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For frequency table : 1, 2, 3, 4 | f: 4, 6, 7, 3, find the mean.

Class 9StatisticsStatistics and Probability
  • A2.45
  • B2.5
  • C12.25
  • D49

Step-by-Step Solution

Σfx = 1·4 + 2·6 + 3·7 + 4·3 = 4 + 12 + 21 + 12 = 49. Σ. Mean = .
Answer: A) 2.45

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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