SAT data analysis and statistics part 3

Mastering Advanced Math: SAT Test - part 3

The quiz consists of 200 questions, and the user will be presented with a unique set of 10 questions in each session for a diverse experience
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Each question is meticulously crafted to mirror the complexity and diversity of problem-solving you'll encounter in the SAT.
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The graph above shows how $250,000 is invested.
How much money is invested in municipal bonds?

$45,000

$37,500

$35,000

$30,000

None

The histogram above shows the number of mobile text messages sent
by a randomly selected group of 27 people on a given day. The average
number of text messages sent per person is closest to what whole
number?

None

On January 1, a share of a certain stock costs $180. Each month
thereafter, the cost of a share of this stock decreased by one-third. If x
represents the time, in months, and y represents the cost of the stock, in
dollars, which graph best represents the cost of a share over the
following 5 months?

Graph B

Graph A

Graph D

Graph C

None

The number of square units, A, in the area covered by a bacteria culture
is increasing at a rate of 20% every 7 days. If the bacteria culture
initially covers an area of 10 square centimeters, which equation can be
used to find the number of square units in the area covered by the
bacteria culture after d days?

$$A=10(0.80)^{\frac{d}{7}}$$

$$A=(12)^{7d}$$

$$A=10(1.20)^{\frac{d}{7}}$$

$$A=10(0.80)^{7d}$$

None

Erica is conducting a survey about the proposed increase in the sports
budget in the Hometown School District. Which survey method would
likely contain the most bias?

Erica asks every third person entering the Hometown Grocery Store

Erica asks every fifth person leaving Saturday’s Hometown High School football game

Erica asks every fifth student entering Hometown High School on Monday morning

Erica asks every third person leaving the Hometown Shopping Mall this weekend

None

The average of r and s is 7.5, and the average of r, s and t is 11. What
is the value of t?

None

The average of a, b, c, d, and e is 28. If the average of a, c, and e is 24,
what is the average of b and d?

None

A new fitness class was started at several fitness clubs owned by the same company. The scatterplot shows the total number of people attending the class during the first five months in which the class was offered. The line of
best fit is drawn.
During the five-month period, the average increase in the number of people attending the class per month is closest to which of the following?

120

100

140

None

The number of hours, H, needed to manufacture X computer monitors
is given by the function H = kX + q, where k and q are constants. If it
takes 270 hours to manufacture 100 computer monitors and 410 hours
to manufacture 160 computer monitors, how many minutes are
required to manufacture each additonal computer monitor?
write answer only in numbers

10.

What percent of the people surveyed saw either an action or a science fiction movie?
Refer to the graph above that summarizes a survey of a
group of 250 people who were randomly selected when leaving a multiplex movie theater and asked what type of movie they had seen.

None

11.

The diagram above shows a graph of the students’ test scores in Ms. Wedow’s algebra class. Which ten-point interval contains the median?

71–80

81–90

61–70

91–100

None

12.

Which survey is most likely to have the least bias?

surveying the members of a football team to determine the most watched TV sport

surveying a sample of people leaving a library to determine the average number of books a person reads in a year

surveying a sample of people leaving a gym to determine the average number of hours a person exercises per week

surveying a sample of people leaving a movie theater to determine which flavor of ice cream is the most popular

None

13.

The equation above represents the total monthly cost, C, in dollars of a
data plan offered by a cell phone company when the data usage in a
month exceeds a 1 gigabyte limit by d megabytes. According to the
model, what is the meaning of 0.05?

The cost per megabyte of data used

The cost per megabyte of data after one gigabyte of data is used

The cost of each additional gigabyte of data after the first megabyte of data is used

The cost per gigabyte of data used

None

14.

The lowest value in a set of ordered scores is x and the highest value is
y. If each score is increased by k, then which of the following must be
true of the revised set of scores?
I. The mean is increased by k.
II. The range is k.
III. The median remains unchanged.

II and III

I and III

II only

I only

None

15.

The table above shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars.
If each player’s salary is increased by 10%, which of the following statistics does not increase by 10%?

all increase by 10%

mode

median

mean

None

16.

From 2014 to 2015 the number of students enrolled in advanced mathematics courses increased by the same percent that student enrollment in advanced mathematics courses dropped from 2013 to 2014. What was the approximate number of students enrolled in advanced mathematics courses in 2015?

480

450

440

420

None

17.

On a test that has a normal distribution of scores, a score of 58 falls
two standard deviations below the mean, and a score of 85 is one
standard deviation above the mean. What is the mean score of this test?

None

18.

If there are 72 SAT Math scores between 510 and 600, how many SAT Math scores are above 700? refer to the graph above.

None

19.

Susan received grades of 78, 93, 82, and 76 on four math exams. What
is the lowest score she can receive on her next math exam and have an
average of at least 85 on the five exams?

None

20.

Miriam and Jessica are growing bacteria in a laboratory. Miriam uses
the growth function f(t) = n ^2t to model her experiment while Jessica uses the function $g(t)=(\frac{n}{2})^{4t}$ to model her experiment. In each case, n represents the initial number of bacteria, and t is the time, in hours. If Miriam starts with 16 bacteria, how many bacteria should Jessica start
with to achieve the same growth over time?

None

21.

Chris plans to purchase a car that loses its value at a rate of 14% per
year. If the intial cost of the car is $27,000, which of the following
equations should Chris use to determine the value, v, of the car after 4
years?

$$ v = 27,000 (0.86)^{4}$$

$$ v = 27,000 (0.14)^{4}$$

$$ v = 27,000 (0.86x4)$$

$$v = 27,000 (1.14)^{4}$$

None

22.

Which of the following is the best approximation for the decrease in
the number of cars purchased per year between 2011 and 2014? refer to the graph above.

105

140

185

180

None

23.

If the average of x, y, and z is 12, what is the average of 3x, 3y, and 3z?

None

24.

The average of a, b, c, and d is p. If the average of a and c is q, what is
the average of b and d in terms of p and q?

2p+q

2q - p

2q + p

2p-q

None

25.

The graph above represents a jogger’s speed during her 20-minute jog
around her neighborhood. Which statement best describes what the
jogger was doing during the 9 to 12 minute interval of her jog?

She was increasing her speed.

She was jogging at a constant rate.

She was decreasing her speed.

She was standing still.

None

26.

If 2a + b = 7 and b + 2c = 23, what is the average of a, b, and c?

7.5

12.25

None

27.

Jacob begins painting at 12:00 noon. At 12:30 P.M. he estimates that 13
gallons of paint are left, and at 3:30 he estimates that 4 gallons of paint
remain. If the paint is being used at a constant rate, how many gallons
of paint did Jacob have when he started the job?

15.5

14.5

13.5

16.5

None

28.

Refer to the above table, which summarizes the results of a survey of the student body of a high school about club membership in which each student enrolled in the high school enumerated the clubs in which they were members.

If a student is selected at random, what is the probability that the student does not belong to 3 or more clubs?

1/9

8/9

7/9

2/9

None

29.

A certain population of insects starts at 16 and doubles every 6 days.
What is the population after 60 days?

$$2^{14}$$

$$2^{6}$$

$$2^{32}$$

$$2^{10}$$

None

30.

The table above summarizes the number of people by age group who were included in a survey of driving habits. Which of the following
statements is true?

The survey was not biased since different age groups were included.

The survey was not biased since a large number of drivers were polled.

The survey was biased because it did not differentiate between males and females.

The survey was biased because individuals 36 and older were underrepresented.

None

31.

The bar graph above shows the verbal and math SAT scores for five students labeled A through E. If a scatterplot of the data in the bar graph is made such that the math SAT score for each student is plotted along the x-axis and their verbal SAT score is plotted along the y-axis, how many of the data points would lie above the line y = x?

None

32.

Vanessa plans to invest $10,000 for 5 years at an annual interest rate of
6% compounded annually. Which equation could be used to determine
the profit, P, Vanessa earns from her initial investment?

$$P = 10,000\times [5(1.06)-1]$$

$$P = 10,000\times [(1.06)^{5}+1]$$

$$P = 10,000\times (1.06)^{5}$$

$$P = 10,000\times [(1.06)^{5}-1]$$

None

33.

The accompanying graph illustrates the presence of a certain strain of
bacteria at various pH levels. Between which two pH values is the rate
at which the number of colonies of bacteria increasing at the lowest
rate?

7 to 8

8 to 9

6 to 7

5 to 6

None

34.

The arithmetic mean of a set of 20 test scores is represented by x. If
each score is increased by y points, which expression represents the
arithmetic mean of the revised set of test scores?

$$x+y$$

$$x+\frac{y}{20}$$

$$\frac{x+y}{20}$$

$$x+20y$$

None

35.

The table above can be used to approximate the circumference of the head, in centimeters, during the first 5 years after birth. At 5 years of age, Jacob’s head circumference was 81 cm. Based on the table, what was his approximate height, in centimeters, at 1 years old?

157

138

152

145

None

36.

Two health clubs offer different membership plans. The accompanying graph represents the total yearly cost of belonging to Club A and Club B for one year. The yearly cost includes a membership fee plus a fixed monthly charge. By what amount does the monthly charge for Club A exceed the monthly charge for Club B?

10.00

5.00

12.50

7.50

None

37.

Which of the accompanying tables that show how population is changing over time illustrate exponential decay?

Table III

Table I

Table IV

Table II

None

38.

If a total of 1,700 tickets were sold for the five types of movies
represented in the histogram, what is the best estimate for the number
of tickets sold to the Romance movie?
Refer to the graph above that summarizes a survey of a
group of 250 people who were randomly selected when leaving a multiplex
movie theater and asked what type of movie they had seen.

204

200

201

208

None

39.

The owner of a small computer repair business has one employee, who
is paid an hourly rate of $22. The owner estimates his weekly profit
using the function P(x) = 8,600 – 22x. In this function, x represents the
number of

computers repaired per week.

customers served per week.

days worked per week.

employee’s hours worked per week.

None

40.

Refer to the above table, which summarizes the results of a
survey of the student body of a high school about club membership in which each student enrolled in the high school enumerated the clubs in which they were members.

If a student is selected at random, what is the probability that the student is either a 9th grade student or belongs to 3 or more clubs?

0.4

0.7

0.6

0.8

None

Time's up