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Chapter 7: Q. 2.12 (page 489)

The mean of this distribution (don鈥檛 try to find it) will be

a. very close to the median.

b. greater than the median.

c. less than the median.

d. You can鈥檛 say, because the distribution isn鈥檛 symmetric.

e. You can鈥檛 say, because the distribution isn鈥檛 Normal.

Short Answer

Expert verified

Option C: The mean of this distribution (don鈥檛 try to find it) will be less than the median.

Step by step solution

01

Given information

The following options are

a. very close to the median.

b. greater than the median.

c. less than the median.

d. You can鈥檛 say, because the distribution isn鈥檛 symmetric.

e. You can鈥檛 say, because the distribution isn鈥檛 Normal.

02

Explanation for correct option

Because most dots are on the right side of the dot and there is a tail of fewer dots to the left in the dot plot, the dot plot is skewed to the left. The uncommon values have little impact on the median. The mean would be smaller than the median since there are unusually small values.

As a result, the best solution is (c)

03

Explanation for incorrect option

(a)The mean of this distribution (don鈥檛 try to find it) will not be very close to the median.

(b) The mean of this distribution (don鈥檛 try to find it) will not be greater than the median.

(d)The mean of this distribution (don鈥檛 try to find it) will not be you can鈥檛 say, because the distribution isn鈥檛 symmetric.

(e) The mean of this distribution (don鈥檛 try to find it) will not be you can鈥檛 say, because the distribution isn鈥檛 Normal.

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