Use this frequency distribution to calculate the 1 Mean 2 Me

Use this frequency distribution to calculate the:

1) Mean,

2) Median,

3) Mode of these X scores.

Score X    f

        19 4

        20 7

        21 5

        22 6

        23 1

Question 20 options:

Mean = 20.696, Median = 21.000, Mode = 20.000

Mean = 22.005, Median = 23.000, Mode = 21.050

Mean = 23.000, Median = 20.000, Mode = 22.000

Mean = 22.800, Median = 21.657, Mode = 24.000

Solution

Answer : a) Mean = 20.696, Median = 21.000, Mode = 20.000

Mean = ( 19*4+20*7+21*5+22*6+23*1) / (4+7+5+6+1) = 20.696

Total numbers = 23

Therefore, in ascending order, 12th number will be the median i.e 21

Hence,

Median =21

Mode = 20    {Highest number of occurances }