Question 1122319: 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, record keeping, appearance, and bedside manner with patients. Then an average is determined by giving a weight of 2 for promptness, 4 for record keeping, 1 for appearance, and 3 for bedside manner with patients. What is the average rating for a nurse with ratings of 2 for promptness, 7 for record keeping, 2 for appearance, and 3 for bedside manner? (Enter your answer to one decimal place.)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the average for frequency data is calculated as follows:
set up a table as shown below:
category weight rating weight * rating
promptness 2 2 4
record keeping 4 7 28
appearance 1 2 2
bedside manner 3 3 9
total 10 n/a 43
you multiply the rating by the weight to get the weight * rating.
you then add up all the weight * rating scores.
you then add up all the weight scores.
you then divide the sum of the weight * rating scores by the sum of the weight scores to get the average.
the sum of the weight * rating scores was 43.
the sum of the weight scores was 10.
the average was 43 / 10 = 4.3
the weighting factor of each category is equivalent to the frequency of each category.
here's a reference that talks about finding the average of a frequency table.
https://www.mathsisfun.com/data/mean-frequency-table.html
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