CA Foundation · Quantitative Aptitude · Statistical Description of Data
The 'less than' cumulative frequencies of the daily sales (in ₹'000) of 60 shops of a Surat market are: less than 20: 6; less than 40: 18; less than 60: 38; less than 80: 54; less than 100: 60. How many shops have sales of ₹60 thousand or more but below ₹80 thousand?
16 shops. The frequency of the class 60–80 equals the less-than-80 cumulative frequency minus the less-than-60 cumulative frequency, that is 54 − 38 = 16. The other figures are cumulative totals or belong to a different class.
- A16Correct
- B20
- C54
- D38
Explanation
The frequency of the class 60–80 is the difference of the cumulative frequencies: 54 − 38 = 16. The value 20 is the frequency of the class 40–60 (38 − 18), a wrong class. The values 54 and 38 are cumulative figures, not class frequencies.
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