Transcribed Text
Provide an appropriate response. Round relative frequencies to thousandths.
1
The preschool children at Elmwood Elementary School were asked to name their favorite color. The results are listed
below. Construct a frequency distribution and a relative frequency distribution.
blue
blue
purple
yellow
green
green
green
blue
green
purple
green
purple
yellow
yellow
yellow
purple
green
yellow
green
red
Fill in the following table
Color
Frequency
Relative Frequency
blue
purple
yellow
green
red
2
Construct the specified histogram.
A random sample of 30 high school students is selected. Each student is asked how much time he or she spent on the
Internet during the previous week. The following times (in hours) are recorded:
6148118687511
9 7 7 6 9 8 5 5 10 7
571496106987
Construct a frequency histogram for this data.
Select one:
True
False
3
Provide an appropriate response.
Use the following frequency distribution to answer the following matching questions.
Class Frequency
915
5
1622
9
2329
6
3036
3
3743
7
4450
4
What is the lower class limit of the first class?
How many classes are in the frequency distribution?
Choose..
What is the class width of the frequency distribution?
Choose.
What is the lower class limit of the first class?
Choose.
What is the upper class limit of the first class?
Choose.
What is the frequency for the fourth class?
Choose..
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
4
Number of Tickets Sold Each Week
60
50
40
30
20
10
1
2
3
4
5
6
Week
Approximately how many tickets were sold during week 6?
tickets
During which week was the fewest number of tickets sold?
During which week was the most number of tickets sold?
5
The following doublebar graph illustrates the revenue for a company for the four quarters of the year for two
different years. Use the graph to answer the question.
60
55
50
45
40
35
30
25
20
15
10
5
1st
2nd
3rd
4th
Quarter
Year 1
Year 2
In what quarter was the revenue the least for Year 1?
In what quarter was the revenue the greatest for Year 1?
What was the revenue for the second quarter of Year 2?
million
6
Construct a pie chart for the data. Label each category with its percentage.
A
study was conducted to determine how people get jobs. Four hundred subjects were randomly selected and the results
are listed below. Round percents to whole numbers.
Job Sources of
Survey Respondents
Frequency
Newspaper want ads
72
Online services
124
Executive search firms
69
Mailings
32
Networking
103
Select one:
True
False
7
Provide an appropriate response.
What is the difference between a bar chart and a histogram?
Select one:
a. The bars in a bar chart may be of various widths while the bars of a histogram are all the same width.
b. The bars in a bar chart are all the same width while the bars of a histogram may be of various widths.
C. There is no difference between these two graphical displays.
d. The bars on a bar chart do not touch while the bars of a histogram do touch.
Question 8
Provide an appropriate response.
For the stemandleaf plot below, what are the maximum and minimum entries?
11 34
1) 666789
2 0112344566
177788999
3/011234455
3 66678899
4 13
Select one:
a. max: 41; min: 13
b. max: 43; min: 13
C. max: 47; min: 14
d. max: 38; min: 7
Question 9
Construct a dot plot for the data.
The local police, using radar, checked the speeds (in mph) of 30 motorists at a busy intersection. The results are listed
below. Construct a dot plot for the data.
44 38 41 50 36 36 43 42 49 48
35 40 37 41 43 50 45 45 39 38
50 41 47 36 35 40 42 43 48 33
Select one:
True
False
Question 10
Explain what is misleading about the graphic.
The volume of our sales has doubled!!!
Select one:
a. The length of a side has doubled, but the area has been multiplied by 8.
b. The length of a side has doubled, but the area has been unchanged.
C. The length of a side has doubled, but the area has been multiplied by 4.
d. The graphic is not misleading.
Question 11
Provide an appropriate response.
The following graph shows the number of car accidents occurring in one city in each of the years 2006 through 2011 (Year
1 = 2006, Year 2 = 2007 etc). The number of accidents dropped in 2008 after a new speed limit was imposed. How is the
bar graph misleading?
Number of
accidents
120
110
100
90
30
70
60
1
2
3
4
5
6
Year
Select one:
a. The bar graph is misleading because the vertical axis starts at 60 instead of 0. This tends to indicate that the
number of accidents decreased at a faster rate than they actually did.
b. The graph is the wrong choice for the type of data being displayed.
C. This is a histogram, so there should be no spaces.
Question 12
Provide an appropriate response.
Find the mean, median, and mode of the following statistic students' test scores:
96 99 92 96 89 97 96 90 91 94
mean:
median:
mode:
Question
13
Provide an appropriate response.
The high temperatures (in degrees Celsius) each day over a three week period were as follows: 17, 18, 20, 22, 21, 19, 16,
15, 18, 20, 21, 21, 22, 21, 19, 20, 19, 17, 16, 16, 17. Compute the mean, median, and mode.
mean:
"C
median:
°C
mode:
°C
Question 14
Provide an appropriate response.
In a sample of 18 students at East High School the following number of days of absences were recorded for the previous
semester: 4, 3, 1, 0, 4, 2, 3. 0, 1, 2, 3, 0, 4, 1. 1, 5, 1, 1. Compute the mean, median, and mode.
mean:
day(s)
median:
day(s)
mode:
day(s)
Question
15
Provide an appropriate response.
A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought's effect
on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample
of the heights of 25 trees and obtains the following results (recorded in inches):
60 57 62 69 46 54 64 60 59 98 79 51 40
67 60 44 se 95 48 is 63 73 52 65 50
Which measure of central tendency would be considered the best measure to use in this problem?
Select one:
a. median
b. mean
C. range
d. mode
Question
16
Provide an appropriate response.
The annual profits of five large corporations in a certain area are given below. Which measure of central tendency should be used?
$209,000 $217,000 $237,000 $207,000 $1,287,000
Select one:
a. mode
b. midrange
C. mean
d. median
Question 17
Provide an appropriate response.
The following data represent a random sample of 15 complaints registered with the customer service department of a store. Determine
the mode complaint.
messy
other
nade personnel
waiting time
messy
atore
excensive wailing
defective penduct
excessive waiting time
waiting time
excersive waiting timer
other
messy
excessive waiting time
Select one:
a. no mode
b. messy store
C. rude personnel
d. excessive waiting time
Questian
18
Provide an appropriate response.
The
of a variable is computed by determining the sum of all the values of the variable in the data set and dividing this sum
by the number of observations in the data set.
Select one:
a. Mode
b. Arithmetic mean
C. Geometric mean
d. Median
Question 19
Provide an appropriate response.
The following data represents a random sample of 15 complaints registered with the customer service department of a store.
Determine the median complaint.
Other
defective
excessive waiting time
Mexsy stome
other
other
Messy
other
minay share
Other
abore
store
Defective preduct
other
masay stare
Select one:
a. Messy store
b. Defective product
c. Excessive waiting time
d. No median
Question
20
Provide an appropriate response.
Which measure of central tendency is not resistant to extreme values in a numerie data set?
Select one:
a. Parameters
b. Median
C. Mode
d. Mean
Question 21
Provide an appropriate response.
Which measure of central tendency may not exist for all numeric data sets?
Select one:
a. Median
b. Midrange
c. Mean
d. Mode
Question 22
Provide an appropriate response.
The median of a data set for a variable is the data value that
Select one:
a. None of these
b. Appears the most often
C. Lies in the middle of the data when the data is arranged in ascending order.
d. Is the average, that is. the sum of all the data values of the variable divided by the number of observations in the data set?
Question 23
Provide an appropriate response. Round to two decimal places.
The grades are given for a student for a particular term. Find the grade point average (expected value). The point values
of grades are given below.
A 4, B 3, C: 2, D : 1, F 0
Grade
Credit Hours
F
2
C
3
A
1
B
4
C
2
Answer:
Question 24
Provide an appropriate response.
The costs (in dollars) of 10 college math textbooks are listed below. Find the population standard deviation and the
population variance.
70, 72, 71, 70, 69, 73, 69, 68, 70, 71
population standard deviation:
population variance:
Question 25
Provide an appropriate response.
In a random sample, 10 employees at a local plant were asked to compute the distance they travel to work to the nearest
tenth of a mile. The data is listed below. Compute the range, sample standard deviation and sample variance of the data.
1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8
range:
sample standard deviation
sample variance:
Question 26
Provide an appropriate response.
The costs (in dollars) of 10 college math texthooks are listed below. Find the sample standard deviation.
26 72 71 70 69 73 69 68 70 71
Select one:
a. $1.49
b. $5.00
c. $2.23
d. $70.30
Question 27
Provide an appropriate response.
The top speeds (in mph) for a sample of five new automobile brands are listed below. Calculate the standard deviation of the speeds.
155, 130, 195, 180, 110
Select one:
a. 34.9 mph
b. 154.00 mph
c. 26,873.00 mph
d. 85 mph
Question
28
Provide an appropriate response.
Which is not a measure of dispersion?
Select one:
a. Variance
b. Mean
c. Range
d. Standard deviation
Question 29
Provide an appropriate response.
True or False: The variance of a population is the arithmetic average of the squared deviations about the population mean
Select one:
a. True
b. False
Question 30
Provide an appropriate response.
True or False: Variance is the square root of standard deviation
Select one:
a. True
b. False
Question 31
Provide an appropriate response.
A statistic is said to be biased if it
Select one:
a. Is determined from a trimmed sample
b. Leads to an erroneous conclusion about the sample
c. Has exactly the same value as the parameter
d. Systematically underestimates or overestimates a parameter
Question 32
Provide an appropriate response.
The following is a sample of 19 November utility bills (in dollars) from a neighborhood:
88, 92, 96. Find the fivenumber summary.
Min:
Q1:
Median:
Q3:
Max:
Question 33
Provide an appropriate response.
Eleven high school teachers were asked to give the numbers of students in their classes. The sample data follows: 36, 31,
30, 31, 20, 19, 24, 34, 21, 28, 24. Find the fivenumber summary.
Min:
Q1:
Median:
Q3:
Max:
Question 34
Provide an appropriate response.
SAS was used to compare the high school dropout rates for the 30 school districts in one city in 2010 and 2012. The box plots
generated for these dropout rates are shown below.
Compare the center of the distributions and the variation of the distributions for the two years.
49.25
VariableRATE


36.9376
24.625
12,3125
o
YEAR 2010 2012
Select one:
a. Dropout rates had a higher average with more variability in 2010 than in 2012.
b. Dropout rates had a lower average with less variability in 2010 than in 2012.
c. Dropout rates had a lower average with more variability in 2010 than in 2012.
d. Dropout rates had a higher average with less variability in 2010 than in 2012.
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