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The sum of 6 numbers is 240. Find their average.
41
40
39
38
40
Just perform a quick division of the total (240) by the number of elements (6). Since 24÷6=4, appending the zero directly gives 40.
Sum of 6 numbers = 240, Number of items (n) = 6
Average=n∑x
Just perform a quick division of the total (240) by the number of elements (6). Since 24÷6=4, appending the zero directly gives 40.
Students sometimes mistakenly multiply the sum by the count instead of dividing, or confuse the average formula with the sum formula.
Identify the values
Identify the given sum of the observations and the total count of numbers.
Sum=240,n=6
Apply Average Formula
Substitute the given values into the standard average formula: Average=CountSum.
Average=6240
Calculate the result
Perform the division: 240÷6=40.
Average=40
B is correct because the quotient of 240 divided by 6 equals 40.
Understanding the relationship between sum, count, and average is vital for Data Interpretation (DI) questions, where you often need to calculate the total from a given average.