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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.