# MATH 136 Statistics Practice Quiz

Math 136 Quiz 2Chapter 2 Review

111

You may use the class notes, the textbook, collaborate with your classmates, and ask questions of your instructor. To

receive full credit, you must write up your own solutions independently, show all of your work, write neatly, and cite who

you

a craft, aim to hone this skill!

73.7 worked

74.2 with.

70.2Writing

62.7 mathematics

53.6 68.4 well

68.3 is68.4

cal

n

st

Due: Tuesday, March 8, 2022

64.4

45.0

69.6

73.7

73.3

72.7

63.2

71.1

Problem

a summary of the racial composition of the U.S. population. The races

64.9

66.51. The

63.4 2010

74.1Census

64.9results

63.0 include

70.7

reported by the populations of the United States and the State of California are summarized below. The data are given

64.5

63.8

66.4

76.5

67.0 72.9 74.6

in millions.

54.6

58.2

67.3

70.9

52.5

61.7

70.0

64.4

Race 69.3

73.3

67.8

66.1

72.9

62.3

68.5

White68.1

67.6

68.6

67.6

66.6

79.2

U.S.

223.6

BlackU.S.

orCensus

African

American

38.9

Source:

Bureau

American Indian and Alaska Native

2.9

Note: The state with the highest home ownership rate is

Asian

14.7

West Virginia and the lowest is Washington, DC.

Hawaiian

Other

Islander

0.55:

With aNative

lower class

limit of and

the first

classPacific

of 45 and

a class width of

Some Other Race

19.1

(a) Construct a frequency distribution.

Two or aMore

Races

9.0

(b) Construct

relative

frequency distribution.

CA

21.5

2.3

0.4

4.9

0.1

6.3

1.8

(c)

(d)

(e)

(f)

Construct

a frequency

of the data.

(a) (1 point)

Is thehistogram

data categorical

or quantitative?

Construct

a relative

frequency

histogramfrequency

of the data.

(b) (1 point)

Construct

a relative

distribution of races in CA.

Describe

the shape

of the

distribution.

(c) (1 point)

What

percentage

of CA residents are two or more races?

Repeat

(a)–(e)

using

a lower class

limitresidents

for the first

(d) (1parts

point)

What

percentage

of CA

are not white?

class of 40 and a class width of 10.

(e) (1 point) Use StatCrunch to make a side-by-side relative frequency bar graph of the U.S. and California data.

(g) Does one frequency distribution provide a better summary

(f) (1 point) Why is it best to use relative frequencies to compare the populations of the U.S. and California?

of the data than the other? Explain.

7. Diameter of a Cookie The following data represent the

Problem 2. The following data represent the diameter, in inches, of a random sample of thirty four chocolate chip

diameter (in inches) of a random sample of 34 Keebler Chips

cookies.

Deluxe™

Chocolate Chip Cookies.

2.3414

2.3010

2.2850

2.3015

2.2850

2.3019

2.2400

2.3005

2.2630

2.2853

2.3360

2.3696

2.3300

2.3290

2.2303

2.2600

2.2409

2.2020

2.3223

2.2851

2.2382

2.2438

2.3255

2.2597

2.3020

2.2658

2.2752

2.2256

2.2611

2.3006

2.2011

2.2790

2.2425

2.3003

Source: Trina S. McNamara, student at Joliet Junior College

(a)

(b)

(c)

(d)

(e)

Construct

a frequency

(a) (1 point)

Is thedistribution.

data discrete or continuous?

Construct

a relative

distribution.

(b) (1 point)

Usefrequency

StatCrunch

to make a frequency table starting at 2.2 with a class width of 0.025.

Construct

a cumulative

frequency distribution.

(c) (1 point)

Use StatCrunch

to male a frequency histogram starting at 2.2 with a class width of 0.025.

Construct

a cumulative

relative

frequency

distribution.

(d) (1 point)

What is

the shape

of the

distribution?

Construct

a frequency

histogram.

Describe

shape of the

(e) (1 point)

How many

cookies

havethe

a diameter

larger than 2.30 inches?

distribution.

(f) (1 point) When creating a frequency distribution, why must the classes not overlap?

(f) Construct a relative frequency histogram.

8. Time Online The following data represent the average

number of hours per week that a random sample of 40 college

students spend online. The data are based on the ECAR Study

of Undergraduate Students and Information Technology, 2007.

Construct a stem-and-leaf diagram of the data, and comment on

the shape of the distribution.

18.9

14.0

24.4

17.4

13.7

16.5

14.8

20.8

22.9

22.2

13.4

18.8

15.1

21.9

21.1

14.7

18.6

18.0

21.1

15.6

16.6

20.6

17.3

17.9

15.2

16.4

14.5

17.1

25.7

17.4

18.8

17.1

13.6

20.1

15.3

19.2

23.4

14.5

18.6

23.8