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CA Foundation · Quantitative Aptitude · Statistical Description of Data

In a distribution of 60 observations, the 'more than' cumulative frequency at the lower limit 20 is 48 and at the lower limit 30 is 31. What is the frequency of the class 20–30?

The frequency of class 20–30 is 17. The 'more than 20' figure of 48 includes all items from 20 upward, and the 'more than 30' figure of 31 covers those from 30 upward, so their difference, 48 − 31, gives 17.

  1. A12
  2. B17Correct
  3. C31
  4. D29

Explanation

More than 20 means 48 observations are at or above 20, and more than 30 means 31 are at or above 30. So the class 20–30 has 48 − 31 = 17 observations. Option 29 comes from 60 − 31, which is the number below 30, not the class frequency.

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