Q&A for How to Calculate Average or Mean of Consecutive Numbers

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If a, b, c, d, and e are five consecutive odd number, their average is what?

Donagan

Top Answerer

The average of any five consecutive odd numbers is the third number of the sequence (in this case, c). You can prove this by setting a equal to c-4, b = c-2, d= c+2, and e= c+4. Add those four numbers together with c, and the sum of the five numbers is 5c. Divide that sum by 5 to get the average of the five numbers, which is c.

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The average of 8 consecutive even number is 8. What is the largest even number?

Donagan

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There are no eight consecutive even numbers (integers) whose average is 8.

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The mean monthly income of a person is 18190 and his mean monthly expenditure is 17390. What is his average monthly saving income?

Donagan

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Subtract 17,390 from 18,190.

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If an average of nine consecutive even numbers is 62, what are the smallest even numbers?

Donagan

Top Answerer

The average (62 in this case) of an odd number of consecutive numbers is the middle number of the set. That means this set begins at four even numbers below 62 and ends at four even numbers above 62. Therefore, the lowest number in this set is 54. You can check this answer by adding together the even numbers from 54 to 70 and then dividing that sum by 9, which yields 62.

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What is the average of first 21 positive integers?

Donagan

Top Answerer

Add those numbers and divide by 21.

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If the mean of three numbers a,b,c is m and there is an integer given (d), how do I find the mean of a, b, c, d?

Donagan

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The mean of a, b, c, d is the same as the mean of m and d, which is (m + d) / 2.

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Given that the mean of three consecutive numbers is 4, what is the middle number?

Community Answer

By inspection, it's obvious the middle number is 4. However, if you want to approach this question algebraically, let x be the first number. Then the other two numbers are (x+1) and (x+2). The mean of the three numbers is [(x) + (x+1) + (x+2)] / 3 = (3x + 3) / 3 = 4. Then 3x + 3 = 12, and 3x = 9. That means x = 3, and the middle number is (x+1) = 4.

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