Question

find the value of p if the median of the following frequency distribution is 50

Answer 1

find the value of p if the median of the following frequency distribution is 50
class- 20-30 frequency: 25
30-40 15
40-50 p
50-60 6
60-70 24 
70-80 12
80-90 8

Answer 2

Answer:

Step-by-step explanation:

Class interval   Frequency  CF

20-30                 25               25

30-40                  15                40

40-50                  p                  40+p

50-60                  6                  46+p

60-70                  24                 70+p

70-80                  12                  82+p

80-90                  8                    90+p

L=50, F = 6, CF= 40+p, H = 10

Median = L + (N/2-CF)/F × H

= 50 + (90+p/2-[40+p])/6 × 10

= 50 + (90+p/2-80-2p/2)/6 × 10

50 = 50 + (10-p/2)/6 × 10

0 = 10-p/12 × 10

0 = 10 - p

p = 10