To estimate the total number of books Marissa has read in 4 years based on the sample of the number of books per month, we'll start by calculating the average number of books she has read per month from the sample data provided.
The sample data is:
- 4
- 1
- 3
- 3
- 2
First, we find the sum of the books read in the sample: \[ 4 + 1 + 3 + 3 + 2 = 13 \]
Next, we determine the number of months for which we have data, which is 5 months in this case. Then, we calculate the average number of books read per month: \[ \text{Average} = \frac{\text{Total Books}}{\text{Number of Months}} = \frac{13}{5} = 2.6 \]
Now, to estimate the total number of books read over 4 years, we need to know the number of months in 4 years. There are 12 months in a year, so: \[ 4 \text{ years} \times 12 \text{ months/year} = 48 \text{ months} \]
Using the average number of books read per month, we can estimate the total number of books read over 48 months: \[ \text{Total Estimate} = \text{Average Monthly} \times \text{Total Months} = 2.6 \times 48 \]
Calculating that gives: \[ 2.6 \times 48 = 124.8 \]
Rounding 124.8 to the nearest whole number yields: \[ 125 \]
Therefore, the estimated population total, or the total number of books Marissa has read in 4 years, is 125 books.