Unit Test — Unit test Answers

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The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades SidneyPhilMean8278Mean Absolute Deviation3.283.96Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

A
StartFraction 82 over 3.28 EndFraction
Option A
B
StartFraction 4 over 3.28 EndFraction
Option B
C
StartFraction 4 over 0.68 EndFraction
Option C
D
StartFraction 82 over 0.68 EndFraction
Option D
2
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The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below.Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last WeekThis WeekMean 3.5 in.2.7 in.Mean Absolute Deviation1.2 in.0.5 in.Which expression compares the difference of the two means to this week’s mean absolute deviation?

A
StartFraction 0.8 over 0.7 EndFraction
Option A
B
StartFraction 2.7 over 0.7 EndFraction
Option B
C
StartFraction 0.8 over 0.5 EndFraction
Option C
D
StartFraction 2.7 over 0.5 EndFraction
Option D
3

Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?

A
Jillian won the game because her score varied less than Dawn’s score.
B
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
C
Dawn won the game because the person with the greater mean played better.
D
Dawn won the game because her mean absolute deviation was less than Jillian’s.
4

Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.Which statement about the rainfall is true?

A
More rain fell two months ago than last month.
B
About the same amount of rain fell two months ago as last month.
C
Last month, the amount of rain that fell each day varied about the same as the month before.
D
Last month, the amount of rain that fell each day varied less than the month before.
5

The heights, in feet, of the trees for sale at two nurseries are shown below.Yard Works: 7, 9, 7, 12, 5The Grow Station: 9, 11, 6, 12, 7Which statements are true regarding the measures of center and variability of these data sets? Select three choices.

A
The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
B
The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
C
The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
D
The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
E
The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
6

Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)?

A
y = negative 7 x + 499
Option A
B
y = negative StartFraction 1 Over 7 EndFraction x + 451
Option B
C
y = StartFraction 1 Over 7 EndFraction x + 449
Option C
D
y = 7 x + 401
Option D
7

Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.How Students Spend Money in the Cafeteria Which is the equation of his trend line?

Question illustration
A
y = 2.75 x
Option A
B
y = 3.05 x minus 0.6
Option B
C
y = 3.25 x minus 1
Option C
D
y = 9.75 x minus 14
Option D
8

Loren solved the equation for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). What error did Loren make?

Question illustration
A
She should have solved for b.
Option A
B
She should have solved for b.
Option B
C
She should have solved for b.
Option C
D
She should have solved for b.
Option D
9

What is the slope of the line of best-fit in the scatterplot below?

Question illustration
A
StartFraction 9 Over 27 EndFraction
Option A
B
StartFraction 3 Over 7 EndFraction
Option B
C
StartFraction 7 Over 3 EndFraction
Option C
D
StartFraction 27 Over 9 EndFraction
Option D
10

What percentage of the data values falls between the values of 3 and 24 in the data set shown?

Question illustration
A
25%
B
50%
C
75%
D
100%
11

Which pair of points should be used to find the line of best-fit for the scatterplot?.

Question illustration
A
J and L
B
J and M
C
K and L
D
K and M
12

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below.Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last WeekThis WeekMean 19.7 cm19.3 cmMean Absolute Deviation4.6 cm5.2 cmThe difference in the mean rainfall is approximately what percent of the mean absolute deviation of the this week’s rainfall?

A
8%
B
23%
C
27%
D
67%
13

Based on the scatterplot below, what is the most likely value for “Pounds of Apples” when “Number of Apples” is 80?

Question illustration
A
42
B
81
C
158
D
398
14

The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.Game vs. Touchdown PassesGameTouchdown passes1321334253Which would be a point on the scatterplot that represents touchdown passes based on these games played?

A
(1, 2)
B
(2, 4)
C
(3, 1)
D
(5, 3)
15

Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below.Andrea’s Work Step 1Step 2Step 3Step 4What was the first error that Andrea made?

Question illustration
A
Andrea used the reciprocal of the slope.
B
Andrea made a computational error when she simplified m.
C
Andrea substituted incorrectly when she solved for b.
D
Andrea made a sign error when she solved for b.
16

Miguel is calculating the slope of a line of best-fit in the scatterplot below. Which pair of points would be best for Miguel to use?

Question illustration
A
P and W
B
Q and V
C
R and U
D
S and T
17

Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the nearest ten-thousandths.

A
y = negative 10.375 x + 126.125
Option A
B
y = negative 0.096 x + 13.056
Option B
C
y = 0.096 x + 10.944
Option C
D
y = 10.375 x 63.875
Option D
18

Enzo and Zahra are playing a game. Their scores for five games are shown in the table below.Enzo’s and Zahra’s ScoresEnzo’s Scores3947465038Zahra’s Scores3733453045Enzo’s mean score is 44. Zahra’s mean score is 38. How much greater is the mean absolute deviation for Zahra's scores than for Enzo's scores?

A
1.2
B
4.4
C
5.6
D
6.0
19

Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.Joaquin’s scores: 75, 72, 85, 62, 58, 91Trisha’s scores: 92, 90, 55, 76, 91, 74Which supports the conclusion that Joaquin won the game?

A
Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.
B
Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73.5.
C
Trisha won because the median of her scores is 73.5 and the median of Joaquin’s scores is 83.
D
Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73.5.
20

What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?

A
Negative StartFraction 15 Over 2 EndFraction
Option A
B
Negative one-half
Option B
C
StartFraction 22 Over 9 EndFraction
Option C
D
StartFraction 24 Over 7 EndFraction
Option D

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