Math 170/171 Take Home Exam

Name : ___________________
Exam 1 (1 - 3) (20 points)

The following data is the miles per gallon achieved with a 1994 Chevrolet Cavalier during actual over the road testing from Jan 1995 to Jun 1996. (There is more data available, but I didn't want you to have to work too hard)



31.6 23.5 32.1 36.4 26.4 33.0 29.3 30.9 28.7 28.2 29.1 35.0 32.3
32.6 24.6 36.8 30.2 30.2 37.4 35.8 28.6 32.3 35.7 22.3 24.3 35.7
27.8 23.8 25.2 28.5 28.5 36.6 24.9 31.2 28.6 30.2 32.4 23.8 26.5
30.8 18.9 29.6 27.1 27.2 24.8 30.3 32.6 30.5 30.7 31.7 31.8 32.4


  1. Create a grouped frequency distribution with 9 classes.
Class Boundaries Class Mark Tally Frequency Cum. Freq.
1

 
       
2

 
       
3

 
       
4

 
       
5

 
       
6

 
       
7

 
       
8

 
       
9

 
       
  Sum xxx xxx 52 xxx
  1. Use the raw data to find the:


    1. Mean


    2. Median


    3. Standard deviation


  2. Use the grouped data to find the:


    1. Mean


    2. Median


    3. Standard deviation


  3. Give the range of "reasonable" values and list any outliers (show work).






  4. Construct an ogive.