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.
