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Test 1 Review Sheet
Note: Our exam will be held at Boyd 220. Make sure you know how to use a ti-83.
This will be the only calculator you will be allowed to use during the test. When you
enter the room, place all your belongings along the chalkboard. The only thing you’ll
need at your desk is something to write with.
Key Terms: You should know the boldface definitions in all our worksheets so far.
These are most likely going to show up as your multiple choice questions on your
test.
Qualitative data
Quantitative data
Histogram
Outlier
Skewed Left
Skewed Right
Symmetric
Mean
Median
Mode
Range
First Quartile (Q1)
Third Quartile (Q3)
Five Number Summary
Boxplot
Population
Undercoverage
Convenience Sample
Voluntary Response
Nonresponse
Simple Random Sample
Standard Deviation
Percentile
Normal Curve
Normal Distribution
Empirical Formula
Computations: You should be able to also do computations on your exam.
Given a set of data, you should be able to:
1. Draw a histogram and a stem plot.
2. Compute its Mean, Median, Mode, and Range.
3. Determine which measure of centrality is most applicable.
4. Compute its five number summary and boxplot.
5. Determine the percentile of each entry.
You should also be able to compute how the mean, median, mode, and range change
if an additional entry is introduced.
Given a normal distribution, be able to apply the Empirical Formula on the
distribution to determine the range of values that are within one, two, and three
standard deviations of the mean. You should also be able to use the Empirical
Formula to apply to a normalized curve. (i.e. Grading on a Curve.)
You should be able to use a table of random values to obtain a simple random
sample.
Suggested Book Problems:
1. You look at real estate ads for houses in Sarasota, Fl.. There are many houses
ranging from 200K to 400K in price. The few houses on the water, however,
have prices up to $15 million. The distribution of house prices will be:
a. skewed left
b. skewed left
c. symmetric.
2. If a single peaked distribution is skewed to the left, then the median is
generally to the ___________ of the mean.
a. left of the mean.
b. right of the mean.
3. The scale of scores on an IQ test is approximately normal with mean 100 and
standard deviation 15. The organization MENSA, which calls itself “the high
IQ society”, requires an IQ score of 130 or higher for membership. What
percentage of adults would qualify for membership?
4. The length of human pregnancies from conception to birth varies according
to a distribution that is approximately normal with mean 266 days and
standard deviation 16 days. We can expect that about _____% of all completed
pregnancies are between 234 and 298 days.
5. Use the data below to answer the following questions:
101
103
109
115
126
126
129
137
137
140
148
152
154
154
165
165
178
200
a. Use your calculator to compute the mean and median of the data.
b. Use your calculator to compute the five number summary of the data.
c. Compute the percentiles of the following entries:
1. x = 115
2. x = 152
3. x = 165.
6. You must choose a SRS of five of the 440 retail outlets in New York that sell
your company’s products. How would you label this population in order to
use a Table of Random Numbers? Use the column below (starting with the
first entry) to pick your five entries.
127 | 43909 99477 25330 64359 40085 16925 85117 36071
7. A sample of households in a community is selected at random from the
telephone directory. In this community, 4% of households have no telephone
and another 55% have unlisted telephone numbers. The sample will be a
bad sample because of:
a. Undercoverage.
b. Bias.
c. Nonresponse.
d. Voluntary Response.