Question

mrs. gonzalezs class
four students compared the data in the box plots.
nadine: the medians are the same because both sets of data have the same minimum and maximum values.
kendrick: mr. yans class has a greater median because the box in that box plot is larger.
tahara: mrs. gonzalezs class has a greater median because the line inside that box is located at a greater value.
dean: the medians are both 7 because the upper quartile for the sets of data is 7.
which student is correct?
nadine
kendrick
tahara
dean

Explanation:

Step1: Recall the definition of median in a box - plot

In a box - plot, the median is represented by the line inside the box.

Step2: Analyze Nadine's statement

The minimum and maximum values have no relation to the median. So Nadine's statement is incorrect.

Step3: Analyze Kendrick's statement

The size of the box (which represents the inter - quartile range \(IQR = Q_3 - Q_1\)) has no relation to the median. So Kendrick's statement is incorrect.

Step4: Analyze Dean's statement

The upper quartile (\(Q_3\)) has no relation to the median. So Dean's statement is incorrect.

Step5: Analyze Tahara's statement

Since the line (representing the median) inside Mrs. Gonzalez's box is located at a greater value than the line (representing the median) in Mr. Yan's box (assuming there is a comparison with another class, and based on the general property of box - plots where the position of the median line determines the median value), Tahara's statement is correct.

Answer:

Tahara