Question

What is the population standard deviation of this data set?*
2 4 4 5 7 8
A. 0.5
B. 4.8
C. 2
D. 02.19

Answer 1

Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

$\sqrt{4}$ = 2