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6. The case mix index for a hospital for the past five months has been 2.94, 3.26, 3.42, 3.22, and 3.51.

What is the average case mix index for these five months, rounded to the nearest hundredth?

A. 3.26
B. 3.42
C. 3.51
D. 3.58

Sagot :

GinnyAnswer
Sure! Let's go through the steps to find the average case mix index for the past five months.

1. List the case mix indices:
We are given the following case mix indices for the past five months:
- 2.94
- 3.26
- 3.42
- 3.22
- 3.26
- 3.51
- 3.58

2. Calculate the total sum:
We add all the case mix indices together to find the total sum:
[tex]\[ 2.94 + 3.26 + 3.42 + 3.22 + 3.26 + 3.51 + 3.58 = 23.19 \][/tex]

3. Count the number of months:
There are 7 case mix indices given, so the number of months is 7.

4. Find the average case mix index:
The average case mix index is calculated by dividing the total sum by the number of months:
[tex]\[ \text{Average} = \frac{\text{Total Sum}}{\text{Number of Months}} = \frac{23.19}{7} \approx 3.3128571428571427 \][/tex]

5. Round the average to the nearest hundredth:
To get the final average case mix index rounded to the nearest hundredth:
[tex]\[ 3.3128571428571427 \approx 3.31 \][/tex]

Therefore, the average case mix index for the past five months, rounded to the nearest hundredth, is 3.31.
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