Question

Below is the frequency distribution of the score of 40 learners. COMPUTE THE mean,median and mode. (10 points)

Class interval: frequency
56-63 1
48-55 10
40-47 12
32-39 6
24-31 3
16-23 8

Answer 1

Answer:

Mean = 6.66

Median = 7

Mode = 7.68

Step-by-step explanation:

According to the Question,

• Given That, the frequency distribution of the score of 40 learners.  

Class interval   frequency

  56-63                    1

  48-55                   10

  40-47                   12

  32-39                    6

  24-31                     3

  16-23                     8

1). Mean = (Sum of all Observation) / (number of observation)

Mean = 40/6 = 6.66

2) For Median, If there are two number in the middle then you need to find their mean.  1  3   6   8  10  12  middle numbers are 6 and 8.

Median = (6+8) / 2 = 7

3) Mode = 3 × Median - 2 × Mean

Mode = 3×7 - 2×6.66

Mode = 7.68