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Intro-Stat, Math 203, Quiz 1
  1. Females in this class reported the following values for the length of their hair (in inches).
    2. Female Hair Length
    4 4 8 8 10 10 12 12 12 14 14 14 18
    1. Make a stem and leaf plot of this data.

      2.  

       
       
       
       
       
       
       
       
       
       
       
       
       
       
       

    2. Would you use the five-number summary, or the mean and standard deviation to describe the center and spread of this data set? Explain your choice (but do NOT calculate the values).

      3.  

       
       
       
       
       
       
       
       
       
       

  2. Males in this class reported the following values for the length of their hair (in inches).
      3.  
      Male Hair Length
      0.5 0.5 0.5 0.8 0.8 1.0 1.0 1.0 1.0
      1.0 1.0 1.0 2.0 2.0 2.0 2.0 4.0  
    1. One of these data is an outlier, which one?





      2.  

    2. Remove the outlier and calculate the mean and standard deviation of this data set (male hair length).

      3.  

       
       
       
       
       

    3. The standard deviation for female hair length (without the outlier in that data set as well) is 3.56 inches. Which data set (male or female hair length) is more spread out? How do you know?

      4.  

       
       
       
       
       
       

  3. Assume that bowling scores for the Thursday night Pella league are normally distributed with a mean of 165 and standard deviation of 27.
    1. What percentage of bowlers in this league score over 100?

      2.  

       
       
       
       
       
       
       

    2. What percentage of bowlers score between 200 and 250?

      3.  

       
       
       
       
       
       
       

    3. How high must a bowler score to be in the top 5% of this league?