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Calculate the variance of 2, 4, 7, 8 and 9

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Mathematics WAEC 2019

Calculate the variance of 2, 4, 7, 8 and 9 

  • 7.2
  • 6.8 checkmark
  • 3.5
  • 2.6

The correct answer is: B

Explanation

 

x

2

4

7

8

9

(\(\bar{x} - \bar{x}\))

-4

-2

1

2

4

 

(\(\bar{x} - \bar{x})^2\)

16

4

1

4

9

_________

\(\sum (x - x)^2\) = 34

 

\(\bar{x} = \frac{2 + 4 + 7 + 8 + 9}{5} = 6

variance = \(\frac{34}{5}\)

= 6.8

 

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