Question

the line plot shows the number of books 12 students read during the summer. each dot represents one student. drag tiles to match the statistic with its value.
number of books read
0 1 2 3 4 5 6 7 8 9 10 11 12
4.5 6 5 12 11
central tendency value
range
mean
median
mode 3 & 5

Explanation:

Step1: Find the range

Range = maximum - minimum. Maximum is 12, minimum is 0.
$$12 - 0=12$$

Step2: Find the mean

Sum of data: \(0\times1 + 1\times1+2\times1 + 3\times2+4\times1+5\times2+6\times1+9\times1+10\times1+12\times1\)
\(=0 + 1+2+6+4 + 10+6+9+10+12\)
\(=60\)
Mean=\(\frac{60}{12}=5\)

Step3: Find the median

Arrange data: \(0,1,2,3,3,4,5,5,6,9,10,12\)
Median=\(\frac{4 + 5}{2}=4.5\)

Answer:

Range: 12, Mean: 5, Median: 4.5