The heights (in cm) of 9 girls are :
144.2, 148.5, 152.1, 143.7, 145, 149.6, 150, 146.5, 147.3
Find the median height.

Question

The heights (in cm) of 9 girls are : 144.2, 148.5, 152.1, 143.7, 145, 149.6, 150, 146.5, 147.3 Find the median height.

KnowledgeBoat · Accepted Answer

By arranging data in ascending order, we get :

143.7, 144.2, 145, 146.5, 147.3, 148.5, 149.6, 150, 152.1

Number of observations, n = 9, which is odd.

By formula,

Median = $\dfrac{n + 1}{2}$ th observation

⇒ $\dfrac{9 + 1}{2}$ th observation

⇒ $\dfrac{10}{2}$ th observation

⇒ 5th observation

∴ Median = 147.3.

Hence, median is 147.3 cm.

Mathematics