Download The following sample data represent the gasoline mileages (in miles

Stat319 Homework chapter 1. Instructor: ____________________. Student ID#________
Name: ______________________________. Section: 1/2/3/4/6/7/8/9 or (8/9/10/11am 1/2pm).
The following sample data represent the gasoline mileages (in miles per gallon,
mpg) determined for cars in a particular weight class:
25.1
34.9
30.0
34.8
28.0
21.1
35.9
29.4
23.4
34.2
29.0
24.3
34.5
16.2
33.9
31.2
18.3
26.4
35.3
34.8
34.5
26.6
35.3
13.1
30.7
35.6
29.4
38.8
33.7
39.2
35.7
27.3
33.5
24.5
32.0
34.4
29.5
36.0
38.1
39.9
37.9
32.0
36.6
33.6
37.7
25.2
34.8
28.7
28.6
36.8
a) Calculate the mean, median and standard deviation.
b) Using 10 mpg as the lower limit of the first class interval, construct a table
summarizing the sample frequency distribution having intervals of width 5
mpg.
c) Plot (b) above as a histogram.
d) Comment on the shape of the distribution.
e) Use the histogram above, find the grouped mean and grouped standard
deviation. How are these answers different (or similar) to your answers in (a)
above?
f) Draw a stem and leaf plot.
g) Using the actual sample data, find the coefficient of variation and the
coefficient of skewness. Comment on them.
h) Find the first and third quartiles and the 95th percentile.
i) Does the data satisfy the empirical rule? Justify your answer.
j) Find the z-score for a car with gas mileage of 38.1.