AnswersTX-Advanced Quantitative ReasoningWeighted Averages

Weighted Averages — Unit test Answers

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1
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Which could be a conditional relative frequency table?

A
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.25, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.
Option A
B
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.35, 0.30. The third column is labeled B with entries 0.75, 0.65, 0.70. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Option B
C
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.75, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.75, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.
Option C
D
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.65, 0.35, 1.0. The third column is labeled B with entries 0.35, 0.65, 1.0. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Option D
2
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The box plots show the data distributions for the number of text messages Will and Jaime sent each day.

Question illustration
A
1
B
2
C
4
D
7
3

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

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A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
4

A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5.

Question illustration
A
0
B
1
C
4
D
5
5

The table shows the number of flowers in four bouquets and the total cost of each bouquet.

Question illustration
A
–0.57
B
–0.28
C
0.28
D
0.57
6

The graph shows the distribution of hand lengths, in centimeters, of the members of an orchestra.

Question illustration
A
1
B
2
C
4
D
5
7

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

Question illustration
A
Each point in the data set falls on the regression line.
B
The regression model is an accurate representation of the distance for any number of hours hiked.
C
Each point in the data set is near the regression line.
D
The regression model is inaccurate, as it does not begin at (0, 0).
8

Which statements are true about the data used to create the histogram? Select three options.

A
The mean is the best comparison of the measures of center.
B
The juniors tended to have higher essay scores than the sophomores.
C
The medians of both data sets are equal.
D
The interquartile range is the best comparison of the measure of variability.
E
A histogram is the best way to show that both distributions are nearly symmetric.
9

The graph represents the distribution of the number of questions answered correctly on a 50-question math test.

Question illustration
A
4
B
8
C
12
D
24
10

Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.Which histogram represents Blanca’s lap times for the three days of practice?

Question illustration
A
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Option A
B
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
Option B
C
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
Option C
D
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Option D
11

The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.Which statement is true about the box plots? Select three options.

Question illustration
A
Ms. Dobson’s class has a smaller range of scores.
B
The district has a greater interquartile range.
C
Fifteen is an outlier for the district’s scores.
D
One hundred is an outlier for the district’s scores.
E
In general, the district’s scores were better than those of Ms. Dobson’s class.
12

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, 12Which box plot correctly represents the data?

A
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.
Option A
B
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.
Option B
C
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.
Option C
D
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.
Option D
13

The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter. Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent.

Question illustration
A
7%
B
10%
C
25%
D
75%
14

The dot plot represents the amount of rain recorded by rain gauges in different locations around a city.

Question illustration
A
2
B
8
C
11
D
16
15

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months.The store owner converts the frequency table to a conditional relative frequency table by row.Which value should he use for X? Round to the nearest hundredth.

Question illustration
A
0.89
B
0.90
C
0.92
D
0.96
16

Which values are correct? Select three options.

A
a = 15
B
b = 18
C
c = 23
D
d = 35
E
e = 31
17

A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

A
There is likely an association between the categorical variables because the relative frequencies are similar in value.
B
An association cannot be determined between the categorical variables because the relative frequencies are similar in value.
C
An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.
D
There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.
18

The dot plot shows the number of words students spelled correctly on a pre-test.

Question illustration
A
The graph is skewed right.
B
The graph is nearly symmetrical.
C
The graph is skewed left.
D
The graph is perfectly symmetrical.
19

Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum.

Question illustration
A
The mean is 12.
B
The mean is 16.
C
The mean is the same as the median.
D
The mean is the same as the range.
20

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 =31.5 and .What is the variance of the data? Round to the nearest tenth.

Question illustration
A
1.6
B
2.5
C
5.6
D
6.3

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