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The mean monthly salary of 4 workers is Rs 12000. If a fifth worker earning Rs 22000 joins, the new mean salary (in rupees) is ____.

Class 9StatisticsStatistics and Probability
  • A15400
  • B14000
  • C12600
  • D28000

Step-by-Step Solution

Old sum = . New sum = 48000 + 22000 = 70000. New mean = = Rs 14000.
Answer: B) 14000

Key idea: Mean of ungrouped data

**Formula**: ̄ = (sum of observations) / (number of observations) = Σ.

**Example**: Marks of 5 students: 7, 8, 6, 9, 10.
Sum = 40, . Mean = 40/5 = 8.

**For a frequency distribution**:
̄ = Σᵢᵢ) / Σᵢ
Multiply each value by its frequency, sum, and divide by total frequency.

Example: marks 5, 7, 9 with frequencies 2, 3, 5.
Σ·2 + 7·3 + 9·5 = 10 + 21 + 45 = 76.
Σ. Mean = 76 / 10 = 7.6.

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