MATH 1070-070: Quiz 1
May 22, 2008
Name:
No outside materials are allowed except pens, pencils, erasers, and calculators. You have one
half hour to complete this quiz. Please keep nervous ticks to a minimal so as to not disrupt
anyone else taking the quiz. Anyone caught cheating will be punished with a grade of 0%
Remember, you were expected to memorize the mean and standard deviation formulas. However, you may
need the following:
IQR = Q3 − Q1
Q1 − 1.5(IQR)
Q3 + 1.5(IQR)
68% in x̄ ± Sx
95% in x̄ ± 2Sx
All in x̄ ± 3Sx
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1. (20 points total) For the following data
289, 44, 34, 44, 55, 64, 12, 17, 10, 6, 160
(a) (5 points) Write out the formulas for mean and standard deviation, x̄ and Sx respectively, with
the data values above. Use your calculator to solve for the mean and standard deviation. (In other
words, don’t just give me the answer. I want to know that you know the formulas and how to put the
data into the formulas. From there, the calculator is fine.)
(b) (5 points) Find the 5-number summary. Please label what each number is that you are giving me.
Don’t just list them.
(c) (5 points) Find the Interquartile Range and then determine if there are any outliers in your data set.
(d) (5 points) Draw and fully label the box-plot for the 5-number summary.
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This page is left intentionally blank for scratch work.
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2. (10 points) The ”‘high school female athletes”’ data file has data for 57 female high school athletes
on the maximum number of pounds they were able to bench press. The data are roughly bell shaped,
with x̄ = 79.9 and S = 13.3. Use the Empirical Rule to describe the distribution. (Hint: Certain
percentages of data lie within 1, 2, and 3 standard deviations of the mean.)
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