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Answers
Given : A group of pupils of a certain school named the subject they liked most. Their choices are represented on the given pie chart.
Given that 48 pupils chose Mathematics
To Find : Show that the value of x is 32
Calculate the percentage of the group who like science.
calculate the total number of pupils in the group
Solution:
A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion.
In a pie chart, the arc length of each slice (and consequently its central angle and area), is directly proportional to the quantity it represents.
In a pie chart, each sector represents a particular part of data
and the magnitude of the sector is directly proportional to the magnitude of the specific part of the data
Total angle at center = 360°
=> 2x° + 55° + 5x° + 81° = 360°
=> 7x° + 136° = 360°
=> 7x° = 224°
=> x° = 32°
=> x= 32
percentage of the group who like science.
= (81°/360°) * 100
= 81 * 10 /36
= 9 * 10 / 4
= 9 * 5 / 2
= 45/2
= 22.5 %
5x = 5(32) = 160°
160° represent 48
=> total number of pupils in the group = (48 / 160° ) * 360° = 108
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