Learning Assessments

1)The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:

65

98

55

62

79

59

51

90

72

56

70

62

66

80

94

79

63

73

71

85

The data are to be organized into a frequency distribution.

 Click here for the Excel Data File

a.

How many classes would you recommend?

  Number of classes

d.

Organize the number of oil changes into a frequency distribution. (Round relative frequency answers to 2 decimal places.)

f

Relative frequency

             50 up to            60

   up to 

   up to 

   up to 

   up to 

  Total

2)Two thousand frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 108 liked Indianapolis best, 432 liked Saint Louis, 1258 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. (Round relative frequency to 3 decimal places.)

  City

Frequency

Relative Frequency

  Indianapolis

  St. Louis

  Chicago

  Milwaukee

The food services division of Cedar River Amusement Park Inc. is studying the amount that families who visit the amusement park spend per day on food and drink. A sample of 40 families who visited the park yesterday revealed they spent the following amounts:

$77

$18

$63

$84

$38

$54

$50

$59

$54

$56

$36

$26

$50

$34

$44  

41

58

58

53

51

62

43

52

53

63

62

62

65

61

52  

60

60

45

66

83

71

63

58

61

71

 Click here for the Excel Data File

a.

Organize the data into a frequency distribution, using seven classes and 15 as the lower limit of the first class. What class interval did you select? (Round your answer to the nearest whole number.)

  Class interval

b.

Where do the data tend to cluster? (Select all that apply.)

4) Ecommerce.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days.

  Lead Time (days)

Frequency

  0 up to 5

6         

  5 up to 10

7         

  10 up to 15

12         

  15 up to 20

8         

  20 up to 25

7         

     Total

40         

a.

How many orders were studied?

  Number of orders

b.

What is the midpoint of the first class? (Round your answer to 1 decimal place.)

  Midpoint

c.

What are the coordinates of the first class for a frequency polygon assuming we draw a frequency polygon using the midpoints? (Round your answer to 1 decimal place.)

x =  , y = 

5) The following cumulative frequency polygon shows the selling price ($000) of houses sold in the Billings, Montana, area.

a.

How many homes were studied?

  Number of homes

b.

What is the class interval?

  Class interval

c.

One hundred homes sold for less than what amount?

  Sold price

$ 

approximately.

d.

About 75% of the homes sold for less than what amount?

  Sold price

$ 

approximately.

e.

Estimate the number of homes in the $150,000 up to $200,000 class.

  Amount

f.

About how many homes sold for less than $225,000?

  Amount