Question

question 13 of 14 which of the following best describes the change in the mean when 894 is included in the data set below? 34, 75, 26, 81, 65, 38, 49 a. it decreases. b. it stays the same. c. it increases.

Explanation:

Step1: Calculate original mean

The sum of the original data set $34 + 75+26 + 81+65+38+49=368$. There are $n = 7$ data - points. The original mean $\bar{x}_1=\frac{368}{7}\approx52.57$.

Step2: Calculate new mean

Add 894 to the sum, so the new sum is $368 + 894=1262$. And the new number of data - points is $n = 8$. The new mean $\bar{x}_2=\frac{1262}{8}=157.75$.

Step3: Compare means

Since $157.75>52.57$, the mean increases.

Answer:

C. It increases.