Question

from wikipedia, the ages of seven of the nine justices of the u.s. supreme court, as of september 9, 2013, are as follows, in years. complete parts (a) through (c) below. 58 63 65 77 77 59 53 a. find n. n = 7 (type a whole number.) b. compute $sum x_{i}$. $sum x_{i}=452$ (type an integer or a decimal. do not round.) c. determine the sample mean. the sample mean is years. (type an integer or a decimal. round to one decimal place as needed.)

Explanation:

Step1: Recall sample - mean formula

The formula for the sample mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$.

Step2: Substitute known values

We know that $n = 7$ and $\sum_{i=1}^{n}x_{i}=452$. So, $\bar{x}=\frac{452}{7}$.

Step3: Calculate the result

$\frac{452}{7}\approx64.6$.

Answer:

$64.6$