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The mean of 8 observations is 21. If one observation of value 28 is deleted, what is the mean of the remaining 7 observations?

Class 9StatisticsStatistics and Probability
  • A24
  • B20
  • C21
  • D19.5

Step-by-Step Solution

Sum of the 8 observations = . After deleting 28 the sum is 168 − 28 = 140 and the count is 7, so the new mean = .
Answer: B) 20

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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