Question
Marissa has tracked the number of books she has read per month for the past 4 years. A sample of the number of books per month is shown in the table.
Number of Books per Month
4
1
3
3
2
Estimate the population total, or the total number of books Marissa has read in 4 years, rounded to the nearest whole number.
3 books
3 books
10 books
10 books
125 books
125 books
48 books
Number of Books per Month
4
1
3
3
2
Estimate the population total, or the total number of books Marissa has read in 4 years, rounded to the nearest whole number.
3 books
3 books
10 books
10 books
125 books
125 books
48 books
Answers
GPT-4o mini
To estimate the total number of books Marissa has read in 4 years, we first need to understand how many months are in 4 years.
There are 12 months in a year, so in 4 years, there are:
\[
4 \text{ years} \times 12 \text{ months/year} = 48 \text{ months}
\]
Next, we can calculate the average number of books Marissa read per month based on the data you provided. Let's sum the sample data:
4 + 1 + 3 + 3 + 2 = 13
Now, let's calculate the average number of books read per month:
\[
\text{Average per month} = \frac{\text{Total from sample}}{\text{Number of samples}} = \frac{13}{5} = 2.6
\]
To estimate the total number of books read in 48 months, we multiply the average number of books read per month by the total number of months:
\[
\text{Estimated total} = 2.6 \text{ books/month} \times 48 \text{ months} = 124.8 \text{ books}
\]
Rounding 124.8 to the nearest whole number gives us 125 books.
Thus, the estimated total number of books Marissa has read in 4 years is **125 books**.
There are 12 months in a year, so in 4 years, there are:
\[
4 \text{ years} \times 12 \text{ months/year} = 48 \text{ months}
\]
Next, we can calculate the average number of books Marissa read per month based on the data you provided. Let's sum the sample data:
4 + 1 + 3 + 3 + 2 = 13
Now, let's calculate the average number of books read per month:
\[
\text{Average per month} = \frac{\text{Total from sample}}{\text{Number of samples}} = \frac{13}{5} = 2.6
\]
To estimate the total number of books read in 48 months, we multiply the average number of books read per month by the total number of months:
\[
\text{Estimated total} = 2.6 \text{ books/month} \times 48 \text{ months} = 124.8 \text{ books}
\]
Rounding 124.8 to the nearest whole number gives us 125 books.
Thus, the estimated total number of books Marissa has read in 4 years is **125 books**.