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A shoe manufacturer selected a random sample of male students attending a large high school

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1. A shoe manufacturer selected a random sample of male students attending a large high school. The smallest shoe that will comfortably fit each selected male was recorded. No half sizes were included.
   1. Construct a frequency table for the data.
       

Shoe Size	Frequency
7	2
8	6
9	14
10	13
11	11
12	4

b)  Construct a histogram based on your frequency table.
 

c)  Describe the data distribution in context (shape, center, spread, and any outliers).
 

2. A bank wants to improve its customer service. Before deciding to hire more workers, the manager decides to get some information on the waiting times customers currently experience. During a week, 50 customers were randomly selected, and their waiting times, in minutes, were recorded.

The data are as follows: 18.5, 9.1, 3.1, 6.2, 1.3, 0.5, 4.2, 5.2, 0.0, 10.8, 5.8, 1.8, 1.5, 1.9, 0.4, 3.5, 8.5, 11.1, 0.3, 1.2, 4.4, 3.8, 5.8, 1.9, 3.6, 2.5, 4.5, 5.8, 1.5, 0.7, 0.8, 0.1, 9.7, 2.6, 0.8, 1.2, 2.9, 3.0, 3.2, 2.8, 10.9, 0.1, 5.9, 1.4, 0.3, 5.5, 4.8, 0.9, 1.6, and 2.2.

 

1. 1. Construct a frequency table of the data.  (Remember to define the classes so that there are approximately 5-7 groupings.)

 

1. 2. Construct a histogram.  Use graph paper!

 

1. 3. Describe the data distribution in context.

 

 

3.  Suzie surveyed her class with the following question: “How many hours of TV do you typically watch in one week.”  Below is the data she collected:

 

8	2	6	4	4	5	6	1	11	10
4	2	1	10	6	10	7	6	2	9
11	7	8	6	9	2	4	2	2	7

1. Create a  frequency table and histogram for this data.

 

 

 

2. Describe the data distribution in context. 

 

 

 

4.  The number of representatives each state has in the US Congress depends on the population of the state.  Below are the numbers of representatives in each state in the 100^th Congress (1988-1990).

 

7	1	5	4	45	6	6	1	19	10
2	2	22	10	6	5	7	8	2	8
11	18	8	5	9	2	3	2	2	14
3	34	11	1	21	6	5	23	2	6
1	7	27	3	1	10	8	4	9	1

 

 

1. 1. State the minimum number of representatives.   

 

 

1. 2. State the maximum number of representatives.  

 

 

1. 3. Find the range.

 

 

1. 4. Make a frequency table showing the distribution of the number of representatives per state.  Use intervals of length 5 (ie 1-5, 6-10…)

 

           

1. 5. Create a histogram to represent the data.