find the five - number summary for this data set showing the number of books students read over summer…

find the five - number summary for this data set showing the number of books students read over summer break. start by finding the median number of books read. 1 2 2 4 4 5 7 8 10 12 13 14 the median number of books read is books.

Answer

Explanation:

Step1: Determine number of data points

There are $n = 12$ data - points.

Step2: Calculate position of median

Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data - points. $\frac{n}{2}=\frac{12}{2}=6$ and $\frac{n}{2}+1 = 7$.

Step3: Find median values

The 6th value is 5 and the 7th value is 7.

Step4: Compute median

Median $=\frac{5 + 7}{2}=\frac{12}{2}=6$.