What percent of values is between the first and third quartiles?
The data set is 50, 75, 100, 125, 150, 175, 200, 225, 250

Respuesta :

Answer:

[tex]55.555...\ (\%)[/tex]

Step-by-step explanation:

What percent of values is between the first and third quartiles

[tex]\text{Quartile 1} =\frac{75+100}{2} =87.5[/tex]

[tex]\text{Quartile 2} =\frac{200+225}{2} =212.5[/tex]

50 < 75 < 87.5 < 100 < 125 < 150 < 175 < 200 < 212.5 < 225 < 250

Then we have 5 values between the first and third quartiles which are :

100, 125, 150, 175, 200

Therefore,

The percent of values between the first and third quartiles is :

[tex]\frac{5}{9} \times 100=55.555...[/tex]