# Ex.3.2 Q1 Data Handling - NCERT Maths Class 7

## Question

The scores in mathematics test (out of \(25\)) of \(15\) students are follows: -

\(=\left[ \begin{align} & \text{19, 25, 23, 20, 9, 20, 15, 10,} \\ & \,\,\,\,\,\text{ 5,16, 25, 20, 24, 12, 20}\text{.} \\ \end{align} \right]\)

Find the mode and median of the data. Are they same?

## Text Solution

**What is known?**

Scores in mathematics test of \(15\) students

**What is unknown?**

The mode and median of the data

**Reasoning:**

Mode – Mode of a given data is that value of observation which occurs for the most

number of times.

Median \(=\) middle of observation (in this case, \(8\)th observation)

**Steps:**

Scores of \(15\) students in mathematics test are \(=\left[ \begin{align} & \text{19, 25, 23, 20, 9, 20, 15, 10,} \\ & \,\,\,\,\,\text{ 5,16, 25, 20, 24, 12, 20}\text{.} \\ \end{align} \right]\)

Arranging scores in ascending order, we get

\[\left[ \begin{align} & \text{5, 9, 10, 12, 15, 16, 19, 20, } \\ & \,\,\text{20, 20, 20, 23, 24, 25, 25} \\ \end{align} \right]\]

Mode – Mode of a given data is that value of observation which occurs for the most

number of times.

Therefore\(, 20\) occurs most of the time.

\(∴\) Mode \(= 20.\)

Median \(=\) middle of observation (in this case, \(8\)^{th} observation)

\(∴\) Median \(= 20\)

Yes, mode and median of the given observations are same.