Questions: The following summarizes the number of fiction books read last summer by a sample of 27 students. Number of students Number of books read per student --- --- 4 2 10 3 13 4 What is the mean number of books read? Round your answer to the nearest tenth. books

The following summarizes the number of fiction books read last summer by a sample of 27 students.

Number of students  Number of books read per student
---  ---
4  2
10  3
13  4

What is the mean number of books read? Round your answer to the nearest tenth.

books
Transcript text: Home | iCampus Week 1 - ALEKS ALEKS - Na-Daza Mack - Knowle... Question 20 Na-Daza Español The following summarizes the number of fiction books read last summer by a sample of 27 students. \begin{tabular}{|c|c|} \hline Number of students & \begin{tabular}{c} Number of books read \\ per student \end{tabular} \\ \hline 4 & 2 \\ \hline 10 & 3 \\ \hline 13 & 4 \\ \hline \end{tabular} What is the mean number of books read? Round your answer to the nearest tenth. $\square$ books
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Solution

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Solution Steps

Step 1: Calculate the Total Number of Books Read

To find the mean number of books read, we first need to calculate the total number of books read by all students. We do this by multiplying the number of students by the number of books read per student and then summing these products.

\[ \text{Total books read} = (4 \times 2) + (10 \times 3) + (13 \times 4) \]

\[ = 8 + 30 + 52 = 90 \]

Step 2: Calculate the Total Number of Students

The total number of students is given by the sum of the number of students in each category:

\[ \text{Total number of students} = 4 + 10 + 13 = 27 \]

Step 3: Calculate the Mean Number of Books Read

The mean number of books read is calculated by dividing the total number of books read by the total number of students:

\[ \text{Mean number of books read} = \frac{\text{Total books read}}{\text{Total number of students}} = \frac{90}{27} \approx 3.3333 \]

Rounding to the nearest tenth, the mean number of books read is 3.3.

Final Answer

\[ \boxed{3.3 \text{ books}} \]

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