Problem Solving (PS) | Re: The average (arithmetic mean) of 11 numbers is 50. When the numbers

Firstly, since we are dealing with 11 numbers, which is an odd count, the median will be the middle number when arranged in order. This means the median is the 6th largest number.

Next, given that the average of the 11 numbers is 50, the total sum of these numbers is 11*50 = 550.

We are also given that the average of the 6 smallest numbers is 44 and the average of the 6 greatest numbers is 57. Thus, the sum of the 6 smallest numbers is 6*44, and the sum of the 6 greatest numbers is 6*57. As the 6th largest number is counted in both groups, the combined sum of these two groups is greater than the total sum by exactly the value of the 6th largest number.

Therefore,
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Statistics : Posted by Bunuel • on 19 Nov 2023, 02:10 • Replies 4 • Views 565

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