8.) Consider the numbers 2 4 (a) Compute the mean, median, and mode y (b) If the

Question

8.) Consider the numbers 2 4 (a) Compute the mean, median, and mode y (b) If the numbers represent codes for the colors of T-shirts ordered from a catalog, (c) If the numbers represent one-way mileages for trails to different lakes, which (d) Suppose the numbers represent survey responses from 1 to 5, with 1 = disagree which average(s) would make sense? average(s) would make sense? strongly, 2 = disagree, 3 = agree, 4 agree strongly, and 5 = agree very strongly. Which averages make sense? Page |1

Explanation / Answer

Solution:

Given numbers are

2 3 4 5 5

a) mean = x/ n = 2+ 3+ 4+ 5+ 5/5 = 19/5 = 3.8

Median:

given the following data set:

2   3   4   5   5

The median is the middle number in a sorted list of numbers. So ordering the data from least to greatest, we get:

2   3   4   5   5   

So, the median is 4 .

Mode:

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

2   3   4   5   5   

We see that the mode is 5.

b) If the numbers represented codes for the colors of T-shirts ordered from a catalog, the mode is the average that would make sense. Becuase here mode tells which color t-shirt ordered more.

c) Mean, median and mode will make sense.

d) Median and mode will make sense here.

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