Question

Ten observation 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43 are written is ascending order. The media of the data is 24. The mean of the data is _________.

• A. 20
• B. 23.9
• C. 25
• D. 27

Answer 1

The correct option is B 23.9

As median of the 10 number is 24.
So,1/2(5th number+6th number)=24
$\frac{x+1+2x-13}{2}=24$
$\frac{3x-12}{2}=24$
$3x=60$
$x=20$
So, 5th number=x+1=21
6th number=2x-13=27
So, mean=
$\frac{6+14+15+17+21+27+30+32+34+43}{10}=23.9$
Answer (B) 23.9