Question

Find the median of the given values:
26, 56, 32, 33, 60, 34, 17, 29, 45, 63

• A. 39.5
• B. 33.5
• C. 33
• D. 47

Answer 1

The correct option is B 33.5

Given data:
26, 56, 32, 33, 60, 34, 17, 29, 45, 63

Data in ascending order:
17, 26, 29, 32, 33, 34, 45, 56, 60, 63

$(\frac{n}{2}{)}^{th}$ term = $(\frac{10}{2}{)}^{th}$ term
= 5${}^{th}$ term = 33

$(\frac{n}{2}+1{)}^{th}$ term = $(\frac{10}{2}+1{)}^{th}$term
= 6${}^{th}$ term = 34

Median = $\frac{5^{th}term+6^{th}term}{2}$
[For an even number of terms]

= $\frac{33+34}{2}$ = $\frac{67}{2}$ = 33.5

Therefore, the median score of the given data is 33.5.