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The monthly salaries of the 7 employees of a small firm, in thousands of rupees, are 18, 20, 22, 24, 26, 28 and 92. Which statement about this data is correct?

Competition practiceData & Probability
  • AThe mean and the median are equal
  • BThe median is greater than the mean, because the value 92 raises the middle salary
  • CThe mean is less than the median, because most of the salaries are small
  • DThe mean is greater than the median, and only one employee earns more than the mean

Step-by-Step Solution

The middle value of the 7 ordered salaries is 24, so the median is ₹24 thousand. The mean is (18 + 20 + 22 + 24 + 26 + 28 + 92) ÷ 7 = 230 ÷ 7 ≈ 32.9 thousand, which is above every salary except 92 — so exactly one employee earns more than the mean. One extreme value pulls the mean upwards but leaves the median exactly where it was, which is why the median describes a typical salary here far better.
Answer: D) The mean is greater than the median, and only one employee earns more than the mean

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