Question

PLEASE HELP!

Complete the following steps to help find the standard deviation of the data set by hand.
1, 3, 5, 15, 2, 11, 12, 7
a) Find the mean value. (I have already done this, it is 7.)
b) Complete the table to find the deviations and the squared deviations. (I NEED HELP ON THIS THE MOST! Screenshot of table is attached.)
c) Find the sum of the squared deviations. SHOW YOUR WORK.
d) Find the standard deviation. Round your answer to the nearest tenth. SHOW YOUR WORK.

Answer 1

See Step-by-step

Explanation:

b)Table:

x x-Mean (x-Mean)^2

1 1-7=-6 36

3 3-7=-4 16

5 5-7=-2 4

15 15-7=8 64

2 2-7=-5 25

11 11-7=4 16

12 12-7=5 25

7 7-7=0 0

c)Find the sum of the squared deviations:

(36+16+4+64+25+16+25+0)/8=23.25

d)Find the standard deviation by finding the square root of 23.25

The answer is 4.8