Question

the box plots show renes scores in spanish and in french. which table correctly compares the measures of center and the measures of variability?

Explanation:

Step1: Find Spanish median

The line inside the box of Spanish box - plot is at 75, so Spanish median is 75.

Step2: Find French median

The line inside the box of French box - plot is at 70, so French median is 70.

Step3: Find Spanish range

The maximum value of Spanish scores is 95 and minimum is 55. Range = 95 - 55=40.

Step4: Find French range

The maximum value of French scores is 90 and minimum is 55. Range = 90 - 55 = 35.

Step5: Find Spanish inter - quartile range

The third - quartile (Q3) of Spanish scores is 85 and first - quartile (Q1) is 60. Inter - quartile range = 85 - 60=25.

Step6: Find French inter - quartile range

The third - quartile (Q3) of French scores is 75 and first - quartile (Q1) is 60. Inter - quartile range = 75 - 60 = 15.

Step7: Calculate difference in medians

Difference in medians = 75 - 70 = 5.

Step8: Calculate difference in ranges

Difference in ranges = 40 - 35 = 5.

Step9: Calculate difference in inter - quartile ranges

Difference in inter - quartile ranges = 25 - 15 = 10.

The correct table should be:

	Median	Range	Interquartile Range
French	70	35	15
Difference in Medians	5	Difference in Ranges	5	Difference in Interquartile Ranges	10

Answer:

The correct table has Spanish median 75, French median 70, difference in medians 5, Spanish range 40, French range 35, difference in ranges 5, Spanish inter - quartile range 25, French inter - quartile range 15, and difference in inter - quartile ranges 10.