Question

ASAP!!! ILL GIVE BRAINLIEST
Which statements about the box plot are correct? Check all that apply.




Fifty percent of the data values lies between 50 and 110.


Seventy-five percent of the data values lies between 20 and 50.


It is unlikely that there are any outliers.


The interquartile range is 25.


The range is 78.

Answer 1

Answer:

The correct options are 2 and 4.

Step-by-step explanation:

From the given box plot it is clear that

$\text{Minimum value}=20$

$Q_1=25$

$Median=40$

$Q_3=50$

$\text{Maximum value}=110$

We know that these number divides the data in four equal parts.

$Q_1=25\%$

$Median=50%$

$Q_3=75\%$

25% of the data values lies between 50 and 110. Therefore option 1 is incorrect.

Seventy-five percent of the data values lies between 20 and 50. Therefore option 2 is correct.

It is unlikely that there are any outliers. This statement is not true because the is a huge difference between third quartile and maximum value.

Therefore option 3 is incorrect.

The interquartile range is

$IQR=Q_3-Q_1=50-25=25$

Therefore option 4 is correct.

The range is

Range = Maximum-Minimum

$Range=110-20=90$

Therefore option 5 is incorrect.

Answer 2

Answer:

-Seventy-five percent of the data values lies between 20 and 50.

-The interquartile range is 25.

Step-by-step explanation: