Averages: Test 2

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Averages Test 2: questions and answers

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  1. 1. Find the average of 73, 22, 95, 82, 38.
    1. 64
    2. 60
    3. 58
    4. 62

    Reference: q-5c37d0e0-40 · Report this question

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    Answer: D. 62

    Sum = 310. Average = 310 / 5 = 62.
  2. 2. What is the average of the first 9 odd numbers?
    1. 9
    2. 8
    3. 7
    4. 6

    Reference: q-82de51ea-48 · Report this question

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    Answer: A. 9

    The average of the first n odd numbers is n = 9.
  3. 3. The average weight of 15 students is 50 kg. When a new student joins, the average becomes 51 kg. What is the weight of the new student?
    1. 60 kg
    2. 65 kg
    3. 66 kg
    4. 62 kg

    Reference: q-d33eaa09-136 · Report this question

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    Answer: C. 66 kg

    Total after joining = 16 × 51 = 816. Total before = 15 × 50 = 750. New student = 66 kg.
  4. 4. The average of 10 numbers is 43. If one number is excluded, the average of the remaining numbers becomes 40. Find the excluded number.
    1. 79
    2. 67
    3. 83
    4. 70

    Reference: q-9436eb93-135 · Report this question

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    Answer: D. 70

    Sum of all = 10 × 43 = 430. Sum of the rest = 9 × 40 = 360. Excluded number = 70.
  5. 5. A batsman has an average of 34 runs in 11 innings. How many runs must he score in the next innings to raise his average to 37?
    1. 47 runs
    2. 76 runs
    3. 70 runs
    4. 72 runs

    Reference: q-1e248b71-127 · Report this question

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    Answer: C. 70 runs

    Required total = 12 × 37 = 444. Runs so far = 11 × 34 = 374. He needs 70 runs.
  6. 6. Find the average of 14, 54, 73, 81, 43.
    1. 50
    2. 53
    3. 55
    4. 56

    Reference: q-6a1d95a7-40 · Report this question

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    Answer: B. 53

    Sum = 265. Average = 265 / 5 = 53.
  7. 7. What is the average of the first 29 even numbers?
    1. 32
    2. 30
    3. 27
    4. 28

    Reference: q-8d6d8ac1-50 · Report this question

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    Answer: B. 30

    The average of the first n even numbers is n + 1 = 30.
  8. 8. The average weight of 23 students is 50 kg. When a new student joins, the average becomes 51 kg. What is the weight of the new student?
    1. 74 kg
    2. 80 kg
    3. 72 kg
    4. 73 kg

    Reference: q-34a947a2-136 · Report this question

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    Answer: A. 74 kg

    Total after joining = 24 × 51 = 1224. Total before = 23 × 50 = 1150. New student = 74 kg.
  9. 9. The average of 8 numbers is 58. If one number is excluded, the average of the remaining numbers becomes 56. Find the excluded number.
    1. 72
    2. 76
    3. 70
    4. 114

    Reference: q-6270de19-134 · Report this question

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    Answer: A. 72

    Sum of all = 8 × 58 = 464. Sum of the rest = 7 × 56 = 392. Excluded number = 72.
  10. 10. A batsman has an average of 36 runs in 19 innings. How many runs must he score in the next innings to raise his average to 38?
    1. 76 runs
    2. 56 runs
    3. 88 runs
    4. 72 runs

    Reference: q-3ca30b5c-127 · Report this question

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    Answer: A. 76 runs

    Required total = 20 × 38 = 760. Runs so far = 19 × 36 = 684. He needs 76 runs.

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