## 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?