Skip to content

CA Foundation · Quantitative Aptitude · Statistical Description of Data

The marks of 40 students are grouped into classes 0–10, 10–20, 20–30, 30–40 with frequencies 6, 10, 14 and 10 respectively. What is the 'less than' cumulative frequency corresponding to the upper limit 30?

The less than cumulative frequency at 30 is 30. It is found by adding the frequencies of all classes whose upper limit does not exceed 30, namely 6, 10 and 14. The value 40 is the total, belonging to the upper limit 40.

  1. A14
  2. B30Correct
  3. C20
  4. D40

Explanation

A 'less than 30' cumulative frequency adds all classes up to the 20–30 class: 6 + 10 + 14 = 30. Option 40 is the total, which is the 'less than 40' value. Option 14 is just the frequency of the class 20–30 and not cumulative.

Did you get it right without looking?

One question tells you little. A timed set on Statistical Description of Data shows your real accuracy, how long you take and where you lose marks.

More Statistical Description of Data questions