Question

If 10, 13, 15, 18, x+1, x+3, 30, 32, 35, 41 are ten observations in an ascending order with median 24, find the value of x.

Answer 1

Number of terms = 10

the median will be mean of 5th and 6th terms.
$24=\frac{1}{2}(x+1+x+3)$
$\to 24\times 2=2x+4$
$48=2x+42x=48-42x=44x=\frac{44}{2}x=22$