# Ex.3.2 Q3 Data Handling - NCERT Maths Class 7

## Question

The weights (in kg) of \(15\) students of a class are: -

\(38, 42, 35, 37, 45, 50, 32, 43,43,\\ 40, 36, 38, 43, 38,47\)

(i) Find the median and mode of this data.

(ii) Is there more than one mode?

## Text Solution

**Reasoning:**

**What is known?**

The weights (in kg) of \(15\) students of a class

**What is unknown?**

The median and mode of this data.

**Reasoning:**

Mode \(=\) Mode is the observation that occurs highest number of times

Median \(=\) Median is the middle observation

**Steps:**

Total number of students \(=15\)

Weights of \(15\) students \(= 38, 42, 35, 37, 45, 50, 32, 43,\\ \quad43, 40, 36,38, 43, 38, 47.\)

Arranging in ascending order, we get \(32, 35, 36, 37,38, 38,38, 40, 42, \\43, 43,43, 45, 47, 50\)

(i) Mode is the observation that occurred highest number of times.

Thus\(, 38\) and \(43\) occur highest number of times.

\(∴\) Mode \(= 38\) and \(43.\)

Also, median \(= 40\) (8^{th} observation)

(ii) Yes, there are two modes.