A set of 12 numbers has an arithmetic mean of 20. if the numbers 10 and 14 are removed from the set, what is the arithmetic mean of the 10 numbers remaining in the set?

Lennie Carroll 2020-10-18 Answered
A set of 12 numbers has an arithmetic mean of 20. if the numbers 10 and 14 are removed from the set, what is the arithmetic mean of the 10 numbers remaining in the set?
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Expert Answer

Asma Vang
Answered 2020-10-19 Author has 93 answers
For a set of positive numbers x1, x2, , Xn, the arithmetic mean is given as Arithmetic Mean= x1 + x2 +  + xnn Now, set of 12 numbers which includes 10 and 14 has an arithmetic mean of 20. Let x be the sum of the remaining 10 numbers. AM= x + 10 + 1412=20
x + 2412=20
x=240  24=216 Now, we find the arithmetic mean of the remaining 10 numbers whose sum is 216.  x10= 21610=21.6
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