Name: Data Collection and Its Tabulation
Uploaded: 2019-07-19
Duration: 6 min 32 s
Description: To get a piece of particular information from the given data quickly, we have to arrange it tabularly. Let's learn in this video that how to arrange the data...

Question

Draw a suitable pie chart for the following data relating to the cost of construction of a house.

$\begin{matrix} Particulars & Bricks & Steel & Cement & Timber & Labour & Others \\ Expenses: & 10 % & 15 % & 25 % & 10 % & 20 % & 20 % \end{matrix}$

Also, find how much was spent on labour if $₹ 55000$ was spent for cement.

Accepted Answer

Given, $\begin{matrix} Particulars & Bricks & Steel & Cement & Timber & Labour & Others \\ Expenses: & 10 % & 15 % & 25 % & 10 % & 20 % & 20 % \end{matrix}$

We know that, Central angle $₹ 55000$

Particulars Central angle $= \frac{v a l u e}{t o t a l v a l u e} \times 360 °$

Bricks $\frac{10}{100} \times 360 ° = 36 °$

Steel $\frac{15}{100} \times 360 ° = 54 °$

Cement $\frac{25}{100} \times 360 ° = 90 °$

Timber $\frac{10}{100} \times 360 ° = 36 °$

Labour $\frac{20}{100} \times 360 ° = 72 °$

Others $\frac{20}{100} \times 360 ° = 72 °$

Total $360 °$

A pie chart is a circular graph which shows the total value with its components. The circle is divided into sectors and the area of the sectors is proportional to the information given. The area of a circle represents the total value and the different sectors of the circle represent the different components.

Cost of construction of a house.

If the expenses on cement is $₹ 55000$ then, it represents $25 %$ and he spent $20 %$ on labour

Therefore, the expense on Labour $= \frac{20}{25} \times 55000$

$= ₹ 44, 000$

Hence, amount spent on labour is $₹ 44, 000$

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