Question

Answer the statistical measures and create a box and whiskers plot for the following set of data.

Answer 1

The picture below is the solution to the problem

Brief explanantion

From the data given, It is obvious that:

Minimum = 2

Maximum =

The total number of the data is 3, so the number 7th term is the median

Thus,

Median = 8

To find Q1

`\begin{gathered} Q_1=(1)/(4)(n+1)th\text{ term} \\ Q_1=(1)/(4)(13+1)=(14)/(4)=3.5 \end{gathered}`

Q1 is between the third and fourth term

Therefore, Q1 is

`Q_1=0.5(4)+0.5(6)=5`

Similarly, to find Q3

`\begin{gathered} Q_3=(3)/(4)(n+1)th\text{ term} \\ Q_3=(3)/(4)(13+1)=3*(14)/(4)=3*3.5=10.5 \end{gathered}`

Q3 is between the tenth and the eleventh term

Therefore, Q3 is

`Q_3=0.5(11)+0.5(11)=11`