alleryVariance of {2, 4, 6, 8, 10}:
- 2
- 4
- 8
- 10
Show answer and solution
Correct answer: C. 8
Mean = 6. Deviations: -4, -2, 0, 2, 4. Squared: 16, 4, 0, 4, 16. Sum = 40. Variance = 40/5 = 8.
Karnataka PUC II Statistics and Probability — practice questions
Explore 4 free Statistics and Probability questions in Karnataka PUC II Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Variance of {2, 4, 6, 8, 10}:Read the answer and worked solution →Standard deviation of {2, 4, 6, 8, 10}:Read the answer and worked solution →P(at least one head in 2 fair coin tosses):Read the answer and worked solution →Probability of drawing a heart from a standard 52-card deck:Read the answer and worked solution →
Worked practice questions
Standard deviation of {2, 4, 6, 8, 10}:
- 2
- 2.83
- 4
- 8
Show answer and solution
Correct answer: B. 2.83
sigma = sqrt(variance) = sqrt(8) ≈ 2.828.
P(at least one head in 2 fair coin tosses):
- 1/4
- 1/2
- 3/4
- 1
Show answer and solution
Correct answer: C. 3/4
P(no heads) = (1/2) × (1/2) = 1/4. P(at least one head) = 1 - 1/4 = 3/4.
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