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

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## 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?

Video Solution
Data Handling
Ex 3.2 | Question 1

## 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.

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