How do you find the missing number in a series when you are given the average?
To find a missing number when you’re given the average, use the sum. Sum = Average x Number of TermsFor example, if the average of 4 numbers is 7, then the sum of those 4 numbers is 4 x 7, or 28. Suppose that 3 of the numbers are 3, 5, and 8. These 3 numbers add up to 16 of that 28, which leaves 12 for the fourth number.
To find the missing number in a series when you are given the average, you need to follow these steps:
Step 1: Find the sum of all the numbers in the series.
Step 2: Multiply the average by the number of terms in the series to find the sum of the given numbers.
Step 3: Subtract the sum of the given numbers from the sum of all the numbers in the series. This will give you the value of the missing number.
For example, let’s suppose we have a series of 5 numbers: 4, 6, 8, ?, 12 and we are given the average of the series as 8. We can find the missing number as follows:
Step 1: Sum of all the numbers in the series = 4 + 6 + 8 + x + 12 = 30 + x.
Step 2: Sum of the given numbers = 4 + 6 + 8 + 12 = 30. Number of terms in the series = 5. So, sum of the given numbers = average x number of terms = 8 x 5 = 40.
Step 3: Subtract sum of the given numbers from the sum of all the numbers in the series i.e., 30 + x – 40 = x – 10.
Therefore, the missing number in the series is x = 20.
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