A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table. Number of Free Throws Made Probability 0 1 2 0.002 0.008 0.04 3 0.12 4 0.23 5 0.28 6 0.21 7 0.09 8 0.02
Which is the correct interpretation of the standard deviation?
If many, many free throws are attempted, the expected number made would be 4.8 free throws.
The number of free throws made out of 8 typically varies from the expected value by 1.4 free throws.
The mean number of free throws made typically varies from the expected number of free throws made by 1.4 free throws. The number of free throws made out of 8 typically varies from the expected number of free throws made by 1.96 free throws.​