"The average was 75," explains Dr.Cole,handing back the semester's first midterm.The lowest score was 32,and there were several in the 40s.But I had some 95s,96s,and even a 98 - so it's not like it's impossible to do well." Handing back the second midterm,Dr,Cole notes,"The average was 75 again.There were a few in the low 60s,but I got a bunch in the high 80s and into the 90s.It's looking better!" Which of the following statements is TRUE?
A) The means were the same on the two tests, but the standard deviation was lower on the first than on the second.
B) The means were the same on the two tests, but the standard deviation was higher on the first than on the second.
C) The mean was higher on the second test than on the first, but the standard deviation was lower on the second test.
D) The means and standard deviations were the same on the two tests.

Question

Quizplus · Accepted Answer

The means of both tests were the same (75), but the range of scores was wider on the first test (from 32 to 98) compared to the second test (low 60s to 90s), indicating a higher standard deviation on the first test.

"The Average Was 75," Explains Dr