Question

Draw a pie chart for the following data.

Team of expenditure	Amount spent
Food	$3750$
Health	$1875$
Clothing	$1875$
Education	$1200$
Saving	$7500$

Answer 1

Hint: According to the question given in the question we have to determine the pie chart for the amount spent in food, health, clothing, education, and saving which are $3750,1875,1875,1200$ and $7500$. So, first of all we have to understand about the pie chart which is as explained below:
Pie chart: A pie chart is circular in shape and is a circular statistical graphic, which is divided into slices to illustrate numerical portions and in a pie chart the arc length of each slice which is its consequently its central angle and area is proportional to the quantity represented. While it is named for its resemblance to a pie which has been sliced, there are various ways it can be presented.
Now, we have to draw the pie chart as explained above, for the given data table.
To obtain the pie chart first of all we have to determine the total amount spent which can be just adding all of the given amounts.
Now, we have to determine the central angle for the pie chart which can be determined by dividing the given amounts by the sum of total amount and then we have to multiply it with the angle ${360^0}$

Complete step-by-step solution:
Step 1: First of all we have to determine the sum of all the amounts which are $3750,1875,1875,1200$ and $7500$ which are spent in food, health, clothing, education, and saving. Hence,
$
   = 3750 + 1875 + 1875 + 1200 + 7500 \\
   = 16200
 $
Step 2: Now, we have to determine the fraction in which we just have to divide the given cost for different causes with the sum of total amounts as obtained in the solution step 1. Hence,

Team of expenditure	Amount spent	Fraction
Food	$3750$	$\dfrac{{3750}}{{16200}} = \dfrac{{25}}{{208}}$
Health	$1875$	$\dfrac{{1875}}{{16200}} = \dfrac{{25}}{{216}}$
Clothing	$1875$	$\dfrac{{1875}}{{16200}} = \dfrac{{25}}{{216}}$
Education	$1200$	$\dfrac{{1200}}{{16200}} = \dfrac{2}{{27}}$
Saving	$7500$	$\dfrac{{7500}}{{16200}} = \dfrac{{25}}{{54}}$

Step 3: Now, we have to determine the central angle and for this we just have to multiply the obtained fraction with the angle ${360^0}$as mentioned in the solution hint.

Team of expenditure	Amount spent	Fraction	Central angle
Food	$3750$	$\dfrac{{3750}}{{16200}} = \dfrac{{25}}{{208}}$	$\dfrac{{25}}{{208}} \times {360^0} = {83.3^0}$
Health	$1875$	$\dfrac{{1875}}{{16200}} = \dfrac{{25}}{{216}}$	$\dfrac{{25}}{{216}} \times {360^0} = {41.7^0}$
Clothing	$1875$	$\dfrac{{1875}}{{16200}} = \dfrac{{25}}{{216}}$	$\dfrac{{25}}{{216}} \times {360^0} = {41.7^0}$
Education	$1200$	$\dfrac{{1200}}{{16200}} = \dfrac{2}{{27}}$	$\dfrac{2}{{27}} \times {360^0} = {26.7^0}$
Saving	$7500$	$\dfrac{{7500}}{{16200}} = \dfrac{{25}}{{54}}$	$\dfrac{{25}}{{54}} \times {360^0} = {166.6^0}$

Step 4: Now, as we have obtained the central angle so we just have to draw the pie chart for the data obtained just above which is as given below:

Note: To determine the central angle first of all we have to determine the fraction of the amount spent in different causes by the sum of total amount and after that we have to multiply the obtained faction with the fractions obtained.
A circular statistical graphic, which is divided into slices to illustrate numerical portions and in a pie chart the arc length of each slice which is its consequently its central angle and area is proportional to the quantity represented is a pie chart.