CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
The mode of the daily output x (in units) of a machine is 40. If a new variable is defined as y = (x − 10)/5, the mode of y is:
The mode of y is 6. The mode shifts and scales along with the variable, so applying the same transformation to the mode of x gives (40 − 10)/5 = 6. Ignoring either the shift or the division gives a wrong value.
- A2
- B6Correct
- C8
- D30
Explanation
The mode is affected by a change of origin and scale exactly as the variable is. So the mode of y = (40 − 10)/5 = 30/5 = 6. The value 8 comes from dividing by 5 without subtracting 10, and 30 from subtracting 10 without dividing by 5.
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