Multiple choice

Data set X: 85, 87, 87, 89, 90 Data set Y: 80, 81, 88, 92, y If the mean of data set X equals the mean of data set Y, what is the value of y?

  1. 90

  2. 92

  3. 95

  4. 97
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D Correct answer
Explanation

Mean of X = (85+87+87+89+90)/5 = 438/5 = 87.6. Mean of Y = (80+81+88+92+y)/5 = (341+y)/5. Setting means equal: 438 = 341 + y => y = 97.

AI explanation

First, find the mean of data set X by summing its values, which gives a total of 438, and dividing by 5, resulting in a mean of 87.6. For data set Y to have the same mean, its sum must be 87.6 multiplied by 5, which is 438. The sum of the known values in data set Y is 341, so y must be 438 minus 341, which equals 97.

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