Question

Hi I would like to see if you could help me with a question. Question 4 please

Answer 1

Given the formula of the quartiles below

`\begin{gathered} Q_1=(1)/(4)(N+1)^(th)term \\ Q_2=(1)/(2)(N+1)^(th)term \\ Q_3=(3)/(4)(N+1)^(th)term \end{gathered}`

where N = 50

Therefore,

`\begin{gathered} Q_1=(1)/(4)(50+1)^(th)=(1)/(4)(51)=12.75th \\ Q_2=(1)/(2)(50+1)^(th)=(1)/(2)(51)=25.5th \\ Q_3=(3)/(4)(50+1)^(th)=(3)/(4)(51)=38.25th \end{gathered}`

Having gotten the position, let us now use it to obtain the values for each quartile.

`\begin{gathered} Q_1=38 \\ Q_2=64 \\ Q_3=83 \end{gathered}`

Let us now sketch the box plot