Ex.3.1 Q7 Data Handling - NCERT Maths Class 7

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Question

The enrollment in a school during six consecutive years as follows: -

\(1555, 1670, 1750, 2013, 2540, 2820\)

Find the mean enrollment of the school for this period.

Text Solution

What is known?

Number of enrollments

What is unknown?

Mean

Reasoning: 

Mean enrollment

\[\begin{align} = \frac{{\left[ \begin{align} {\text{sum of numbers}}\\ {\text{of enrollments}} \end{align} \right]}}{{{\text{Total numbers of years}}}}\end{align}\]

Steps:

Total no. of years \(= 6\)

The enrollments in a school during six consecutive years

\[\left[ \begin{align}{\rm{ =  1555, 1670, 1750, }}\\{\rm{    2013, 2540, 2820}}\end{align} \right]\]

Mean enrollment

\[\begin{align} &= \frac{{\left[ \begin{array}{l}{\text{sum of numbers }}\\{\text{of enrollment}}\end{array} \right]}}{{\left[ \begin{array}{l}{\text{Total numbers }}\\{\text{of enrollment}}\end{array} \right]}}\\ &= \frac{{\left[ \begin{array}{l}1555 + 1670 + 1750 + \\2013 + 2540 + 2820\end{array} \right]}}{6}\\& = \frac{{12348}}{6}\\ &= 2058\end{align}\]

Thus, the mean enrollment of the school is \(2058.\)

  
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