CA Foundation · Quantitative Aptitude · Statistical Description of Data
The frequencies of five successive classes of a distribution are 6, 11, 15, 12 and 6. What is the 'less than' cumulative frequency corresponding to the upper limit of the fourth class?
The less than cumulative frequency at the upper limit of the fourth class is 44. It is obtained by adding the frequencies of the first four classes: 6, 11, 15 and 12. The total of 50 is reached only after including the fifth class.
- A32
- B44Correct
- C50
- D26
Explanation
Less than cumulative frequency at the upper limit of the fourth class is the sum of the first four frequencies: 6 + 11 + 15 + 12 = 44. The value 50 is the total, which is reached only at the fifth class. The value 32 wrongly leaves out the 12 of the fourth class, i.e. it is the cumulative frequency up to the third class.
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