MS 150 Statistics Spring 2005 Test One • Name:

I. Matching

____ 1. Colors: Mauve, indigo, sepia, ceruleanA. 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, 2002C. 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)