Question

HELP ME!!!!!!

The data represents the yearly salary, in thousands of dollars, for 9 managers.

{68, 54, 104, 183, 72, 84, 75, 108, 71}

What is the five-number summary?


A. Minimum = 54Q1= 69.5Median = 75Q3= 106Maximum = 183

B. Minimum = 54Q1= 72Median = 74.5Q3= 104Maximum = 183

C. Minimum = 54Q1= 71Median = 74.5Q3= 108Maximum = 183

D. Minimum = 54Q1= 70Median = 74.5Q3= 106Maximum = 183

Answer 1

A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183

Explanation:

Arranging the data set in order from least to greastest we get:

54, 68, 71, 72, 75, 84, 104, 108, 183

From this, we can see that the minimum value is 54 and the maximum value is 183.

Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median

To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).

Q1: 54, 68, 71, 72

68 + 71 = 139
139 ÷ 2 = 69.5

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Q3: 84, 104, 108, 183

104 + 108 = 212

212 ÷ 2 = 106

Option A is the only answer with all of these values, therefore, it is the answer.

hope this helps!