Sample Statistics Test #1
Show all work. No work, no credit. No graphing or statistical calculators allowed.
Sample data set: {1.7, 3.6, 3.6, 7.0, 11.9, 15.0}
1) Find the mean, median, mode(s), range, variance, and standard deviation for the above data. You must
make a table for the variance and standard deviation, i.e. do it the long way.
Mean:_______________
Median:____________
Mode(s):__________________
Range:________________
Variance:________________
Standard Deviation:_______________
Sample data set: {1, 3, 5, 6, 6, 6, 7, 7, 8, 8, 9, 11, 12, 14}
2) Make a frequency table for the above data set. Use four classes and start the first class, Lower Class
Limit with 1. Include relative frequencies and percentages.
3) Make a histogram from the frequency table in #2. Use class boundaries for the rectangles.
4) Find the quartiles of the data set: find Q1, Q2, Q3, the 38th percentile (P38)
Q1 = ____________
Q2 = _____________
Q3 = ____________
P38 = ____________
5) Make a box plot for the above data set.
6) A factory manufactures bolts that have a mean length of 3.00 cm with a standard deviation of 0.2 cm.
Use Chebvshev’s Theorem. to determine the range of lengths for at least 90% of the bolts.