AnswersAlgebra Concepts and ConnectionsInvestigating Data

Investigating Data — Test Answers

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1
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Which graph shows data whose r -value is most likely closest to 1 ?

A
Image with description A graph shows both axes unnumbered. Points show an upward trend.
B
Image with description A graph shows both axes unnumbered. Points are scattered all over the graph.
C
Image with description A graph shows both axes unnumbered. Points show a downward trend.
D
Image with description A graph shows both axes unnumbered. Points show a downward trend.
2
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A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix. Expand Image Which statement is true about the box plots?

A
The upper quartile of the trail mix data is equal to the maximum value of the cracker data.
B
The value 70 is an outlier in the trail mix data.
C
The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
D
The interquartile range of the trail mix data is greater than the range of the cracker data.
4

Which graph shows a negative correlation?

A
Image with description A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph.
B
Image with description A graph with both axes unnumbered. Points are scattered loosely all Over graph.
C
Image with description A graph with both axes unnumbered. Points show a downward trend.
D
Image with description A graph with both axes unnumbered. Points show a steady trend.
5

The data set represents the total number of people who bought bananas each hour at a grocery store. 1, 1, 5, 5, 7, 8, 8, 10, 12 Which box plot correctly represents the data?

A
Image with description A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 3 to 8. A line divides the box at 7.
B
Image with description A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 3 to 9. A line divides the box at 7.
C
Image with description A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 5 to 8. A line divides the box at 7.
D
Image with description A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 5 to 9. A line divides the box at 7.
6

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases. Expand Image Which statement is true about the box plots?

A
The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
B
The data for suitcase 2 has a greater range than the data for suitcase 1.
C
The data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
D
The data for suitcase 2 have a greater median than the data for suitcase 1.
7

The data set represents the total number of tickets each person purchased for a play. 0 comma 0 comma 1 comma 1 comma 1 comma 2 comma 2 comma 2 comma 4 comma 4 What is the median of the data?

A
2 point 5
B
1 point 5
C
1
D
2
8

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. The program reports line segment x is equal to 31 point 5 and sigma is equal to 2 point 5 What is the variance of the data? Round to the nearest tenth.

A
6 point 3
B
5 point 6
C
1 point 6
D
2 point 5
9

How many rain gauges recorded rainfall?

A
2
B
8
C
16
D
11
10

Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data?

A
The histogram is right-skewed, so the mean is less than the median.
B
The histogram is left-skewed, so the mean is less than the median.
C
The histogram is right-skewed, so the mean is greater than the median.
D
The histogram is left-skewed, so the mean is greater than the median.
11

What statement is true about the mean of the sums of the two spinners?

A
The mean is the same as the median.
B
The mean is 12.
C
The mean is the same as the range.
D
The mean is 16.
12

How does the word count of an essay relate to its score in the contest?

A
Word count has no apparent relationship to the score of the essay.
B
Word count tends to increase as the score decreases.
C
Word count tends to decrease as the score decreases.
D
Word count tends to remain constant as the score decreases.
13

What is the variance of the data?

A
2
B
1
C
4
D
5
14

What is the mean height, rounded to the nearest whole number if necessary?

A
68
B
69
C
70
D
66
15

Which statement best describes the shape of the graph?

A
The graph is perfectly symmetrical.
B
The graph is skewed left.
C
The graph is nearly symmetrical.
D
The graph is skewed right.
16

Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?

A
y is equal to negative 55 x plus 407
B
y is equal to negative 26 x plus 723
C
y is equal to negative 38 x plus 992
D
y is equal to negative 41 x plus 814
17

Which best describes the strength of the model?

A
a strong negative correlation
B
a strong positive correlation
C
a weak positive correlation
D
a weak negative correlation
18

Using the equation for the line of best fit, what is a good approximation for the value of the function, f of x , when x is equal to 18 ?

A
3
B
negative 5
C
negative 2
D
12
20

What is the standard deviation of the data?

A
8
B
12
C
24
D
4
21

Which phrases describe the relationship between heart rate and daily intake of caffeine? Choose two correct answers.

A
decreasing heart rate
B
increasing heart rate
C
positive correlation
D
negative correlation
E
constant correlation
22

What is the correlation coefficient for the data shown in the table?

A
4
B
5
C
1
D
0

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