Question

|| PIE CHART ||
Question :-
Average time denoted for each subject by a student is given below their present at by a Pie - chart

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Answer 1

Please refer the attachment to view the pie-chart.

How do we construct a Pie-chart?

We have to follow each step mentioned below to construct a pie chart:

⇒ Construct a relatively big circle.

⇒ Now, we have to find the total sum of all the values, that is, the sum of all values dedicated to each section.

⇒ To find the angle each value will take up, we need to use the formula:

→ $\sf{\dfrac{Single\:value}{Total\:value}\times360^o}$

This will give us the angle each section will take up.

⇒ To dedicate a section of the circle for each value, we need to draw a radius and then keep the protractor in the center of the circle in such a way that it measures 0°. Find the measure on the protractor which is needed for that specific value.

⇒ Draw an angle and measure once again to determine the accuracy.

⇒ Repeat these steps until we fill the pie chart.

[In the following steps, any one side of the section previously drawn can be used as the radius.]

Measure of each value in the given pie-chart:

⇒ Sum of all values = 20 + 30 + 10 + 20 + 15 + 5 = 100

$\sf{\rightarrow\:English=\dfrac{20}{100}\times360=72^o}$

$\sf{\rightarrow\:Maths=\dfrac{30}{100}\times360=108^o}$

$\sf{\rightarrow\:Hindi=\dfrac{10}{100}\times360=36^o}$

$\sf{\rightarrow\:General\:Science=\dfrac{20}{100}\times360=72^o}$

$\sf{\rightarrow\:Social\:science=\dfrac{15}{100}\times360=54^o}$

$\sf{\rightarrow\:Computer\:science=\dfrac{5}{100}\times360=18^o}$

These are the angle measures of each section.

How will we confirm?

If the sum of all these measures we found out is 360, then our answer is correct:

= 72 + 108 + 36 + 72 + 54 + 18

= 360°

Pictorial representation of data - Pie charts:

A pie chart is a circular pictorial representation of data which is similar to the representation of fractions. This means that each single value is represented as part of a whole, similar to the definition of a fraction.

Each section of the pie chart is dedicated to a unique value. A pie-chart can be made more attractive by giving different colours to each section. It should be noted that the frequency and the data type must be mentioned near each section.

Another way of pictorial representation is the pictogram.

Answer 2

Please refer the attachment to view the pie-chart.

${ \boxed{ \boxed{ \bold \pink{Full \: Explaination}}}}$

How do we construct a Pie-chart?

We have to follow each step mentioned below to construct a pie chart:

⇒ Construct a relatively big circle.

⇒ Now, we have to find the total sum of all the values, that is, the sum of all values dedicated to each section.

⇒ To find the angle each value will take up, we need to use the formula:

→ $\frac{single \: valve}{total \: valve} = 360°$

This will give us the angle each section will take up.

⇒ To dedicate a section of the circle for each value, we need to draw a radius and then keep the protractor in the center of the circle in such a way that it measures 0°. Find the measure on the protractor which is needed for that specific value.

⇒ Draw an angle and measure once again to determine the accuracy.

⇒ Repeat these steps until we fill the pie chart.

[In the following steps, any one side of the section previously drawn can be used as the radius.]

Measure of each value in the given pie-chart:

⇒ Sum of all values = 20 + 30 + 10 + 20 + 15 + 5 = 100

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

→Maths =$\frac{30}{100} \times 360$108°

→Hindi =$\frac{10}{100} \times 360$=30°

→General Science =$\frac{20}{100} \times 360$=72°

→Social Science=$\frac{15}{100} \times 360$=54°

→Computer science=$\frac{5}{100} \times 360$=18°

These are the angle measures of each section.

_________________________________

How will we confirm?

If the sum of all these measures we found out is 360, then our answer is correct:

= 72 + 108 + 36 + 72 + 54 + 18

= 360°

*Pictorial representation of data - Pie charts:

A pie chart is a circular pictorial representation of data which is similar to the representation of fractions. This means that each single value is represented as part of a whole, similar to the definition of a fraction.

Each section of the pie chart is dedicated to a unique value. A pie-chart can be made more attractive by giving different colours to each section. It should be noted that the frequency and the data type must be mentioned near each section.

Another way of pictorial representation is the pictogram.

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