The ages of students in a small primary school were recor...
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.
7.725
6.225
7.5
6.5
Correct answer is A
N+12=107+12 th = 54th value i.e the median age is in the interval "7 - 8" (29 + 25 = 54)
Median = 1m+(∑f/2−fbfm)c
lm=lower class boundary of the median age = 6.5
∑f = 107
fb = sum of all frequencies before the median age = 29
fm=frequency of the median age = 40
c = class width = 8.5 - 6.5 = 2
Median = 6.5 + (107/2−2940) x 2
= 6.5 + (53.5−2940) x 2
= 6.5 + (24.540) x 2
= 6.5 + 1.225
∴ median age = 7.725
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