Question

13. Find out first and third quartile from the following series:
Size
0-10
10-20
20-30
30-40
40-50
F
44
60
36
44
18​

Answer 1

Size 0-10. 10-20. 20-30. 30-40. 40-50

F. 44. 60. 36. 44. 18

Cf. 44. 104. 140. 184. 202

Q1 = n/4th term = 202/4 = 50.5th term

Q1 = l + (n/4-cf)/f×i

Q1 = 10 +(50.5-44)/60 × 10

= 10+(6.5)/6 =11.08 ans.

Q3 = 3(n/4) th term = 3(202/4) = 151.5 th term

Q3 = 30+(151.5-140)/44 × 10

Q3 = 30+(11.5)/44×10

= 30+ 2.61 = 32.61 ans.