Question

1. For the following scores, find the (a) mean (b) median (c) sum of squared deviations (d) variance (e) standard deviation 2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0

Answer 1

Answer:

a)to find mean

(sum the scores, divide by the number of scores) that is

( 2+ 2 + 0 + 5 +1 +, 4,+ 1, + 3, + 0,+ 0+ , 1, +4, + 4, + 0,+ 1, + 4, +3,+ 4, + 2,+ 1, +0)/21

= 42/21

= 2

b)

median means order the scores numerically then you choose the score in the middle and that is 2

c)sum of squared deviations is done by take difference between each score and the mean, square the result That is

Summation (xbar - x)²

add the final answer is 56

d)variance is gotten by taking sum of squared deviations, divide by (n-1))=

Summation (xbar - x)²/n-1

=2.8

e)standard deviation is square root of variance)= √V = 1.6