Question

find mid value 0_5,5_10,10_15,15_20,20_25,25_30​

Answer 1

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

Answer 2

Answer:

For the class interval 0-5

Mid Value = 0+5 ÷ 2

Mid Value = 5 ÷ 2

Mid Value = 2.5

For the class interval 5-10

Mid Value = 5+10 ÷ 2

Mid Value = 15 ÷ 2

Mid Value = 7.5

For the class interval 10-15

Mid Value = 10+15 ÷ 2

Mid Value = 25 ÷ 2

Mid Value = 12.5

For the class interval 15-20

Mid Value = 15+20 ÷ 2

Mid Value = 35 ÷ 2

Mid Value = 17.5

For the class interval 20-25

Mid Value = 20 + 25 ÷ 2

Mid Value = 45 ÷ 2

Mid Value = 22.5

For the class interval 25-30

Mid Value = 25+30 ÷ 2

Mid Value = 75 ÷ 2

Mid Value = 37.5