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.

(1 point)
Responses

10 books
10 books

3 books
3 books

48 books
48 books

125 books

Answer 1

To estimate the total number of books Marissa has read in 4 years based on the sample provided, we first calculate the average number of books she read per month from the data in the table:

The sample data shows:
- 4 books
- 1 book
- 3 books
- 3 books
- 2 books

Let's calculate the average (mean) number of books read per month:

1. Add the number of books:
\( 4 + 1 + 3 + 3 + 2 = 13 \)
2. Count the number of entries (months):
There are 5 months.
3. Calculate the average:
\( \text{Average} = \frac{13}{5} = 2.6 \) books per month.

Now, we'll estimate the total number of books read in 4 years. Since there are 12 months in a year, over 4 years, there are:

\( 12 \times 4 = 48 \) months.

Now, multiply the average number of books read per month by the total number of months:

\( 2.6 \times 48 = 124.8 \).

Rounding this to the nearest whole number gives us 125.

Therefore, the estimated population total or the total number of books Marissa has read in 4 years is **125 books**.