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CA Foundation · Quantitative Aptitude · Statistical Description of Data

Marks of 80 students are tabulated with class intervals 0-10, 10-20, 20-30, 30-40 and 40-50 using the exclusive method. The frequencies are 8, 20, 28, 16 and 8 respectively. A 'more than' cumulative frequency table is built with the lower limits as its points. What is the 'more than 20' cumulative frequency, and what is the 'more than 40' value?

The 'more than 20' cumulative frequency is 52 and the 'more than 40' value is 8. More than 20 adds all classes starting at 20 or above, 28 plus 16 plus 8, while more than 40 is just the last class frequency.

  1. A52 and 8Correct
  2. B28 and 8
  3. C52 and 24
  4. D36 and 16

Explanation

More than 20 = 28 + 16 + 8 = 52. More than 40 = 8, the last class alone. Option 2 uses only the class 20-30 for the first value, and option 3 uses 16 + 8 = 24 for the second, which is the more than 30 value. Option 4 gives the more than 30 and more than 40 type values wrongly, taking 36 = 28 + 8 and 16 as a single class.

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