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Question

The table below gives the time (in seconds) 30 students take to solve a question.
Time Number of students20−60660−1004100−14010140−1804180−2206

A
100
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B
120
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C
110
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D
130
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Solution

The correct option is B 120
Time Cumulative frequency206066010010100140201401802418022030

Here, N = 30.
N2=15
Median class is 100-140.

The formula for median of a grouped data is given by,

M = L + [n2 cff]×h
where,
M = median of the grouped data
L = Lower limit of median class
n = Sum of frequencies
cf = Cumulative frequency of the class preceding the median class
f = frequency of the median class
and, h = class size

Substituting the given values, we get:

Median = 100 + 302 1010×40= 100 + 20=120

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