# frequency table, stem and leaf plot

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1) A teacher asked each of her students how many novels they had read in the previous six months. The results are shown below.

0 1 5 4 2 1 3 2

2 7 2 5 0 1 0 1

1 2 6 0 2 3 1 2

7 1 4 2 3 1 7 0

0 2 1 1 0 6 1 7

Construct a frequency table for the number of novels read.

2) The frequency table shows the weights in ounces of 30 stones

Weight (oz) Number of Stones

1.2-1.6 5

1.7-2.1 2

2.2-2.6 5

2.7-3.1 5

3.2-3.6 13

Use the above information to construct a cumulative frequency table for the data.

3) Use the following data to construct a bar chart.

Job categories

Clerical Management Maintenance Professional Unemployed

5 4 6 2 1

Create a bar graph and place the above data in a bar graph.

4) The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September 2006.

6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4

Create a histogram using the above data. Use bin width (size of the bar) of 2 hours.

5) Examine the stem and leaf plot below. Find the original data from the stem and leaf plot.

Stem Leaves

1 1,8 6

2 1,1,3,7

3 1,3,3,8,9

4 3,4

6) Create a stem and leaf plot with the following data.

10, 12, 33, 25, 22, 18, 19, 31, 28, 22, 13, 15, 15, 20, 21, 35, 32

Chapter Four (Show all your work)

1) The students of Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

552 593 358 352 537

349 357 596 470 482

2) The salaries of ten randomly selected physicians are shown below. Find the median salary.

$105,000 $149,000 $163,000 $214,000 $225,000

$116,000 $111,000 $791,000 $240,000 $178,000

3) Find the mode(s) for the given sample data.

20, 43, 46, 43, 49, 43, 49

4) The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? Explain.

5) Suppose there are 400 students in your school class. What class rank is the 20th percentile?

6)

Look at the above distribution. What type is it and why?

6) What is the range and standard deviation for the following data:

2, 6, 15, 9, 11, 22, 1, 4, 8, 19

7) Use the following data to figure determine 1) the five number summary and 2) create a boxplot.

2.5, 3.3, 4.2, 5.9, 6.8, 7.2, 7.7, 8.5, 9.2, 9.9, 10.5

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#### Solution Summary

The solution provides explanations for multiple types of questions including box plot, stem and leaf plot, mean and mode.

Stem and leaf plot, frequency table and histogram

1. The number of dry cleaning orders picked up at Sunny Fresh Dry Cleaners was sampled over 12 hour periods. Below is the sample:

71 86 63 46 70 63 49 63 81 71

63 59 45 63 70 64

Construct a stem and leaf plot of the data.

2. Below are the home states of 16 college professors..

Florida Indiana Pennsylvania Arizona Georgia

Florida Tennessee Texas Kansas Arizona

Texas Florida Tennessee Arizona Texas

Indiana

i. Make a frequency table using these 8 states:

Arizona

Florida

Georgia

Indiana

Kansas

Pennsylvania

Tennessee

Texas

ii. What is (are) the mode(s)?

iii. Does it make sense to talk about the average for this data? Why or why not?

iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:

Home State Frequency Percentage of total Measure of Central Angle (in degrees)

Arizona

Florida

Georgia

Indiana

Pennsylvania

Tennessee

Texas

3. Given the histogram below, create a grouped frequency distribution.

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