The data given below presents number of households corresponding to the number of children residing there in.
|
Number of children |
Number of household |
|
0 |
8 |
|
1 |
7 |
|
2 |
3 |
|
3 |
8 |
|
4 |
4 |
What is the difference (correct up to two decimal places) between the mean and the median of the number of the children?
Answer & explanation
Correct answer: option 3
Total number of household = 8 + 7 + 3 + 8 + 4 = 30
Total number of children = 0 × 8 + 1 × 7 + 2 × 3 + 3 × 8 + 4 × 4
= 0 + 7 + 6 + 24 + 16
= 53
Mean = \(\frac{53 }{30}\) = 1.77
As Total number of household = 30 , Which is even number .
So , Median = \(\frac{(n/2)th + (n/2 + 1 )th }{2}\)
= \(\frac{15th + 16th }{2}\)
= \(\frac{1 + 2 }{2}\)
= 1.5
Required difference b/w mean and median = 1.77 - 1.5 = 0.27