The ages of students in a small primary school were recorded in the table below.
Age | 5-6 | 7-8 | 9-10 |
Frequency | 29 | 40 | 38 |
Estimate the median.
A. 7.725
B. 6.225
C. 7.5
D. 6.5
Correct Answer: A
Explanation
th = 54th value i.e the median age is in the interval "7 - 8" (29 + 25 = 54)
Median = c
=lower class boundary of the median age = 6.5
= 107
= sum of all frequencies before the median age = 29
=frequency of the median age = 40
c = class width = 8.5 - 6.5 = 2
Median = 6.5 + x 2
= 6.5 + x 2
= 6.5 + x 2
= 6.5 + 1.225
median age = 7.725