Answer:
C. 187 and 345
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 266 yards per game, standard deviation of 79 yards.
Between which two values do you expect the middle 68% of his performance to be?
By the Empirical Rule, within 1 standard deviation of the mean. So between 266 - 79 = 187 yards and 266 + 79 = 345 yards. The correct answer is given by option C.
