Question

Mr. Whitman gave a test to his 32 math students. He felt the results were low, so he retested them one week later. The results of the original and retake test are shown below.
A. What is the difference in the median grade?
B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.
C. If the students need a 65 in order to pass the test, how many more passed the retake?

Answer 1

The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

What is box and whiskers plot?

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

• A.The difference in the median grade-

The median of first test is 60 while the second test is 80. Thus, the difference is,

$d=80-60\\d=20$

• B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

• C. If the students need a 65 in order to pass the test, how many more passed the retake?

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

$n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8$

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Learn more about the box and whiskers plot here;

https://brainly.com/question/9559392

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