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Averages

8 questions ยท EasyMediumHard

The average (mean) is the total divided by the count. Most average questions are really total questions: turn every average into a total, then compare totals.

๐Ÿ’ก Quick tricks

  1. Total = average ร— number of items.
  2. When a new value joins, compare the totals before and after: new value = new total โˆ’ old total.
  3. If every value goes up by k, the average goes up by k.
8 questions

๐ŸŽฏ Try it yourself

Tap an answer. You'll see if it's right, and why. Easy ones come first.

  1. Q1Easy

    What is the average of 10, 33 and 23?

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    Answer: D. 22

    ๐Ÿ’ก Sum = 66, and 66 รท 3 = 22.

  2. Q2Easy

    What is the average of 31, 17 and 21?

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    Answer: C. 23

    ๐Ÿ’ก Sum = 69, and 69 รท 3 = 23.

  3. Q3Easy

    What is the average of 11, 27 and 10?

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    Answer: D. 16

    ๐Ÿ’ก Sum = 48, and 48 รท 3 = 16.

  4. Q4Medium

    What is the average of 69, 92, 53, 25 and 31?

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    Answer: C. 54

    ๐Ÿ’ก Sum = 270, and 270 รท 5 = 54.

  1. Q5Medium

    Average age of 19 students is 14. With the teacher it becomes 16. Teacher's age?

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    Answer: B. 54

    ๐Ÿ’ก Total with teacher = 16 ร— 20 = 320. Students = 14 ร— 19 = 266. Teacher = 54.

  2. Q6Medium

    What is the average of 64, 46, 71, 60 and 79?

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    Answer: B. 64

    ๐Ÿ’ก Sum = 320, and 320 รท 5 = 64.

  3. Q7Hard

    The average of 5 numbers is 39. Four of them are 44, 52, 54 and 39. Find the fifth.

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    Answer: D. 6

    ๐Ÿ’ก Total = 5 ร— 39 = 195. Known sum = 189. Fifth = 195 โˆ’ 189 = 6.

  4. Q8Hard

    Vikram averages 55 runs in 13 innings. Runs needed next to make it 56?

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    Answer: D. 69

    ๐Ÿ’ก Needed total = 56 ร— 14 = 784; current total = 55 ร— 13 = 715; so 69 runs.

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