Question

The following table shows the number of students with different hobbies. Represent the data with the help of the pie chart.

Hobby	Singing	Painting	Cooking	Gardening	Reading
Number of students	$ 42 $	$ 28 $	$ 12 $	$ 18 $	$ 44 $

Answer 1

Hint: A pie chart is the circular graph which is divided into slices which demonstrates the numerical proportion where the arc length of each slice is directly proportional to the quantity which it represents. Here first of all we will find the total number of students and with that will find out the arc or the measure of the angle taking base angle of the circle equal to $ 360^\circ $

Complete step-by-step answer:
Total number of students is equal to the sum of all the students with all the different hobbies.
Total number of students $ = 42 + 28 + 12 + 18 + 44 $
Total number of students $ = 144 $
Convert the number of students in the form of the angle for each of the hobbies.
Singing $ = 42 $ students
 $ = \dfrac{{42}}{{144}} \times 360 $
Remove the common factors and simplify the above equation –
 $ = 105^\circ $ ..... (A)
Similarly, Painting $ = 28 $ students
 $ = \dfrac{{28}}{{144}} \times 360 $
Remove the common factors and simplify the above equation –
 $ = 70^\circ $ ..... (B)
Cooking $ = 12 $ students
 $ = \dfrac{{12}}{{144}} \times 360 $
Remove the common factors and simplify the above equation –
 $ = 30^\circ $ .... (C)
Gardening $ = 18 $ students
 $ = \dfrac{{18}}{{144}} \times 360 $
Remove the common factors and simplify the above equation –
 $ = 45^\circ $ ..... (D)
Reading $ = 44 $ students
 $ = \dfrac{{44}}{{144}} \times 360 $
Remove the common factors and simplify the above equation –
 $ = 110^\circ $ .... (E)
Just represent the calculated in the tabular form –

Hobby	Number of Students	Degree
Singing	$ 42 $	$ 105^\circ $
Painting	$ 28 $	$ 70^\circ $
Cooking	$ 12 $	$ 30^\circ $
Gardening	$ 18 $	$ 45^\circ $
Reading	$ 44 $	$ 110^\circ $

Draw the respective angles using the circle-

Note: Be good in multiples and the simplification since; these may alter the solution completely. Also, refer to the other graphical presentation of the chart and the methods and the difference among them. The chart is the graphical representation of the data, where data can be represented by symbols such as the bars, lines, slices in the pie chart.