Ex.3.2 Q5 Data Handling - NCERT Maths Class 7

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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 \(8.\)

  
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