the following is a list of 5 measurements. 14, 9, 6, 13, 6 suppose that these 5 measurements are…

the following is a list of 5 measurements. 14, 9, 6, 13, 6 suppose that these 5 measurements are respectively labeled $x_1,x_2,cdots,x_5$. compute the following. $sum_{i = 1}^{5}(x_i)^2$

the following is a list of 5 measurements. 14, 9, 6, 13, 6 suppose that these 5 measurements are respectively labeled $x_1,x_2,cdots,x_5$. compute the following. $sum_{i = 1}^{5}(x_i)^2$

Answer

Explanation:

Step1: Identify each (x_i) value

(x_1 = 14), (x_2=9), (x_3 = 6), (x_4 = 13), (x_5=6)

Step2: Square each (x_i) value

((x_1)^2=14^2 = 196), ((x_2)^2=9^2 = 81), ((x_3)^2=6^2 = 36), ((x_4)^2=13^2 = 169), ((x_5)^2=6^2 = 36)

Step3: Sum the squared values

(\sum_{i = 1}^{5}(x_i)^2=196 + 81+36 + 169+36) (=518)

Answer:

(518)