Question

If the mean of the following distribution is 24, find the value of ‘a’: Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 Number of students 7 a 8 10 5

Answer 1

Step-by-step explanation:

median = 24

cumulative frequency

 0 - 105 5  10 - 2025 30  20 - 30p 30+p  30 - 408 38+p  40 - 50 745+p 

20<24<30 N = (45+P)

∴l=20   F=30

f=(p)

n=10

median=l+f[(2N)−F]×h.

24=20+(p)[(245+p)−30]×10

104=2(p)p−15

4p=5p−75

⇒p=75

HOPE THIS WILL HELP YOU