Consider a sample with data values of 19, 20, 5 ,8 , and 18 . Compute...

Question

Question

Consider a sample with data values of 19, 20, 5 ,8 , and 18 .

Compute the variance.

(to 1 decimal)

Compute the standard deviation.

(to 2 decimals)

math Statistics-And-Probability

Answer 1

Answer #1

Solution :

n = 5

$\bar x$ = $\sum x / n$ = (19 + 20 + 5 + 8+18) / 5 = 70 / 5 = 14

s² = $\sum$ (x - $\bar x$ )² / n - 1

= (19 - 14)² + (20 - 14)² + (5 - 14)² + (8 - 14)² + (18 - 14)² / 5 - 1

= 194 / 4

= 48.5

variance = 48.5

standard deviation = $\sqrt$ variance = $\sqrt$ 48.5 = 6.96

Answer 2

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