A statistician records the ages of 120 visitors to a Mumbai library. From the less-than ogive, cf = 30 at age 20 and cf = 90 at age 40. Using Q1 at N/4 and Q3 at 3N/4, find the interquartile range Q3 - Q1 (in years).

Question

Accepted Answer

20. N/4 = 30 gives Q1 = 20 yr; 3N/4 = 90 gives Q3 = 40 yr. Interquartile range = 40 - 20 = 20 yr.

A statistician records the ages of 120 visitors to a Mumbai library. From the less-than ogive, cf = 30 at age 20 and cf = 90 at age 40.
Using Q1 at $\frac{N}{4}$ and Q3 at $\frac{3 N}{4}$ , find the interquartile range Q3 - Q1 (in years).

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More Class 10 Cumulative Frequency and Ogive practice

A statistician records the ages of 120 visitors to a Mumbai library. From the less-than ogive, cf = 30 at age 20 and cf = 90 at age 40.Using Q1 at 4N​ and Q3 at 43N​, find the interquartile range Q3 - Q1 (in years).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Cumulative Frequency and Ogive practice

A statistician records the ages of 120 visitors to a Mumbai library. From the less-than ogive, cf = 30 at age 20 and cf = 90 at age 40.
Using Q1 at $\frac{N}{4}$ and Q3 at $\frac{3 N}{4}$ , find the interquartile range Q3 - Q1 (in years).