Question

3. Find the median from the following data: X : 5 10 15 20 25 f: 2 4 6 8 10 ​

Answer 1

answer:

7

Step-by-step explanation:

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

n/2= 30/2= 15

Median = l+{[(n/2-cf)/f]×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+{[(n/2-cf)/f]×h}

Median = 15+{[(15/2-20)/8]×5}

=15+{(-12.5/8)×5}

=15-7.8125

=7.18=>7