Find the median of the following data:
Class
0-5
5-10
10-15
15-20
20-25
25-30
30-35
35-40
5
6
10
10
25
22
18
5
Frequency
Answers
Answered by
1
Answer:
ANSWER
Form a cumulative frequency table:
x
frequency (f)
cumulative frequency
(cf)
0-5
2
2
5-10
4
2 + 4 = 6
10-15
6
6 + 6 = 12
15-20
8
12 + 8 = 20
20-25
10
20 + 10 = 30
n = ∑F=30
2
n
=
2
30
=15
Median = l+(
f
2
n
−cf
×h)
i = lower limit of the median class = 15
n =∑F = total number of frequency = 15
So, the median class is 15-20
Cf = cumulative frequency of the class preceding the median class = 20
f = frequency of the median class = 8
h = class width = 5
Therefore, Median = l+(
f
2
n
−cf
×h)
Median = 15+(
8
2
15
−20
×5)
= 15+(
8
−12.5
×5)
= 15 - 7.8125
= 7.18 ≈ 7
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