Question

Which statements about the box plot are correct? Check all that apply.

Answer 1

Answer:

The correct options are 1 and 3.

Step-by-step explanation:

From the given box plot it is clear that

Q₁ is 25% of a data.

Median is 50% of a data.

Q₃ is 75% of a data.

34 is minimum value of the data and 46 is median it means 50% of the data values lies between 34 and 46. Therefore option 1 is correct.

42 is first quartile and and 70 is third quartile. it means 50% of the data values lies between 42 and 70. Therefore option 2 is incorrect.

The difference between Minimum value and first quartile, Maximum value and third quartile is less than 1.5×(IQR), therefore it is unlikely to have any outliers in the data.

Hence option 3 is correct.

The interquartile range of the data is

The interquartile range is 28. Therefore option 4 is incorrect.

Range of the data is

The range is 42. Therefore option 5 is incorrect.

Step-by-step explanation:

Answer 2

Answer:

The correct options are 1 and 3.

Step-by-step explanation:

From the given box plot it is clear that

$\text{Minimum values}=34$

$Q_1=42$

Q₁ is 25% of a data.

$Median=46$

Median is 50% of a data.

$Q_3=70$

Q₃ is 75% of a data.

$\text{Maximum values}=76$

34 is minimum value of the data and 46 is median it means 50% of the data values lies between 34 and 46. Therefore option 1 is correct.

42 is first quartile and and 70 is third quartile. it means 50% of the data values lies between 42 and 70. Therefore option 2 is incorrect.

The difference between Minimum value and first quartile, Maximum value and third quartile is less than 1.5×(IQR), therefore it is unlikely to have any outliers in the data.

Hence option 3 is correct.

The interquartile range of the data is

$IQR=Q_3-Q_1$

$IQR=70-42=28$

The interquartile range is 28. Therefore option 4 is incorrect.

Range of the data is

$Range=Maximum-Minimum$

$Range=76-34=42$

The range is 42. Therefore option 5 is incorrect.