Given the following scores calculate the variance and standa

Given the following scores, calculate the variance and standard deviation.²

4, 7, 3, 1, 5

X

(X-M)

(X-M) ²

7

(a)

(b)

5

1

1

4

0

0

3

-1

1

1

-3

9

n = 5

M = 4

Variance = (c)

Standard Deviation = (d)

(a) =

(b) =

(c) =

(d) =

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Solution

a) = 7-4=3

b)= 3^2 =9

c) = 9+1+0+1+9 / 5= 4

d)= 2