Question

Which of the following is the median of the heights in cm of the following 9 students? \[ 155,\ 160,\ 145,\ 149,\ 150,\ 147,\ 152,\ 144,\ 148 \]

• A. \(150\)
• B. \(149\)
• C. \(147\)
• D. \(197.37\)

Hint:

For odd number of observations, median is the \(\frac{n+1}{2}\)th observation after arranging the data.

Answer 1

The Correct Option is B

Concept:
Median is the middle value of the data when the data is arranged in ascending order.

Step 1: Arrange the data in ascending order. \[ 144,\ 145,\ 147,\ 148,\ 149,\ 150,\ 152,\ 155,\ 160 \]

Step 2: Count the number of observations. \[ n=9 \] Since \(n\) is odd, median is the: \[ \frac{n+1}{2}^{th} \] observation. \[ \frac{9+1}{2}=5 \]

Step 3: Find the 5th observation. \[ 144,\ 145,\ 147,\ 148,\ \boxed{149},\ 150,\ 152,\ 155,\ 160 \] So, median is: \[ 149 \] \[ \therefore \text{Correct Answer is (B)} \]