Answer :
The arithmetic mean, also known as the average, for set X is 16 and for set Y is 6.57. This is calculated by adding all numbers in each set and then dividing by the total number of elements.
In the field of Mathematics, the arithmetic mean is simply referred to as the average.
It is calculated by adding all elements in a set and then dividing by the total number of elements. In this question, the arithmetic mean of X = [10, 12, 14, 16, 18, 20, 22] and Y = [4, 5, 8, 16, 7, 4, 2] is sought.
The arithmetic mean is found separately for each set of numbers.
First, add up the numbers for set X which gives you a sum of 112.
Since there are 7 numbers in set X, you divide 112 by 7, giving you an arithmetic mean of 16 for set X.
Similarly, adding up the numbers for set Y gives you a sum of 46.
Since there are 7 numbers in set Y, you divide 46 by 7 yielding an arithmetic mean of 6.57 for set Y.
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