Create a chart containing the data, frequencies, relative frequencies, and cumulative relative frequencies to three decimal places.
statistics
Description
1. Use the
following data (first exam scores) from Susan Dean’s spring pre-calculus class:
33; 42;
49; 49; 53; 55; 55; 61; 63; 67; 68; 68; 69; 69; 72; 73; 74; 78; 80; 83; 88; 88;
88; 90; 92; 94; 94; 94; 94; 96; 100
(i) Create
a chart containing the data, frequencies, relative frequencies, and cumulative
relative frequencies to three decimal places.
(ii) Calculate
the following to one decimal place:
a. The
sample mean
b. The
sample standard deviation
c.The
median
2.
The Highway Patrol, using radar,
checked the speeds (in mph) of 30 passing motorists at a checkpoint. The
results are listed below:
|
44 |
38 |
41 |
50 |
36 |
36 |
43 |
42 |
49 |
48 |
|
35 |
40 |
37 |
41 |
43 |
50 |
45 |
39 |
45 |
38 |
|
50 |
41 |
47 |
36 |
35 |
40 |
42 |
43 |
48 |
33 |
|
|
|
|
|
|
|
|
|
|
|
Construct
frequency distribution, a relative frequency distribution, and a cumulative
frequency distribution using six classes. Find the midpoint of each class.
Construct a frequency histogram, a relative frequency histogram and a
frequency polygon using six classes.
Construct
an ogive using six classes.
If the policeman writes a ticket to anyone driving over 41 miles per hr,
what percent of the cars will get a ticket?
3. The data below represent the infant mortality rates (per 1,000 births)
and the life expectancies for seven selected countries in Africa. Use a scatter
plot to display the data.
|
Infant
Mortality |
|
63 |
199 |
71 |
61 |
67 |
35 |
194 |
|
|
Life Expectancy |
|
|
45 |
31 |
51 |
47 |
39 |
70 |
37 |
Is there
a relationship between the infant mortality and the life expectancy?
4.
A
researcher claims that that each year, there is an average of 300 victims of
identity theft in major cities. Twelve were randomly selected, and the number
of victims of identity theft in each city is shown. Find the (a) Mean (b)
Median (c) Mode (d) Midrange.
Can
you conclude that the researcher was correct?
