a company and
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C. Television show classification.
Ordinal – Why? Because there is a reasoning behind the classifications. This allows the audience to see what kind of show they are going to watch. D. Personal computer ownership.
Nominative-Why? There is no real reason or ranking as to who owns a computer and who doesn’t’ and to why they do or they don’t. E. Restaurant rating.
Ordinal-Why? Because when critics rank restaurants it lets consumers know which ones have been chosen with the best food and the best service overall. Most people will really want to eat at restaurants ranked higher. F. Income tax filing status.
Nominal-Why? It is just showing a list of classifications of what people are not ranking them in any order. 3.3 – Calculate the mean, median, and mode of each of the following population of numbers.
A. 9, 8, 10, 10, 12, 6, 11, 10, 12, 8
Mean = 9+8+10+10+12+6+11+10+12+8 = 96
Mean = 9.6
Median = 6-8-8-9-10-10-10-11-12-12 = 10+10/2
Median = 10
Mode = 10 Because 10 is the number that appears the most in this group.
B. 110, 120, 70, 90, 90, 100, 80, 130, 140.
Mean = 110+120+70+90+90+100+80+130+140 = 930/9= 103.33
Mean = 103.33
Median = 70-80-90-90-100-110-120-130-140 = 100
Median = 100 this is 100 because it is the number that meets in the middle.
Mode = 90 because it shows up twice
1. For the following scores, find the mean, median, and the mode. Which would be the most appropriate measure for this data set?
Measurement that shows the order or rank of items. An example of ordinal could be ranking places in a contest, or test scores.
b) In order to calculate the mean or average for the governors and CEO’s, I added together all the figures and divided that sum by 4 since there
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
1. By hand, compute the mean, median, and mode for the following set of 40 reading scores:
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
a. Nominal: This is a measurement that has a number assigned to show something or someone else, an example of this would be one’s social security number.
Question 4: The mode is the most frequently occurring value in a set of data so here the mode is 178 so the answer is e.
Answer: The variable is nominal because the question is asking for what type of diabetes a person has and is put into 3 categories.
6. When do the mean and median have the same value? 7. Describe the relationship between variance and standard deviation.
3. In one elementary school, 200 students are tested on the subject of Math and English. The table below shows the mean and standard deviation for each subject.
Ordinal data has the variables that include rank and satisfaction. An everyday example of ordinal data can be surveys.
Based on the given sample of student test scores of 50, 60, 74, 83, 83, 90, 90, 92, and 95 after rearranging them from least to greatest. As the mean is based on the average of sum, the average of this sample is 79.67 or 80. The mode refers to numbers that appear the most in a sequence and in this case 83 and 90 both appear twice. Range calculates the difference between the largest and smallest number, which are 95 and 50 which have a difference of 45. The variance is the difference between the sum of squares divided by the sample size, which is the number in the sample minus one (Hansen & Myers, 2012), meaning it takes each number of the set and subtracts
Median: 3, 5, 11, 12, 13, 15, 19, 35, 42, 65 = 13 + 15 = 28/2 = 14
Determining the mean and the median of the checking accounts for Century National Bank, we are trying to find the single value that will represent all 60 checking accounts in our sample. That single value will be measure of central tendency.