Unit Test — Unit test Answers — CA-Mathematics I…

1

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The table shows the number of calories in four meals and the cost of each meal.

A

a weak positive correlation

B

a strong positive correlation

C

a weak negative correlation

D

a strong negative correlation

2

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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.

3

Which values are correct? Select three options.

A

a = 15

B

b = 18

C

c = 23

D

d = 35

E

e = 31

4

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

A

1

B

2

C

4

D

5

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

A

2

B

8

C

11

D

16

6

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.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 have a greater median 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 has a greater range than the data for suitcase 1.

7

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

A

4

B

8

C

12

D

24

8

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.

A

0

B

1

C

4

D

5

9

Melissa collected the data in the table.

A

–3

B

–1

C

1

D

3

10

The two-way frequency table represents data from a survey asking mall visitors whether they like seafood, meat, or both. Which is the joint relative frequency for mall visitors who like seafood and meat?

A

StartFraction 5 Over 72 EndFraction

B

StartFraction 16 Over 72 EndFraction

C

StartFraction 20 Over 72 EndFraction

D

StartFraction 31 Over 72 EndFraction

11

Which graph shows a negative correlation?

A

A graph with both axes unnumbered. Points show a steady trend.

B

A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph.

C

A graph with both axes unnumbered. Points show a downward trend.

D

A graph with both axes unnumbered. Points are scattered loosely all Over graph.

12

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.

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.

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.

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.

13

The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.Which table shows the correct residual values for the data set?

A

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.

B

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.

C

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.

D

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

14

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.

15

Which phrases describe the relationship between heart rate and daily intake of caffeine? Select two options.

A

negative correlation

B

increasing heart rate

C

constant correlation

D

positive correlation

E

decreasing heart rate

16

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.

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.

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.

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.

17

The histogram represents boiling temperatures, in degrees Celsius, of tap water and of a saltwater mix.The median boiling temperature of the tap water is 100°C. The median boiling temperature of the salt water is 102°C. Which statement about the means is most likely true?

A

The mean of the tap water boiling temperatures is about 4° less than the mean of the saltwater boiling temperatures.

B

The mean of the tap water boiling temperatures is about 2° less than the mean of the saltwater boiling temperatures.

C

The mean of the tap water boiling temperatures is about 1° greater than the mean of the saltwater boiling temperatures.

D

The mean of the tap water boiling temperatures is about 3° less than the mean of the saltwater boiling temperatures.

18

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.