To estimate the total number of books Marissa has read over the past 4 years, we start by calculating the average number of books she read per month based on the provided sample data.
The sample data for the number of books read per month is: 4, 1, 3, 3, 2.
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Calculate the average number of books read per month: \[ \text{Average} = \frac{\text{Sum of books}}{\text{Number of months}} \] \[ \text{Sum of books} = 4 + 1 + 3 + 3 + 2 = 13 \] \[ \text{Number of months} = 5 \] \[ \text{Average} = \frac{13}{5} = 2.6 \]
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Determine the total number of months in four years: \[ \text{Total months} = 4 \text{ years} \times 12 \text{ months/year} = 48 \text{ months} \]
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Estimate the total number of books read over 4 years: \[ \text{Total books} = \text{Average books per month} \times \text{Total months} \] \[ \text{Total books} = 2.6 \times 48 = 124.8 \]
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Round to the nearest whole number: \[ \text{Estimated total books} \approx 125 \]
So, the estimated total number of books Marissa has read in four years is 125.