Mathematics
The inter quartile range for the given ogive is :
42
32
44
54
Statistics
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Answer
No. of terms (N) = 80
Lower quartile (Q1) = th term
= = 20 th term = 10.
Upper quartile (Q3) = th term
= = 60 th term.
From point A = 60. Draw a line parallel to x-axis touching the graph at B.
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.
Hence, Option 1 is the correct option.
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