Question

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. $sum_{i = 1}^{5}(x_i)^2$

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:

\(518\)