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Bihar Board Class 12 (Arts) Mathematics — practice by topic

Browse 132 questions across 5 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Relations, Functions & Inverse Trigonometry (65)Probability (45)Relations and Functions (17)Statistics and Probability (4)Differential Equations (1)

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Mode of {1, 2, 2, 3, 4, 4, 4, 5}:Read the answer and worked solution →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 →

Worked practice questions

Mode of {1, 2, 2, 3, 4, 4, 4, 5}:

  1. 2
  2. 3
  3. 4
  4. 5
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Correct answer: C. 4

Mode is the most frequent value. 4 appears 3 times, more than any other. Mode = 4.

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Variance of {2, 4, 6, 8, 10}:

  1. 2
  2. 4
  3. 8
  4. 10
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Correct answer: C. 8

Mean = 6. Deviations: -4, -2, 0, 2, 4. Squared: 16, 4, 0, 4, 16. Sum = 40. Variance = 40/5 = 8.

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Standard deviation of {2, 4, 6, 8, 10}:

  1. 2
  2. 2.83
  3. 4
  4. 8
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Correct answer: B. 2.83

sigma = sqrt(variance) = sqrt(8) ≈ 2.828.

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