Using and Interpreting Concepts

Question

Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.

Judicial System The responses of a sample of 34 young adult United Kingdom males in custodial sentences who were asked what is affected by such sentences (Adapted from User Voice)

Mental health: 8

Trust: 3

Education: 8

Personal development: 5

Family: 3

Future opportunities: 3

Other: 4

Accepted Answer

The responses of a sample of 30 employees in a mid-sized company were collected as they were asked which aspect of the workplace was most negatively affected by poor management. We're given a data set here of different categories. Find the mean, median and mode of the data. If any measure cannot be found or does not represent the center of data, explain why. Let's go ahead and find our values. We have a data set 679232 and 1. We can put this in order. As 122. 367 and 9. Let's find our mean first. The mean will be the sum of all of our values divided by the total. So add all of our bodies together and divide by 7. We get 30 divided by 7. Which is approximately 4.3. Our median will be the middle of the data set, which is our 4th value because this is an odd number data set. That means our median is 3. Our mode then is the value that occurs the most. In this case, 2 occurs the most, so our mode will be 2. And so if you look at all of our values. Our mean is going to be affected by the 9, which means that increases our value. Our median is the middle value and is not really affected by outliers as much. And the mode shows the most common category selected. So these three values represent. The sinner in different ways. So we have all three of our values, mean being 4.3, median being 3, and mode being 2. OK, I hope to help you solve the problem. Thank you for watching. Goodbye.

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Key Concepts

Mean

Median

Mode

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