### MS 150 Statistics Spring 2005 Test One • Name:

#### I. Matching

 ____ 1. Colors: Mauve, indigo, sepia, cerulean A. Interval ____ 2. Top ten names of baby girl names for babies born in 2003 in the United States in descending rank order of popularity: Emily, Emma, Madison, Hannah, Olivia, Abigail, Alexis, Ashley, Elizabeth, Samantha. B. Ordinal ____ 3. Year: 1981, 1987, 1999, 2002 C. Nominal ____ 4. Weight in pounds. D. Ratio

#### II. Pareto Chart

Cadence
81
84
90
84
84
82
78
85
90
82
81
84
90
84
84
82
78
85
90
82

5. Sketch a Pareto chart of the fall 2004 promotion rates in the following mathematics courses.

Coursepromotion rate
MS 0900.603
MS 0950.714
MS 0980.625
MS 1000.600

#### III. Basic statistics and histogram

Use the cadence data for this section. Cadence refers to the rate at which a runner's legs turn-over. Beginning runners often have an inefficient, low cadence. Runners train to maintain a cadence of at least 60. This means that the right foot strikes the ground 60 times in a minute. Current thinking is that peak efficiency is probably between 80 and 90. The table is a table of cadence data gathered by the instructor during a joggle in town.

1. __________ Find the sample size n for the cadence data.
2. __________ Find the minimum cadence.
3. __________ Find the maximum cadence.
4. __________ Find the range of the cadence.
5. __________ Find the median cadence.
6. __________ Find the mode for the cadence.
7. __________ Find the sample mean cadence.
8. __________ Find the sample standard deviation for the cadence.
9. __________ Find the sample coefficient of variation CV.
10. __________ If this data is to be divided into five bins, what is the width of a single bin?
11. Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table provided.
BinsFrequencyRelative Frequency

Sum:
12. Sketch a relative frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate.
Table of statistical functions used by Excel
Statistic or Parameter Symbol Equations Excel
Square root =SQRT(number)
Sample mean x Σx/n =AVERAGE(data)
Sample standard deviation sx =STDEV(data)
Sample Coefficient of Variation CV sx/x =STDEV(data)/AVERAGE(data)