Statistics Homework 2
The following table shows the types of homes in which residents were living in 2010.
2010 Housing Data
Type of Home
Frequency
Single-Family Detached
1748
Single-Family Attached
442
Small Apartment Building
1247
Large Apartment Building
1056
Mobile Home
173
Other
134
To accurately display the mobile home category on a pie chart, an angle that is approximately ________ would need to be created.
a.)
13degrees
b.)
94degrees
c.)
131degrees
d.)
79degrees
The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40.
Select the true statement for this histogram.
a.)
The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest.
b.)
The quiz score bin interval 6-10 contains the most students, while bin interval 21-25 contains the fewest.
c.)
The quiz score bin interval 11-15 contains the most students, while bin interval 21-25 contains the fewest.
d.)
The quiz score bin interval 1-5 contains the most students, while bin interval 36-40 contains the fewest.
The time series diagram shows the change of temperature recorded over a successive interval of time.
Which segment of the graph indicates the smallest difference in the temperature?
a.)
2 PM to 3 PM
b.)
10 AM to 11 AM
c.)
1 PM to 2 PM
d.)
11 AM to 12 PM
The time series diagram shows the change of temperature recorded over a successive interval of time.
Which segment of the graph indicates the smallest difference in the temperature?
a.)
2 PM to 3 PM
b.)
10 AM to 11 AM
c.)
1 PM to 2 PM
d.)
11 AM to 12 PM
The data below shows the height (in cm) of students in a class.
136, 135, 145, 142, 141, 142, 135, 132, 133, 145, 142, 140, 141, 136, 148, 140, 143, 145, 135, 136
Which dot plot represents the data?
a.)
b.)
c.)
d.)
The frequency table shows the types of homes in which residents were living in 2015.
2015 Housing Data
Type of Home
Frequency
Single-Family Detached
2330
Single-Family Attached
590
Small Apartment Building
1662
Large Apartment Building
1408
Mobile Home
231
Other
179
The relative frequency of residents living in mobile homes in 2015 is __________. Answer choices are rounded to the nearest percentage.
a.)
4%
b.)
36%
c.)
8%
d.)
23%
The following histogram represents quiz scores and uses the interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40
For students who earned a score of 21 or higher on the quiz, the cumulative frequency is __________ and the relative cumulative frequency is __________.
a.)
7; 14%
b.)
17; 34%
c.)
21; 42%
d.)
10; 20%
The table below shows the number of visitors to a museum over a period of 5 days.
Monday
Tuesday
Wednesday
Thursday
Friday
Children
120
110
90
135
105
Adults
130
140
125
105
110
Which stack plot best represents the visitors to the museum?
a.)
b.)
c.)
d.)
The bar graph below shows the net sales of a magazine company over the years
Based on the graph, Dan claims that the net sales of magazines in 2008 are twice the net sales in 2006.
Which statement explains why the graph is misleading?
a.)
The horizontal axis should be in terms of months instead of years.
b.)
The scale of intervals on the horizontal axis is inconsistent.
c.)
The vertical scale made the bar of 2008 look twice the bar of 2006.
d.)
The vertical axis should be in terms of the number of magazines instead of net sales.
Which of these statements is FALSE?
a.)
A data set is a characteristic of an individual member of the population that can be measured.
b.)
The distribution describes what values the variables take and how often they take those values.
c.)
The distribution can be summarized by a frequency table.
d.)
A data set is a list of numbers that is associated with context.
Which term below is a qualitative statement about how the data looks after it has been plotted?
a.)
Shape
b.)
Spread
c.)
Outlier
d.)
Center
Olivia graphed the data she had collected about monthly utility costs. Her graph is below.
Which of the following statements would be a characteristic of Olivia’s graph?
a.)
The values in the graph are distributed uniformly.
b.)
The values in the graph are negatively skewed.
c.)
The values in the graph are positively skewed.
d.)
The values in the tallest bins represent local modes.
The given data shows monthly cell phone bills for the last year.
$71, $66, $81, $53, $64, $71, $68, $45, $50, $61, $63, $75
Select the option that shows the correct mean, median, and mode.
a.)
mean: $63
median: $64
mode: $81
b.)
mean: $64
median: $65
mode: $71
c.)
mean: $63
median: $69.5
mode: $81
d.)
mean: $64
median: $66
mode: $71
A student has an average of 85% on the unit tests, 83% on the final test, 89% on the class project, and 91% on homework submissions.
If the unit tests count for 30% of the final grade, the final test counts for 40%, the class project counts for 20%, and homework submissions count for 10%, what is the weighted average grade of the student?
a.)
84.3%
b.)
85.75%
c.)
85.6%
d.)
87.65%
When Mark was looking at his monthly utility payments, he noticed that one payment was significantly lower than all the others.
Which of the following would be most affected by Mark’s observation?
a.)
The average monthly payment.
b.)
The highest monthly payment.
c.)
The median monthly payment.
d.)
The most frequent monthly payment.
Which of these is not a measure of variation for a data set?
a.)
Mean
b.)
Standard deviation
c.)
Range
d.)
Interquartile range
The middle 50% of a data set is known as the _______.
a.)
third quartile
b.)
first quartile
c.)
middle quartile
d.)
interquartile range
The mean cost for a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.
What is the value of the variance?
a.)
$0.10
b.)
$0.01
c.)
$0.40
d.)
$0.20
Consider the following data set with a mean of 12:
9, 11, 12, 16
Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place.
a.)
1.54
b.)
2.55
c.)
2.94
d.)
5.09
The following box-and-whisker plots show the ages of the players of two baseball teams (A and B) during a particular season
What is the third quartile (Q3) value for Team A?
a.)
21
b.)
25
c.)
36
d.)
28.5
Using the number of minutes per call in last month’s cell phone bill, Alex calculated the upper quartile to be 24 minutes and the lower quartile to be 10 minutes.
Any value greater than ______ minutes is an outlier.
a.)
34
b.)
24
c.)
38
d.)
45
Jessica graded seven standardized tests with scores of:
50, 47, 84, 78, 49, 97, and 75.
Which standardized test score represents the 50th percentile?
a.)
47
b.)
78
c.)
75
d.)
50
Which of these statements about a normally distributed data set is FALSE?
a.)
Mean, median and mode are the same value.
b.)
It is not symmetric around the center.
c.)
50% of the values are smaller than the mean value.
d.)
50% of the values are greater than the mean value.
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10.
Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt?
a.)
99.7%
b.)
34%
c.)
68%
d.)
95%
The sales data from the past two months of a frozen yogurt shop are approximately normal.
The mean daily sales for the first month was $200 with a standard deviation of $30.On the 15th of the first month, the shop sold $245 of yogurt.
The mean daily sales for the second month was $220 with a standard deviation of $50. On the 15th of the second month, the shop sold $270 of yogurt.
Which month had a higher z-score for sales on the 15th, and what is the value of that z-score?
a.)
The first month, with a score of 0.9.
b.)
The first month, with a z-score of 1.5.
c.)
The second month, with a z-score of 1.
d.)
The second month, with a score of 1.67.
The variance of any standard normal distribution is __________.
a.)
0.5
b.)
-0.5
c.)
0
d.)
1
Consider a set of cards that has four cards labeled 2, 4, 6, and 8
Suppose you pick two cards, without replacement, to obtain the mean of the two numbers that are drawn from the set.
Which of the following tables shows the sampling distribution?
a.)
Sample (n = 2)
x
S1= {2, 2}
2
S2= {2, 4}
3
S3= {2, 6}
4
S4= {2, 8}
5
S5= {4, 8}
6
S6= {6, 8}
7
b.)
Sample (n = 2)
x
S1= {2, 4}
3
S2= {2, 6}
4
S3= {2, 8}
5
S4= {4, 6}
5
S5= {4, 8}
6
S6= {6, 8}
7
c.)
Sample (n = 2)
x
S1= {2, 2}
2
S2= {2, 4}
3
S3= {4, 4}
4
S4= {4, 6}
5
S5= {4, 8}
6
S6= {6, 8}
7
d.)
Sample (n = 2)
x
S1= {2, 2}
2
S2= {2, 4}
3
S3= {4, 4}
4
S4= {4, 6}
5
S5= {6, 6}
6
S6= {8, 8}
8
Let x stand for the sale of candy bars by an individual student. 60 students are sampled at a time. The population mean is 40 candy bars and the population standard deviation is 3 candy bars.
What is the mean and standard deviation of the sampling distribution of sample means? Answers are rounded to the nearest tenth.
a.)
mean = 5.2, standard deviation = 3
b.)
mean = 40, standard deviation = 3
c.)
mean = 40, standard deviation = 0.39
d.)
mean = 5.2, standard deviation = 0.39
If repeated independent samples of yogurt sales were taken, according to the Central Limit Theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough. The histogram for the yogurt sales is shown here.
Select the reason why the Central Limit Theorem can be applied.
a.)
The sample size features 50 or more observations.
b.)
The data distribution is skewed positively.
c.)
The samples are large enough, independently drawn, and done repeatedly.
d.)
The data distribution is skewed negatively.
