Question

given the data set 47, 61, 53, 59, 75, 63, 84, 52. what happens to the mean if 91 is added to the data set? enter the answer. the mean increases to

Explanation:

Step1: Calculate the original mean

The sum of the original data set \(47 + 61+53 + 59+75+63+84+52=494\), and there are \(n_1 = 8\) data - points. The original mean \(\bar{x}_1=\frac{494}{8}=61.75\).

Step2: Calculate the new mean

Add 91 to the sum, so the new sum is \(494 + 91=585\), and the number of data - points is \(n_2=9\). The new mean \(\bar{x}_2=\frac{585}{9}=65\).

Answer:

65