In: Statistics and Probability
1. Heights of all tall buildings in San Francisco 500 feet or higher.
a) Is this a sample or population? _____ 500 525 529 529 538 541 550 564 565 569 570 573 600 600 641 645 695 779 853
b) Mean __________
c) Standard Deviation ___________
d) Variance ____________
e) 5# Summary ______________________________________
f) IQR _____________
g) Upper fence ____________
h) Lower fence ___________
i) Are there any outliers? _________
If so, identify them: ______________________
j) Make a stemplot k) Draw a boxplot showing any outliers
i) Shape? ______________________ (Leaf unit 10)
2. State the Empirical Rule for symmetric and near normal distributions.
Approximately _____% of the data lie within ___ standard deviation of the mean.
Approximately _____% of the data lie within ___ standard deviations of the mean.
Approximately _____% of the data lie within ___ standard deviations of the mean.
3. Class test scores are normally distributed with mean 64 and standard deviation 10.
Find the proportion of scores using the Empirical Rule.
Make a sketch for each problem.
a) X > 74 a) 44 < X < 74
b) X < 44