Question

question #13
the box plot shows the scores of 10 students in 4 different subjects.
which statement is true?
a the interquartile range of scores of students in science and english is the same.
b the interquartile range of the scores of students in social science and math is the same.
c the interquartile range of the scores of students in social science is greater than that in science.
d the interquartile range of scores of students in science is greater than that in math.

Explanation:

Step1: Recall inter - quartile range (IQR) definition

IQR = Q3 - Q1, where Q1 is the first quartile and Q3 is the third quartile. In a box - plot, the length of the box represents the IQR.

Step2: Analyze box - lengths for each subject

For Science: The box extends from approximately 20 to 50, so IQR_Science=50 - 20 = 30.
For English: The box extends from approximately 40 to 60, so IQR_English=60 - 40 = 20.
For Social Science: The box extends from approximately 40 to 70, so IQR_SocialScience=70 - 40 = 30.
For Math: The box extends from approximately 30 to 70, so IQR_Math=70 - 30 = 40.

Step3: Evaluate each option

• Option A: IQR_Science = 30, IQR_English = 20, not the same.
• Option B: IQR_SocialScience = 30, IQR_Math = 40, not the same.
• Option C: IQR_SocialScience = 30, IQR_Science = 30, they are equal, not greater.
• Option D: IQR_Science = 30, IQR_Math = 40, IQR_Science < IQR_Math, this option is false.

Answer:

A. The inter - quartile range of scores of students in Science and English is the same. (False)
B. The inter - quartile range of the scores of students in Social Science and Math is the same. (False)
C. The inter - quartile range of the scores of students in Social Science is greater than that in Science. (False)
D. The inter - quartile range of scores of students in Science is greater than that in Math. (False)

Since none of the options are true, if this is a multiple - choice question with the given options, there is no correct answer among them.