AnswersAlgebra IData Analysis

Practice Test Answers

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1
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Which statement is true about the data point 84?

A
It is within 1 standard deviation of the mean.
B
It is exactly 3 standard deviations from the mean.
C
It is exactly 4 standard deviations from the mean.
D
It is within 2 standard deviations of the mean.
2
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What is the mean of the data?

A
50
B
10
C
5
D
30
3

According to the line of best fit, about how many ounces of frozen yogurt can someone purchase for 5 dollars ?

A
15 point 5
B
2
C
13
D
1 point 5
4

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

A
0 point 7 9 1
B
negative 0 point 9 9 3
C
0 point 9 9 3
D
negative 0 point 7 9 1
5

Which point is an approximate extrapolation for x is equal to 30 from the line of best fit?

A
30 comma 72
B
23 comma 30
C
30 comma 38
D
44 comma 30
6

Which dot plot could represent the same data as the frequency table?

A
Image with description A dot plot titled Patients with Flu. Age in years is labeled 25 to 45 in increments of 1 on the horizontal axis. The data points are as follows: 25 has 1 dot, 26 has 1 dot, 27 has 2 dots, 28 has 1 dot, 30 has 1 dot, 32 has 2 dots, 33 has 1 dot, 34 has 2 dots, 35 has 1 dot, 36 has 1 dot, 37 has 1 dot, 38 has 2 dots, 39 has 2 dots, 40 has 3 dots, 41 has 1 dot, and 44 has 1 dot.
B
Image with description A dot plot titled Patients with Flu. Age in years is labeled 25 to 45 in increments of 1 on the horizontal axis. The data points are as follows: 25 has 1 dot, 26 has 1 dot, 27 has 2 dots, 28 has 1 dot, 30 has 1 dot, 32 has 1 dot, 33 has 2 dots, 34 has 1 dot, 35 has 2 dots, 36 has 2 dots, 37 has 1 dot, 38 has 2 dots, 39 has 1 dot, 40 has 3 dots, 41 has 1 dot, 43 has 1 dot, and 45 has 1 dot.
C
Image with description A dot plot titled Patients with Flu. The horizontal axis is labeled Age in years and is labeled from 25 to 45 in increments of 1. The data points are as follows: 29 has 1 dot, 30 has 1 dot, 31 has 1 dot, 32 has 2 dots, 33 has 3 dots, 34 has 3 dots, 35 has 3 dots, 36 has 3 dots, 37 has 2 dots, 38 has 1 dot, 39 has 2 dots, 40 has 1 dot, 41 has 1 dot, and 44 has 1 dot.
D
Image with description A dot plot titled Patients with Flu. The horizontal axis is labeled Age in years and is labeled from 25 to 45 in increments of 1. The data points are as follows: 26 has 1 dot, 27 has 1 dot, 28 has 2 dots, 29 has 2 dots, 30 has 1 dot, 31 has 2 dots, 32 has 1 dot, 33 has 2 dots, 34 has 1 dot, 35 has 1 dot, 36 has 1 dot, 37 has 1 dot, 38 has 1 dot, 39 has 3 dots, 40 has 2 dots, 41 has 1 dot, 42 has 1 dot, 43 has 1 dot, and 45 has 1 dot.
7

Does the residual plot show that the line of best fit is appropriate for the data?

A
No, the points are in a linear pattern.
B
Yes, the points have no pattern.
C
No, the points are evenly distributed about the x -axis.
D
Yes, the points are in a curved pattern.
8

Which statements are true about the table? Choose three correct answers.

A
Fiona made a subtraction error when she computed the residual value for x is equal to 4 .
B
The data point for x is equal to 1 is above the line of best fit.
C
The residual value for x is equal to 3 should be a positive number because the data point is above the line of best fit.
D
The residual value for x is equal to 2 should be a positive number because the given point is above the line of best fit.
E
The residual value for x is equal to 3 is negative because the given point is below the line of best fit.
10

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline. Gas Cost Compared to Mileage Less than 40 dollars /Week Greater than or Equal to 40 dollars /Week Total Less than 30 Miles/Gal 33 77 110 Greater than or Equal to 30 Miles/Gal 27 3 30 Total 60 80 140 Marcel converts the frequency table to a conditional relative frequency table by row. Gas Cost Compared to Mileage Less than 40 dollars /Week Greater than or Equal to 40 dollars /Week Total Less than 30 Miles/Gal cap w cap x 1 point 0 Greater than or Equal to 30 Miles/Gal cap y cap z 1 point 0 Total almost equal to 0 point 4 3 almost equal to 0 point 5 7 1 point 0 Which value should he use for cap y ? Round to the nearest hundredth.

A
0 point 1 9
B
0 point 9 0
C
0 point 8 2
D
0 point 4 5
11

Which data set has an outlier?

A
2, 3, 5, 7, 8, 8, 9, 10, 12, 17
B
6, 13, 13, 15, 15, 18, 18, 22
C
3, 6, 7, 7, 8, 8, 9, 9, 9, 10
D
4, 4, 4, 8, 9, 9, 11, 18
12

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not. Table A: Frequency of Foreign-Language Studies by Column Taking a Foreign Language Not Taking A Foreign Language Total Middle school 0 point 3 4 0 point 6 4 0 point 4 High school 0 point 6 6 0 point 3 6 0 point 6 Total 1 point 0 1 point 0 1 point 0 Table B: Frequency of Foreign-Language Studies by Row Taking a Foreign Language Not Taking A Foreign Language Total Middle school 0 point 6 8 0 point 3 2 1 point 0 High school 0 point 8 8 0 point 1 2 1 point 0 Total 0 point 8 0 point 2 1 point 0 Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

A
Table B, because the given condition is that the student is in high school.
B
Table A, because the given condition is that the student is in high school.
C
Table A, because the given condition is that the student is taking a foreign language.
D
Table B, because the given condition is that the student is taking a foreign language.
13

Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

A
every tenth person walking down Main Street in town at different times of the day
B
every student from all of Miranda’s classes
C
twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper
D
all of the students who write into the school newspaper
14

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes. 6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The mean number of books to a box is 11.
C
The mean number of books to a box is 12.
D
The median number of books to a box is 9.
15

The box plot represents the number of math problems on the quizzes for an algebra course. Open image in full-screen view What is the range of the data?

A
9
B
7
C
6
D
10
16

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. Types of Soap Liquid Not Liquid Total Bar 200 100 300 Not Bar 80 20 100 Total 280 120 400 Which is the marginal relative frequency for the people who do not like bar soap?

A
120 4 hundredths
B
280 4 hundredths
C
100 4 hundredths
D
300 4 hundredths
17

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. Types of Bikes Likes Touring Bikes Does Not Like Touring Bikes Total Like Mountain Bikes A b 47 Does Not Like Mountain Bikes c 5 d Total 70 e 80 What are the correct values of A , b , c , d , and e ?

A
A is equal to 5 , b is equal to 42 , c is equal to 28 , d is equal to 10 , e is equal to 33
B
A is equal to 42 , b is equal to 5 , c is equal to 28 , d is equal to 33 , e is equal to 10
C
A is equal to 42 , b is equal to 28 , c is equal to 33 , d is equal to 5 , e is equal to 10
D
A is equal to 5 , b is equal to 10 , c is equal to 28 , d is equal to 33 , e is equal to 42
18

Which best describes the strength of the model with an r -value of negative 0 point 9 3 ?

A
a strong positive correlation
B
a strong negative correlation
C
a weak negative correlation
D
a weak positive correlation
19

For which value of x would this model make the least sense to use?

A
1 point 7 5
B
negative 2 point 7 5
C
0 point 2 5
D
2 point 2 5
20

Which statement must be true according to the box plot?

A
The data is skewed and shows that she never worked more than 5 hours.
B
The data is symmetric and shows that she was equally likely to work more than 3 point 5 hours or less than 5 hours.
C
The data is skewed and shows that she was equally likely to work more than 3 point 5 hours or less than 5 hours.
D
The data is symmetric and shows that she never worked more than 5 hours.

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