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What is the standard deviation of 5,7,9,11,13

1 Answer

2 votes

Answer: √8

Explanation:

Step 1: Find the mean.

(5+7+9+11+13)/5 --> 45/5 = 9

Step 2: Find each score's deviation from the mean.

5-9= -4

7-9= -2

9-9= 0

11-9= 2

13-9= 4

Step 3: Square each deviation from the mean.

-4^2 = 16

-2^2= 4

0^2 = 0

2^2 = 4

4^4 = 16

Step 4: Find the sum of squares.

16+4+0+4+16 = 40

Step 5: Find the variance.

40/5 = 8

Step 6: Find the square root of the variance.

the square root of 8 is √8

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