Graphical Displays SAT Practice

MathChapter 8: Statistics

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Question 1 of 50

Question 1

Easy

Which display type is shown? (Display \(1\))

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

Line graphBar graphHistogramScatter plot

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Question 2 of 50

Question 2

Easy

Which display type is shown? (Display \(2\))

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

Line graphBar graphHistogramFrequency polygon

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Question 3 of 50

Question 3

Easy

Which display type is shown? (Display \(3\))

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

Bar graphLine graphHistogramScatter plot

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Question 4 of 50

Question 4

Easy

Which feature makes this graph suitable for the data? (Display \(4\))

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

The categories can be rearranged freely.Every bar represents a continuous interval.The graph proves causation.The horizontal axis is an ordered sequence of years.

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Question 5 of 50

Question 5

Easy

What does one bar height represent? (Display \(5\))

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

The frequency in one score interval.The exact score of every student.The interval midpoint only.The mean of all scores.

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Question 6 of 50

Question 6

Easy

Using the enrollment graph, what is year \(3\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(530\)\(560\)\(610\)\(480\)

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Question 7 of 50

Question 7

Easy

Using the enrollment graph, what is year \(4\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(560\)\(420\)\(530\)\(650\)

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Question 8 of 50

Question 8

Easy

Using the enrollment graph, what is the greatest enrollment?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

year \(3\)year \(1\)year \(4\)year \(6\)

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Question 9 of 50

Question 9

Easy

Using the enrollment graph, what is the only year-to-year decrease?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

year \(3\) to year \(4\)year \(1\) to year \(2\)year \(4\) to year \(5\)year \(5\) to year \(6\)

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Question 10 of 50

Question 10

Easy

Using the enrollment graph, what is the increase from year \(1\) to year \(2\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(40\)\(60\)\(80\)\(100\)

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Question 11 of 50

Question 11

Easy

From the study-format bar graph, what is the most preferred format?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

VideosNotesPracticeCards

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Question 12 of 50

Question 12

Easy

From the study-format bar graph, what is the number preferring Notes?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

\(21\)\(34\)\(42\)\(27\)

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Question 13 of 50

Question 13

Easy

From the study-format bar graph, what is the difference between Practice and Cards?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

\(21\)\(63\)\(15\)\(8\)

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Question 14 of 50

Question 14

Easy

From the study-format bar graph, what is the combined number preferring Videos and Notes?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

\(7\)\(61\)\(69\)\(55\)

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Question 15 of 50

Question 15

Easy

From the study-format bar graph, what is the least preferred format?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

NotesVideosCardsPractice

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Question 16 of 50

Question 16

Medium

Using the score histogram, what is the frequency in the bin centered at \(80\)?

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

\(11\)\(7\)\(80\)\(13\)

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Question 17 of 50

Question 17

Medium

Using the score histogram, what is the most frequent score interval?

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

the interval centered at \(80\)the interval centered at \(50\)the interval centered at \(70\)the interval centered at \(90\)

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Question 18 of 50

Question 18

Medium

Using the score histogram, what is the total frequency?

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

\(33\)\(38\)\(48\)\(5\)

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Question 19 of 50

Question 19

Medium

Using the score histogram, what is the frequency in the two highest intervals?

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

\(18\)\(24\)\(20\)\(90\)

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Question 20 of 50

Question 20

Medium

Using the score histogram, what is the frequency below the interval centered at \(70\)?

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

\(5\)\(11\)\(18\)\(7\)

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Question 21 of 50

Question 21

Medium

What is the relative frequency of class B in the displayed table?

Frequency distribution
Class	Frequency
A	12
B	18
C	10

\(45\%\)\(25\%\)\(30\%\)\(40\%\)

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Question 22 of 50

Question 22

Medium

What is the relative frequency of Mid in the displayed table?

Frequency distribution
Class	Frequency
Low	8
Mid	24
High	8

\(25\%\)\(60\%\)\(30\%\)\(40\%\)

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Question 23 of 50

Question 23

Medium

What is the relative frequency of interval \(5\)–\(9\) in the displayed table?

Frequency distribution
Class	Frequency
0–4	5
5–9	15
10–14	10

\(25\%\)\(30\%\)\(50\%\)\(40\%\)

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Question 24 of 50

Question 24

Medium

What is the relative frequency of Blue in the displayed table?

Frequency distribution
Class	Frequency
Red	9
Blue	6
Green	5

\(25\%\)\(40\%\)\(45\%\)\(30\%\)

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Question 25 of 50

Question 25

Medium

What is the relative frequency of value \(2\) in the displayed table?

Frequency distribution
Class	Frequency
1	7
2	14
3	7
4	7

\(40\%\)\(25\%\)\(30\%\)\(45\%\)

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Question 26 of 50

Question 26

Medium

Approximately what is the percent change in enrollment from year \(1\) to year \(2\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(60\%\)\(14.3\%\)\(10\%\)\(20\%\)

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Question 27 of 50

Question 27

Medium

Approximately what is the percent change in enrollment from year \(2\) to year \(3\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(80\%\)\(10\%\)\(16.7\%\)\(20\%\)

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Question 28 of 50

Question 28

Medium

Approximately what is the percent change in enrollment from year \(3\) to year \(4\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(30\%\)\(10\%\)\(20\%\)\(5.4\% decrease\)

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Question 29 of 50

Question 29

Medium

Approximately what is the percent change in enrollment from year \(4\) to year \(5\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(15.1\%\)\(80\%\)\(10\%\)\(20\%\)

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Question 30 of 50

Question 30

Medium

Approximately what is the percent change in enrollment from year \(5\) to year \(6\)?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

\(40\%\)\(6.6\%\)\(10\%\)\(20\%\)

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Question 31 of 50

Question 31

Medium

Which description best matches displayed distribution \(1\)?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

symmetric; mean must exceed medianright-skewed; mean below medianright-skewed; mean greater than medianleft-skewed; mean above median

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Question 32 of 50

Question 32

Medium

Which description best matches displayed distribution \(2\)?

Symmetric distributionFrequencies mirror across the center.

For a symmetric distribution, the mean and median are typically equal or very close.

View chart data

Series	Value	Frequency
Frequency	1	2
Frequency	2	5
Frequency	3	9
Frequency	4	12
Frequency	5	9
Frequency	6	5
Frequency	7	2

symmetric; mean must exceed medianright-skewed; mean below medianleft-skewed; mean above medianapproximately symmetric; mean approximately equal to median

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Question 33 of 50

Question 33

Medium

Which description best matches displayed distribution \(3\)?

Left-skewed distributionMost observations are higher, with a tail extending toward smaller values.

The long left tail tends to pull the mean below the median.

View chart data

Series	Value	Frequency
Frequency	1	1
Frequency	2	2
Frequency	3	3
Frequency	4	5
Frequency	5	7
Frequency	6	10
Frequency	7	12

left-skewed; mean less than mediansymmetric; mean must exceed medianright-skewed; mean below medianleft-skewed; mean above median

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Question 34 of 50

Question 34

Medium

Which description best matches displayed distribution \(4\)?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

symmetric; mean must exceed mediana tail toward larger values; mean pulled rightright-skewed; mean below medianleft-skewed; mean above median

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Question 35 of 50

Question 35

Medium

Which description best matches displayed distribution \(5\)?

Left-skewed distributionMost observations are higher, with a tail extending toward smaller values.

The long left tail tends to pull the mean below the median.

View chart data

Series	Value	Frequency
Frequency	1	1
Frequency	2	2
Frequency	3	3
Frequency	4	5
Frequency	5	7
Frequency	6	10
Frequency	7	12

symmetric; mean must exceed medianright-skewed; mean below mediana tail toward smaller values; mean pulled leftleft-skewed; mean above median

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Question 36 of 50

Question 36

Medium

Adding one extremely large value to the displayed right tail will usually affect which measure more?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

The median more than the mean.Every measure changes equally.No statistic can change.The mean more than the median.

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Question 37 of 50

Question 37

Medium

If the largest observation moves farther right, which measure must increase?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

The range.The median more than the mean.Every measure changes equally.No statistic can change.

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Question 38 of 50

Question 38

Medium

Which measure is generally most resistant to one extreme endpoint?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

The median more than the mean.The median.Every measure changes equally.No statistic can change.

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Question 39 of 50

Question 39

Medium

What feature of the display suggests possible high outliers?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

The median more than the mean.Every measure changes equally.A sparse tail toward larger values.No statistic can change.

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Question 40 of 50

Question 40

Medium

Which conclusion is not supported by shape alone?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

The median more than the mean.Every measure changes equally.No statistic can change.The exact value of every observation.

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Question 41 of 50

Question 41

Hard

Which display is most appropriate for monthly temperature across one year?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

Line graphScatter plotA list with no labelsAn unrelated pie chart

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Question 42 of 50

Question 42

Hard

Which display is most appropriate for favorite school subjects?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

Scatter plotBar graphA list with no labelsAn unrelated pie chart

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Question 43 of 50

Question 43

Hard

Which display is most appropriate for distribution of commute times in intervals?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

Scatter plotA list with no labelsHistogramAn unrelated pie chart

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Question 44 of 50

Question 44

Hard

Which display is most appropriate for exact counts for each test-score interval?

Preferred study formatA bar graph comparing four separate study-format categories.

View chart data

Series	Format	Students
Students	Videos	34
Students	Notes	27
Students	Practice	42
Students	Cards	21

Scatter plotA list with no labelsAn unrelated pie chartFrequency table

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Question 45 of 50

Question 45

Hard

Which display is most appropriate for compare category proportions for schools with different enrollments?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

Relative-frequency displayScatter plotA list with no labelsAn unrelated pie chart

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Question 46 of 50

Question 46

Hard

The enrollment axis is redrawn starting at \(400\) instead of \(0\). What remains mathematically unchanged?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

The exact opposite conclusion.The numerical differences between plotted enrollment values.No comparison can be made.Every statistic must be zero.

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Question 47 of 50

Question 47

Hard

In the score histogram, can the exact mean be determined from bin frequencies alone?

Distribution of test scoresA histogram with adjacent bars for score intervals of width 10.

View chart data

Series	Score interval midpoint	Frequency
Scores	50	2
Scores	60	5
Scores	70	11
Scores	80	13
Scores	90	7

The exact opposite conclusion.No comparison can be made.No; exact values inside each bin are unknown.Every statistic must be zero.

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Question 48 of 50

Question 48

Hard

Two schools have category counts \(30\) of \(50\) and \(90\) of \(200\). Which has the greater relative frequency?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

The exact opposite conclusion.No comparison can be made.Every statistic must be zero.The first school: \(60\%\) versus \(45\%\).

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Question 49 of 50

Question 49

Hard

A distribution is right-skewed. Which order is typical?

Right-skewed distributionMost observations are lower, with a tail extending toward larger values.

The long right tail tends to pull the mean above the median.

View chart data

Series	Value	Frequency
Frequency	1	12
Frequency	2	10
Frequency	3	7
Frequency	4	5
Frequency	5	3
Frequency	6	2
Frequency	7	1

mode, median, mean from left to rightThe exact opposite conclusion.No comparison can be made.Every statistic must be zero.

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Question 50 of 50

Question 50

Hard

A bar graph shows a rise from \(40\) to \(50\). Which pair is correct?

Enrollment over six yearsA line graph showing enrollment rising overall, with a small decrease in year 4.

View chart data

Series	Year	Students
Enrollment	1	420
Enrollment	2	480
Enrollment	3	560
Enrollment	4	530
Enrollment	5	610
Enrollment	6	650

The exact opposite conclusion.Absolute increase \(10\); percent increase \(25\%\)No comparison can be made.Every statistic must be zero.

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Score0 / 500% accuracy

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Completed: 50 / 50

Questions to review

Question 1Display identification
Easy
Question 2Display identification
Easy
Question 3Display identification
Easy
Question 4Display identification
Easy
Question 5Display identification
Easy
Question 6Line-graph reading
Easy
Question 7Line-graph reading
Easy
Question 8Line-graph reading
Easy
Question 9Line-graph reading
Easy
Question 10Line-graph reading
Easy
Question 11Bar-graph interpretation
Easy
Question 12Bar-graph interpretation
Easy
Question 13Bar-graph interpretation
Easy
Question 14Bar-graph interpretation
Easy
Question 15Bar-graph interpretation
Easy
Question 16Histogram interpretation
Medium
Question 17Histogram interpretation
Medium
Question 18Histogram interpretation
Medium
Question 19Histogram interpretation
Medium
Question 20Histogram interpretation
Medium
Question 21Relative frequency
Medium
Question 22Relative frequency
Medium
Question 23Relative frequency
Medium
Question 24Relative frequency
Medium
Question 25Relative frequency
Medium
Question 26Graph-based percent change
Medium
Question 27Graph-based percent change
Medium
Question 28Graph-based percent change
Medium
Question 29Graph-based percent change
Medium
Question 30Graph-based percent change
Medium
Question 31Distribution shape
Medium
Question 32Distribution shape
Medium
Question 33Distribution shape
Medium
Question 34Distribution shape
Medium
Question 35Distribution shape
Medium
Question 36Outliers and graphical displays
Medium
Question 37Outliers and graphical displays
Medium
Question 38Outliers and graphical displays
Medium
Question 39Outliers and graphical displays
Medium
Question 40Outliers and graphical displays
Medium
Question 41Select an appropriate display
Hard
Question 42Select an appropriate display
Hard
Question 43Select an appropriate display
Hard
Question 44Select an appropriate display
Hard
Question 45Select an appropriate display
Hard
Question 46Advanced display reasoning
Hard
Question 47Advanced display reasoning
Hard
Question 48Advanced display reasoning
Hard
Question 49Advanced display reasoning
Hard
Question 50Advanced display reasoning
Hard

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