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CA Foundation · Quantitative Aptitude · Statistical Description of Data

For 60 delivery trips of a Bengaluru courier firm, the 'less than' cumulative frequencies of delivery time (in minutes) are: less than 20: 6; less than 30: 21; less than 40: 45; less than 50: 57; less than 60: 60. How many trips took 30 minutes or more but less than 50 minutes?

Thirty-six trips took between 30 and 50 minutes. Subtract the cumulative frequency below 30, which is 21, from the cumulative frequency below 50, which is 57. The options 24 and 12 each cover only one of the two classes in that range.

  1. A36Correct
  2. B24
  3. C12
  4. D42

Explanation

Trips under 50 minutes number 57 and trips under 30 minutes number 21. The difference 57 − 21 = 36 gives trips in the 30–50 range. Using 45 − 21 = 24 covers only 30–40, and 57 − 45 = 12 covers only 40–50.

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