Test #1

Statistics

Tanaka

1. A data set on weekly expenditures (dollars) on bakery products for a sample of 500 households has a minimum value of $1 and a maximum value of $18. Suppose we want to group these data into five classes of equal widths.

(a) Assuming we take the lower limit of the first class as $1 and the upper limit of the fifth class as $20, write the class limits for all five classes.

(b) Determine the class boundaries and class widths.

(c) Find the class midpoints.

2. Briefly explain and illustrate with the help of graphs a symmetric histogram, a histogram skewed to the right, and a histogram skewed to the left.

3. Twenty-five army inductees were given a blood test to determine their blood type. The data set is as follows:

A B B AB O O O B AB B B B O A O A O O O AB AB A O B A

a. Prepare a frequency distribution table.

b. Calculate the relative frequencies and percentages for all categories.

c. Draw a bar graph for the frequency distribution and a pie chart for the percentages.

4. The following data set gives the record high temperatures for each of the 50 states.

112 100 127 120 134 118 105 110 109 112 110 118 117 116 118 122 114 114 105 109 107 112 114 115 118

117 118 122 106 110 116 108 110 121 113 120 119 111 104 111 120 113 120 117 105 110 118 112 114 114

a. Prepare a frequency distribution table. Take 100 as the lower limit of the first class and 5 as the width of each class.

b. Calculate the relative frequencies and percentages for all classes.

c. Draw a frequency histogram and a polygon.

5. Refer to the frequency distribution prepared in Problem 4. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions using that table. Draw an ogive for the cumulative percentage distribution.

6. The following data give the time served (in months) by 35 inmates who were released recently.

37 6 20 5 25 30 24 10 12 20 24 8 26 15 13 22 72 80 96 30

84 80 70 40 92 36 25 90 36 32 72 45 38 18 9

(a) Prepare a stem-and-leaf display for these data. Arrange the leaves for each stem in increasing order.

(b) Condense the stem-and-leaf display by grouping the stems as 0-2, 3-5, and 6-9.

Subject | Mathematics |

Due By (Pacific Time) | 03/05/2014 07:11 pm |

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