Question

median of the following x-5, 10, 15, 25, 30 . y- 4, 6, 7, 3 ,5 . option : a)10 , b) 15 , c) 25, d) 30​

Answer 1

Answer:

c=7

Step-by-step explanation:

Correct option is

C

7

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