Question

34,37,53,55,x,x+2,77,83,89,100 and the median is 63 find the value of x and hence find the mean

Answer 1

Here,

Number of observations=10

Therefore,

Median=(5th term+6th term)/2

=>63=(x+x+2)/2

=>63×2=x+x+2

=>2x+2=126

=>2x=126-2

=>2x=124

=>x=124/2

=>x=62

Therefore,

5th term=62

And 6th term=62+2=64

We know,

Mean=Sum of observations÷Number of observations

=34+37+53+55+62+64+77+83+89+100÷10

=654÷10=65.4