Question

Will the following list have a large or small standard deviation?

7, 6, 5, 8, 9, 1, 0, 4, 3, 2

A) small
B) not enough information
C) large

Answer 1

A. Small

Explanation:

Answer 2

the standared deviation =2.87 so it is small

Explanation:

to calculate the standard deviation of those numbers:

1- Work out the Mean (the simple average of the numbers)

(7+6+5+8+9+1+0+4+3+2)/10=4.5

Then for each number: subtract the Mean and square the result.

[(7 - 4.5)^2 + ... + (2 - 4.5)^2]/10=8.25

√8.25=2.87≅3