In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x.  Calculate the variance of 2, 4, 7, 8 and 9 

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x.  Calculate the variance of 2, 4, 7, 8 and 9 

A.

7.2

B.

6.8

C.

3.5

D.

2.6

Correct answer is B

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