Question

The marks obtained by 10 students in a test are 60 , 72 , 64, 56 , 52 , 71 , 54 , 62 and 59. Find the median of the marks

• A. 36
• B. 65
• C. 56
• D. 55

Answer 1

The correct option is C

56

There are 10 observations .

Arranging the data in Ascending order , we have 52,54,56,59,60,62,64,70,71,72 .

$\frac{1}{2}$ [${\frac{n}{2}}^{th}observation$ + $(\frac{n}{2}+1{)}^{th}$observation ]
= $\frac{1}{2}$ [${\frac{10}{2}}^{th}observation$ + $(\frac{10}{2}+1{)}^{th}$observation ]
= $\frac{1}{2}$ [ 5th observation + 6 th observation]
= $\frac{1}{2}$ (60 + 62)
= $\frac{1}{2}$ $\times$ 112
= 56