Normal Curve Quiz

Module 1

In a true normal curve, which of the following are equal? (check all that apply)

Mean, median, and mode

What percentage of a population falls within 1 standard deviation from the mean in a standard normal curve?

68%

What percentage of a population falls within 2 standard deviations from the mean in a standard normal curve?

95%

What percentage of a population falls within 3 standard deviations from the mean in a standard normal curve? 

99%

If you measure the height of 500 people and calculate the mean to be 5' 10", the standard deviation to be 4", and a Shapiro-Wilk test gives you a p value of .434, what can you safely conclude?

The data is close enough that we can assume it is normally distributed

If you take the average weight of a group of toddlers and find that their average weight is 35 lbs with a standard deviation of 2 lbs, in what range will 95% of toddler weights be?

31 - 39 lbs

If you study 3 point shots in the NBA, finding that the average player hits 37% of his shots, with a standard deviation of 1.5%, which range of 3 point shot accuracy will capture 68% of all shooters? 

35.5% - 38.5%