Question

Christopher looked at his quiz scores shown below for the first and
second semester of his Algebra class.
Semester 1: 78, 91, 88, 83, 94
Semester 2: 91, 96, 80, 77, 88, 85, 92
Which statement about Christopher’s performance is correct?
(1) The interquartile range for semester 1 is greater than the
interquartile range for semester 2.
(2) The median score for semester 1 is greater than the median
score for semester 2.
(3) The mean score for semester 2 is greater than the mean score
for semester 1.
(4) The third quartile for semester 2 is greater than the third
quartile for semester 1.

Answer 1

The answer is (2) because median means the number halfway into the set and the median for semester1 is 88 and the median for semester 2 is 77

Answer 2

What you can do is find out everything mentioned until you find one that matches.
(1) Semester 1's IQR is 8, and semester 2's IQR is 12, so that statement is incorrect
(2) Semester 1's median is 88, and semester 2's median is 88, so that statement is incorrect
(3) Semester 1's mean is 86.8, and semester 2's mean is 87, so that statement is correct.
Since that is correct, the answer is (3).