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Find the variance of the observations 2, 4, 6, 8, 10.

Competition practiceData & Probability
  • A8
  • B10
  • C40
  • D2.8

Step-by-Step Solution

Mean = 30 ÷ 5 = 6. Squared deviations: 16, 4, 0, 4, 16 with sum 40. Variance = 40 ÷ 5 = 8. (Dividing by n − 1 = 4 would give 10, which is the sample variance, not the required one.)
Answer: A) 8

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