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CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion

The weights (in kg) of six employees in an office are: 65, 72, 68, 72, 70, 73. Which of the following statements is correct?

The mode is 72 kg (appears twice, all others appear once). The median is 71 kg, calculated as the average of the 3rd and 4th values (70 and 72) when data is arranged in order.

  1. AThe mode is 70 kg and the median is 72 kg
  2. BThe mode is 72 kg and the median is 71 kgCorrect
  3. CThe mode is 72 kg and the median is 70 kg
  4. DThe mode is 68 kg and the median is 72 kg

Explanation

Arrange in order: 65, 68, 70, 72, 72, 73. Mode (most frequent value) = 72 kg. Median (middle value for even n) = (70 + 72) ÷ 2 = 71 kg. Option 1 correctly identifies both. The distractor in option 2 uses wrong median calculation, and option 3 confuses mode with incorrect median.

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