Question

The inter quartile range for the given ogive is:

Options

• 42

• 32

• 44

• 54

Answer 1

42

Explanation:

No. of terms (N) = 80

Lower quartile (Q₁) = `N/4` th term

= `80/4`​ = 20 th term = 10.

Upper quartile (Q₃) = `3N/4`​ th term

= `(3×80)/4 = 240/4` = 60 th term.

1. From point A = 60. Draw a line parallel to x-axis touching the graph at B.

2. From point B, draw a line parallel to y-axis touching graph at C.

From graph, point C = 52.

∴ Upper quartile (Q₃) = 52

By formula,

Inter quartile range = Upper quartile - Lower quartile

= Q₃ − Q₁

= 52 − 10 = 42