Question

find the median of given data 24, 23,a ,a-1, 10 , 16, if its mean is 22

Answer 1

Answer:

23.5

Step-by-step explanation:

from the given data mean = 22

mean = sum of given data÷ no.of given data

22= (24+23+a+a-1+10+16)÷6

22=(72+2a)÷6

22×6=72+2a

132= 72+2a

132-72=2a

2a= 60

a=30

now data is 24,23,30,29,10,16

Ascending order 10,16,23,24,29,30 (n=6)

here,no.of terms is even so ((n/2)+((n+2)/2))/2

(23+24)÷2= 23.5

median = 23.5