Question

the line plot shows the number of books that 12 students read in ms. brook’s summer book club. complete the following sentences by filling in the blanks.
number of books read during the summer
the median of the data is
the range of the data is
the mean of the data is

Explanation:

Step1: Find the median

The data set has 12 values. The median is the average of the 6th and 7th values.
Order the data: \(3,3,3,4,4,5,5,5,9,10,12\)
The 6th value is \(5\) and the 7th value is \(5\).
Median \(=\frac{5 + 5}{2}=5\)

Step2: Find the range

Range \(=\text{Max}-\text{Min}\)
Max \(=12\), Min \(=3\)
Range \(=12-3 = 9\)

Step3: Find the mean

Sum of data: \((3\times3)+(4\times2)+(5\times3)+9 + 10+12\)
\(=9+8+15+9+10+12\)
\(=63\)
Mean \(=\frac{63}{12}=5.25\)

Answer:

A. \(5\)
B. \(9\)
C. \(5.25\)