Answer:
a.) Population mean, = 6.11
b.) Population Standard deviation, = 1.67
Population Variance, = 2.78
Step-by-step explanation:
Class Mid point Frequency
2 - 4 3 20 60 -3.11 193.58
4 - 6 5 60 300 -1.11 73.93
6 - 8 7 80 560 0.889 63.23
8 - 10 9 20 180 2.89 167.04
total number of elements = 20 + 60 + 80 + 20 = 180
Population size, N = 180
a.) = 60 + 300 + 560 + 180 = 1100
Population mean, =
b.) = 193.58 + 73.93 + 63.23 + 167.04 = 497.78
Population Standard deviation,
=
Population Variance, = 2.781