First slide

Introduction to statistics

Question

The following information relates to a sample of size 60: $Σ x^{2} = 18000, Σ x = 960 . The variance is$

Easy

A

6.63
B

16
C

22
D

44

Solution

$\begin{matrix} Variance = \frac{Σ x_{i}^{2}}{n} - {(\frac{Σ x_{i}}{n})}^{2} \\ = \frac{18000}{60} - {(\frac{960}{60})}^{2} \\ = 300 - 256 = 44 \end{matrix}$

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