If two football running-backs have the same yards-per-carry average, but player A has a larger standard deviation than player B, then
A) player A has a greater chance of making a long gain
B) player A has a greater chance of being caught for a loss
C) player A is the more consistent runner
D) a and b, but not c

Question

Quizplus · Accepted Answer

Since both running-backs have the same yards-per-carry average, we cannot say that one is more consistent than the other. However, since player A has a larger standard deviation, it means that they have a wider range of outcomes, including both longer gains and more losses. Therefore, both options A and B could be true, but we cannot say that player A is more consistent.

If Two Football Running-Backs Have the Same Yards-Per-Carry Average, but Player