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Statistical Modeling — Test Answers

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1
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The relative frequency table displays the percentage of responses of students who were asked, "What caffeinated drinks do you consume?" Coffee Tea Soda Energy drink 0 point 8 3 0 point 7 5 0 point 7 5 0 point 2 5 The picture graph given displays the results of the survey. Open image in full-screen view Is this graph misleading?

A
No, because the height of each picture corresponds to the percentage of each type of drink.
B
Yes, because the areas of the pictures do not accurately represent the proportions of each type of drink.
C
No, because the pictures accurately represent the percentage of each type of drink.
D
Yes, because the height of each picture does not correspond to the percentage of each type of drink.
3

Which segmented bar graph shows data by grade that eleventh graders are more likely to be undecided about their plans after high school, while twelfth graders are less likely to be undecided?

A
Image with description Stacked bar chart titled "Plans after High School by Grade." The vertical axis shows percentages from 0% to 100% in increments of 20%. The horizontal axis has two categories: Eleventh Grade and Twelfth Grade. Each stacked bar shows the percentage of students who have decided on their plans after high school and those who are undecided. For Eleventh Grade, about 60% are decided and 40% are undecided. For Twelfth Grade, about 20% are decided and 80% are undecided. Eleventh-grade students have a higher percentage of decided students, while twelfth-grade students have a higher percentage of undecided students.
B
Image with description Stacked bar chart titled "Plans after High School by Grade." The vertical axis shows percentages from 0% to 100% in increments of 20%. The horizontal axis has two categories: Decided and Undecided. Each stacked bar compares the percentages of eleventh-grade and twelfth-grade students. For Decided, about 20% are eleventh-grade students and 80% are twelfth-grade students. For Undecided, about 30% are eleventh-grade students and 70% are twelfth-grade students. Both categories have a higher percentage of twelfth-grade students than eleventh-grade students.
C
Image with description Stacked bar chart titled "Plans after High School by Grade." The vertical axis shows percentages from 0% to 100% in increments of 20%. The horizontal axis has two categories: Eleventh Grade and Twelfth Grade. Each stacked bar shows the percentage of students who have decided on their plans after high school and those who are undecided. For Eleventh Grade, about 35% are decided and 65% are undecided. For Twelfth Grade, about 80% are decided and 20% are undecided. Twelfth-grade students have a much higher percentage of decided students and a much lower percentage of undecided students than eleventh-grade students.
D
Image with description Stacked bar chart titled "Plans after High School by Grade." The vertical axis shows percentages from 0% to 100% in increments of 20%. The horizontal axis has two categories: Decided and Undecided. Each stacked bar compares the percentages of eleventh-grade and twelfth-grade students. For Decided, about 30% are eleventh-grade students and 70% are twelfth-grade students. For Undecided, about 80% are eleventh-grade students and 20% are twelfth-grade students. The Decided category has a higher percentage of twelfth-grade students, while the Undecided category has a higher percentage of eleventh-grade students.
5

Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers spent was $⁢125 Which of the following is the best interpretation of this value?

A
The middle half of the amount shoppers spent has a range that is 125 dollars wide.
B
The amount shoppers spent typically varies by about 125 dollars from the mean.
C
Fifty percent of the amount shoppers spent is above 125 dollars.
D
The difference between the largest and smallest amounts shoppers spent was 125 dollars.
6

Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 55 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

A
The standard deviation would be about the same, perhaps a little larger.
B
The standard deviation would be noticeably smaller.
C
The standard deviation would be about the same, perhaps a little smaller.
D
The standard deviation would be noticeably larger.
9

Which of the following statements is true about the IQR, range, and standard deviation?

A
The range is the most resistant to extreme values.
B
The IQR is the most resistant to extreme values.
C
The standard deviation is the most resistant to extreme values.
D
The IQR is the least resistant to extreme values.
10

The distribution of the salaries at a small business is strongly skewed with many people making very modest salaries and a few making very large salaries. Which measure of center, mean or median, is a better indication of a "typical” salary at this business?

A
The mean is better because it is not affected by the high salaries.
B
Either one would be a good measure of a typical salary because they are the same value.
C
It cannot be determined without knowing the actual salaries.
D
The median is better because it is not affected by the high salaries.
14

Which class performed better on this quiz?

A
Class 1 performed better because their median score is higher than the median score for class 2.
B
Class 2 performed better because the distribution of quiz grades is approximately symmetric.
C
Class 2 performed better because their median score is higher than the median score for class 1.
D
Class 1 performed better because their scores ranged from 12 to 30.
15

Which is a correct comparison of sandwich prices based on the histograms?

A
More shops charge between $12 and $13 near Main Line University than City College.
B
The interval from $11 to $12 contains the most shops for both college locations.
C
Fewer shops sell sandwiches for under $10 near City College than near Main Line University.
D
The median price lies between $10 to $11 for both City College and Main Line University.
16

Which of the following statements is not true?

A
Fewer residents use Aster than Babble.
B
More residents use Babble than Upstart.
C
More residents use Techy than any of the other three.
D
Twice as many residents use Techy than use Upstart.
17

Which statement correctly compares the water bills for the two neighborhoods?

A
Overall, water bills on Pine Road are less than those on Front Street.
B
Overall, water bills on Pine Road are higher than those on Front Street.
C
The range of water bills on Pine Road is higher than the range of water bills on Front Street.
D
The range of water bills on Pine Road is lower than the range of water bills on Front Street.
18

Which interval contains the median number of cars in line?

A
20–30 cars
B
10–20 cars
C
30–40 cars
D
40–50 cars
19

Which statement best compares the variability of the quiz scores for Class A and Class B?

A
The scores on the quiz for Class A have less variability than the scores for Class B.
B
The scores on the quiz for Class B have about the same variability as the scores for Class A.
C
The scores on the quiz for Class B have more variability than the scores for Class A.
D
The scores on the quiz for Class A have more variability than the scores for Class B.
20

In which interval is the median?

A
left bracket 7 comma 8 right parenthesis
B
left bracket 6 comma 7 right parenthesis
C
left bracket 5 comma 6 right parenthesis
D
left bracket 4 comma 5 right parenthesis

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