Question

In which game, the maximum number of students took part?

A. Running
B. Shot-put
C. Long jump
D. None of these

Answer 1

Hint: Here represented the data in a graphical way, or presented it graphically which is called as the graphical representation, which refers to visually displaying and analyzing with the use of charts and graphs, which is also used to interpret numerical data. Here used a pie chart which is also called a circle graph, as it is a circular statistical graph, which is divided into pies (called slices) to illustrate the numerical proportion of the data.

Complete step-by-step solution:
Given the pie-chart is divided into 5 categories which are Running, shot-put, high-jump, lemon and spoon, and long jump.
Here given that each of the categories which are games, have been displayed by the angle occupied by each category of the game.
The whole angle of the circle is ${360^ \circ }$.
As the total no. of students is not mentioned,
Let the total no. of students = $x$
Then the no. of students who are playing that particular game can be obtained by the ratio of the angle occupied by that particular game to the total angle of the circle which is ${360^ \circ }$multiplied with the total no. of students.
The no. of students who took part in running:
$ \Rightarrow \dfrac{{{{108}^ \circ }}}{{{{360}^ \circ }}} \times x = 0.3x$
$\therefore 0.3x$students took part in running.
The no. of students who played shot-put:
$ \Rightarrow \dfrac{{{{60}^ \circ }}}{{{{360}^ \circ }}} \times x = 0.16x$
$\therefore 0.16x$students played shot-put.
The no. of students who played high jump:
$ \Rightarrow \dfrac{{{{30}^ \circ }}}{{{{360}^ \circ }}} \times x = 0.08x$
$\therefore 0.08x$students played high jump.
The no. of students who played lemon and spoon:
$ \Rightarrow \dfrac{{{{90}^ \circ }}}{{{{360}^ \circ }}} \times x = 0.25x$
$\therefore 0.25x$students played lemon and spoon.
The no. of students who played long jump:
$ \Rightarrow \dfrac{{{{72}^ \circ }}}{{{{360}^ \circ }}} \times x = 0.2x$
$\therefore 0.2x$ students played long jump.

Maximum no. of students took part in running.

Note: The data can be represented in any graphical format but pie charts are the best for displaying data for around 6 categories or lower.