(i) How many students show inclination towards mathematics ? (ii) How many students are inclined towards social sciences ?

Question

A survey was conducted in Aadarsh Vidyalaya to know the inclication of students towards different subjects. The data obtained is presented by the adjacent pie diagram. If the total number of students was 500, answer the following questions.

(i) How many students show inclination towards mathematics ?

(ii) How many students are inclined towards social sciences ?

(iii) How many more students are inclined towards languages than science ?

Answer 1

The total number of students, N = 500.

For mathematics, θ = 126

No. of students showing

inclination toward Maths = θ / 360 × N = 126 / 360 × 500 = 175 Similarly,

No. of students showing

inclination towards Social science = 54 / 360 × 500 = 75

No. of students showing

inclination towards Science = 72 / 360 × 500 = 100

No. of students showing

inclination towards languages = 108 /360 × 500 = 150

Now, 150 - 100 = 50

∴ 50 more students show inclination towards languages than towards science