At General Hospital, nurses are given performance evaluations to determine eligibility for merit pay raises. The supervisor rates the nurses on a scale of 1 to 10(10 being the highest rating) for several activities: promptness, recorded keeping, appearance, and bedside manner with patients. Then an average is determined by giving a weight of 2 for promptness, 3 for record keeping, 1 for appearance, and 4 for bedside manner with patients. What is the average rating for a nurse with ratings of 9 for promptness, 7 for record keeping, 6 for appearance, and 10 for bedside manner?

Question
Asked Sep 12, 2019

At General Hospital, nurses are given performance evaluations to determine eligibility for merit pay raises. The supervisor rates the nurses on a scale of 1 to 10(10 being the highest rating) for several activities: promptness, recorded keeping, appearance, and bedside manner with patients. Then an average is determined by giving a weight of 2 for promptness, 3 for record keeping, 1 for appearance, and 4 for bedside manner with patients. What is the average rating for a nurse with ratings of 9 for promptness, 7 for record keeping, 6 for appearance, and 10 for bedside manner? 

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Expert Answer

Step 1

To find average rating for a nurse, find the weighted average.

The formula for finding the weighted average is ∑xiwi/∑wi.

Here, x represents several activities and w represents weight assigned to that activities.

Step 2

From the given data, the values of x (scores) are 9, 7, 6 and 10, and the values of weights (...

Wei ghted average=2+W
Σν
9(2)+7(3)+6(1)+10(4)
2 31
85
10
=8.5
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Wei ghted average=2+W Σν 9(2)+7(3)+6(1)+10(4) 2 31 85 10 =8.5

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