# Ex.3.2 Q5 Data Handling - NCERT Maths Class 7

## Question

Tell whether the statement is true or false:

(i) The mode is always one of the numbers in a data.

(ii) The mean is one of the numbers in a data.

(iii) The median is one of the numbers in a data.

(iv) The data \(6, 4, 3, 8, 9, 12, 13, 9,\) has mean \(9.\)

## Text Solution

**Steps: **

(i) **True**: Mode is the observations that occurs highest numbers of times. Therefore, it is one observation in a data.

(ii) **False**: Mean may or may not be one of the numbers in a data.

(iii) **True**: Median is the middle observations of the given data when it is arranged in ascending or descending order.

(iv) **False**: The given data \(6, 4, 3, 8, 9, 12, 13, 9.\)

\[\begin{align} \text{Mean} & =\frac{\left[ \begin{align} & 6+4+3+8+ \\& 9+12+13+9 \\\end{align} \right]}{8} \\ & =\frac{64}{8} \\ & =8 \\\end{align}\]

Therefore, mean is \(8.\)