Answer to Question #215555 in Statistics and Probability for Prem

Question

A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations in thousands of connected users.

17.2 22.1 18.5 17.2 18.6 14.8 21.7 15.8 16.3 22.8

24.1 13.3 16.2 17.5 19.0 23.9 14.8 22.2 21.7 20.7

13.5 15.8 13.1 16.1 21.9 23.9 19.3 12.0 19.9 19.4

15.4 16.7 19.5 16.2 16.9 17.1 20.2 13.4 19.8 17.7

19.7 18.7 17.6 15.9 15.2 17.1 15.0 18.8 21.6 11.9

Answer 1

$$\bar{x}=\dfrac{1}{n}\displaystyle\sum_{i=1}^nx_i=17954$$

$$s^2=\dfrac{1}{n-1}\displaystyle\sum_{i=1}^n(x_i-\bar{x})^2= 9968248.9795918$$

$$s=\sqrt{s^2}=3157.2534$$