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In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000, 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is

  • A.Rs. 20,000
  • B.Rs. 30,000
  • C.Rs. 32,300
  • D.Rs. 40,000

Answer: B

The median salary is Rs. 30,000.

With 100 employees the median is the average of the 50th and 51st salaries in order. The first 45 earn Rs. 20,000, and employees 46 to 70 earn Rs. 30,000, so both the 50th and 51st earn Rs. 30,000.

Rs. 20,000 is the mode (the most common salary). Rs. 32,300 is close to the mean, which is pulled up by the two very high salaries: (45 × 20 + 25 × 30 + 20 × 40 + 8 × 60 + 2 × 150) thousand / 100 = Rs. 32,300. Rs. 40,000 is further up the list.

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