The boxplots for the grade scores in the midterm exam in a Calculus I class for

Question

The boxplots for the grade scores in the midterm exam in a Calculus I class for two different classes is below. Fill in the blank with one of these answers (you need to type the exact phase to get credit): Both classes are about equal Class 1 Class 2 Neither it is impossible to tell A. Which class is likely to have a greater percentage of students with grades smaller or equal to 70? B. Which class has 50% percentage of students with grades between 70 and 80? C. For which class 25% of students received grades between 60 and 70?

Explanation / Answer

A. For both cases median is at 70.So for both data set 50% of the values lie below 70.

Hence A) BOTH CLASSES ARE ABOUT EQUAL IS OUR ANSWER.

B) Between Q1 and Q3 50% of values lie. Here we can clearly see that for both cases 50% of values do not lie between 70 and 80.

Hence, NEITHER IS CORRECT ANSWER.

C) Between Q1 and Median(Q2) 25% of values lie.Here,

For class 2, 25% of values lie between 60 and 70.(seen from diagram).

Hence, CLASS 2 IS THE CORRECT ANSWER.

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