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
3 books
3 books
125 books
125 books
48 books
48 books
10 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.
(1 point)
Responses
3 books
3 books
125 books
125 books
48 books
48 books
10 books
Answers
GPT-4o mini
To estimate the total number of books Marissa has read in 4 years, we first need to calculate the average number of books she has read per month based on the given sample.
The sample provided shows the following number of books per month:
- 4
- 1
- 3
- 3
- 2
Let's calculate the average:
1. Sum of the sample:
\( 4 + 1 + 3 + 3 + 2 = 13 \)
2. Number of months in the sample:
There are 5 months in the sample.
3. Average number of books per month:
\( \text{Average} = \frac{13}{5} = 2.6 \) books
Now, we'll estimate the total number of books Marissa would read in 4 years. There are 48 months in 4 years (12 months per year x 4):
4. Total estimate over 4 years:
\( 2.6 \, \text{books/month} \times 48 \, \text{months} = 124.8 \)
Rounding to the nearest whole number gives us:
**125 books**
So the correct response is **125 books**.
The sample provided shows the following number of books per month:
- 4
- 1
- 3
- 3
- 2
Let's calculate the average:
1. Sum of the sample:
\( 4 + 1 + 3 + 3 + 2 = 13 \)
2. Number of months in the sample:
There are 5 months in the sample.
3. Average number of books per month:
\( \text{Average} = \frac{13}{5} = 2.6 \) books
Now, we'll estimate the total number of books Marissa would read in 4 years. There are 48 months in 4 years (12 months per year x 4):
4. Total estimate over 4 years:
\( 2.6 \, \text{books/month} \times 48 \, \text{months} = 124.8 \)
Rounding to the nearest whole number gives us:
**125 books**
So the correct response is **125 books**.