Question

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 8 for promptness, 9 for record keeping, 3 for appearance, and 1 for bedside manner? (Enter your answer to one decimal place.)

Answer 1

GIVEN:

The ratings for a nurse is as follows:

8 for promptness, 9 for record keeping, 3 for appearance, and 1 for bedside manner

Their corresponding weights are given by:

2 for promptness, 4 for record keeping, 1 for appearance, and 3 for bedside manner with patients

TO FIND:

Average rating for a nurse = ?

FORMULA USED:

The formula for weighted average is given by,

Weighted average $=\sum xw/\sum w$

where $x$ is a data value and $w$ is the weight assigned to that data value.

CALCULATION:

Rating $(x)$	Weight $(w)$	Weighted value $(xw)$
8	2	8*2 = 16
9	4	9*4 = 36
3	1	3*1 = 3
1	3	1*3 = 3

We know that

Weighted average $=\sum xw/\sum w$

  $=(16+36+3+3)/(2+4+1+3)$

  $=58/10$

Weighted average $=5.8$

Thus the average rating for a nurse with ratings of 8 for promptness, 9 for record keeping, 3 for appearance, and 1 for bedside manner is $5.8$.