SAT data analysis and statistics part 3 Mastering Advanced Math: SAT Test - part 3The quiz consists of 200 questions, and the user will be presented with a unique set of 10 questions in each session for a diverse experiencePlease note that answers cannot be deselected once chosen in the quiz, so make your choices carefully for an optimal testing experience.Each question is meticulously crafted to mirror the complexity and diversity of problem-solving you'll encounter in the SAT.Use it as a targeted practice tool to identify and address specific areas of improvement.Track your progress and see your proficiency grow. 1. Refer to the above scatterplot, which shows wrist and neckcircumference measurements, in centimeters, for 12 people. The line of best fit is drawn.How many of the 12 people have an actual neck circumference that differs by more than 1 centimeter from the neck circumference predicted by the line of best fit? 1 2 5 3 None 2. 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%? median mean all increase by 10% mode None 3. Given a starting population of 100 bacteria, the formula b(t) = 100(2^t)can be used to determine the number of bacteria, b, after t periods oftime. If each time period is 15 minutes long, how many minutes will ittake for the population of bacteria to reach 51,200?write answer only in numbers 4. The scatterplot above shows the profit, by month, for a new company for the first year of operation. A line of best fit is also shown. Using this line, by what dollar amount did the profit in the 18th month exceed the profit in the 13th month? $5,000 $12,500 $15,000 $7,750 None 5. The greatest percent of increase in the jogger’s heart rate occurred overwhat interval of time, in minutes? Refer to the graph above which shows the heart rate, in beats per minute, of a jogger during a 4-minute interval. 1 to 2 3 to 4 0 to 1 2 to 3 None 6. The partially completed table above describes the distribution of 200 subjects in a study involving eye color in which there were 4 times as many males with brown eyes as with blue eyes and 7 times as many females with brown eyes as with blue eyes. What percent of the subjects were either male with blue eyes or female with brown eyes? 57% 58% 59% 56% None 7. If the average of x, y, and z is 32 and the average of y and z is 27, whatis the average of x and 2x? 45 42 48 63 None 8. The average (arithmetic mean) of a set of seven numbers is 81. If oneof the numbers is discarded, the average of the remaining numbers is78. What is the value of the number that was discarded? 99 101 98 100 None 9. 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? 152 157 145 138 None 10. The arithmetic mean of a set of 20 test scores is represented by x. Ifeach score is increased by y points, which expression represents thearithmetic mean of the revised set of test scores? $$x+y$$ $$x+20y$$ $$x+\frac{y}{20}$$ $$\frac{x+y}{20}$$ None 11. The cumulative histogram above shows the distribution of scores that24 students received on an English test. If a student is selected atrandom, what is the probability that the student will have a scorebetween 71 and 80? 1/3 1/2 2/3 1/6 None 12. 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 61–70 81–90 91–100 None 13. Refer to the above scatterplot, which shows wrist and neckcircumference measurements, in centimeters, for 12 people. The line of best fit is drawn.What is the predicted neck circumference, in centimeters, for someone whose wrist circumference is 17.0 cm? 38 20 40 33 None 14. Chris plans to purchase a car that loses its value at a rate of 14% peryear. If the intial cost of the car is $27,000, which of the followingequations should Chris use to determine the value, v, of the car after 4years? $$ v = 27,000 (0.86x4)$$ $$v = 27,000 (1.14)^{4}$$ $$ v = 27,000 (0.14)^{4}$$ $$ v = 27,000 (0.86)^{4}$$ None 15. The accompanying graph illustrates the presence of a certain strain ofbacteria at various pH levels. Between which two pH values is the rateat which the number of colonies of bacteria increasing at the lowestrate? 6 to 7 5 to 6 8 to 9 7 to 8 None 16. The graph above shows how $250,000 is invested. How much money is invested in municipal bonds? $37,500 $30,000 $45,000 $35,000 None 17. The owner of a small computer repair business has one employee, whois paid an hourly rate of $22. The owner estimates his weekly profitusing the function P(x) = 8,600 – 22x. In this function, x represents thenumber of days worked per week. employee’s hours worked per week. computers repaired per week. customers served per week. None 18. The graph above shows the number of U.S. households with laptopcomputers for the years 2010 to 2014.The greatest percent of increase in the number of households withlaptops occurred in which two consecutive years? 2011 to 2012 2010 to 2011 2012 to 2013 2013 to 2014 None 19. 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? 450 440 420 480 None 20. Vanessa plans to invest $10,000 for 5 years at an annual interest rate of6% compounded annually. Which equation could be used to determinethe profit, P, Vanessa earns from her initial investment? $$P = 10,000\times [(1.06)^{5}-1]$$ $$P = 10,000\times (1.06)^{5}$$ $$P = 10,000\times [(1.06)^{5}+1]$$ $$P = 10,000\times [5(1.06)-1]$$ None 21. 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 2/9 7/9 8/9 None 22. Jacob begins painting at 12:00 noon. At 12:30 P.M. he estimates that 13gallons of paint are left, and at 3:30 he estimates that 4 gallons of paintremain. If the paint is being used at a constant rate, how many gallonsof paint did Jacob have when he started the job? 15.5 13.5 16.5 14.5 None 23. The table above summarizes the number of people by age group who were included in a survey of driving habits. Which of the followingstatements is true? The survey was biased because individuals 36 and older were underrepresented. 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. None 24. The number of square units, A, in the area covered by a bacteria cultureis increasing at a rate of 20% every 7 days. If the bacteria cultureinitially covers an area of 10 square centimeters, which equation can beused to find the number of square units in the area covered by thebacteria culture after d days? $$A=10(0.80)^{7d}$$ $$A=10(0.80)^{\frac{d}{7}}$$ $$A=(12)^{7d}$$ $$A=10(1.20)^{\frac{d}{7}}$$ None 25. The average of a, b, c, and d is p. If the average of a and c is q, what isthe average of b and d in terms of p and q? 2p-q 2q + p 2q - p 2p+q None 26. The yearly growth in the number of fast food restaurants in a certainretail chain can be modeled by the function f(n) = 5 + 8n. According tothis model which statement is true? 8 is the initial number of restaurants; 5 is the number of restaurants added each year after the first year The y-intercept of the graph of function f shows the year in which the retail chain made a zero profit. 5 is the starting number of restaurants; 8 is the number of restaurants added each year after the first year. The retail chain opened with 13 restaurants. None 27. The City Tunnel and Bridge Authority in a certain city estimates that40,000 vehicles currently travel over a certain bridge per year but, dueto highway construction and changing traffic patterns, vehicle trafficover the bridge will begin to decline by 12% every 5 years. Which ofthe following expressions best represents the vehicle traffic projectionsfor this bridge n years from now? $$40,000(0.88)^{5n}$$ $$40,000(0.12)^{\frac{n}{5}}$$ $$40,000(0.12)^{5n}$$ $$40,000(0.88)^{\frac{n}{5}}$$ None 28. Refer to the above table, which summarizes the results of asurvey 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 28% of the students who are enrolled in this school belong to at least two clubs, how many students who are enrolled in this school did not participate in the survey? 400 100 200 300 None 29. Susan received grades of 78, 93, 82, and 76 on four math exams. Whatis the lowest score she can receive on her next math exam and have anaverage of at least 85 on the five exams? 94 96 92 90 None 30. A radioactive substance has an initial mass of 100 grams, and its massis reduced by 40% every 5 years. Which equation could be used to findthe number of grams in the mass, y, that remains after x years? $$y=100(0.6)^{5x}$$ $$y=100(0.4)^{5x}$$ $$y=100(0.6)^{\frac{x}{5}}$$ $$y=100(0.4)^{\frac{x}{5}}$$ None 31. Which of the following statements is true about the data in the tables above?I. The mean salaries for both companies are greater than $35,000.II. The mean age of workers in Company 1 is greater than the meanage of workers in Company 2.III. The salary range in Company 2 is greater than the salary range inCompany 1. I and II only I only II and III only III only None 32. The graph above shows the average daily temperature during a particular week in January in a certain city. Which statement best describes the temperature data in the graph above? median = mode mean = mode mean < mode median = mean None 33. If there are 72 SAT Math scores between 510 and 600, how many SAT Math scores are above 700? refer to the graph above. 40 64 48 56 None 34. Which of the accompanying tables that show how population is changing over time illustrate exponential decay? Table IV Table II Table I Table III None 35. Over what interval of time, in minutes, was the jogger’s heart ratechanging at a constant rate?Refer to the graph above which shows the heart rate,in beats per minute, of a jogger during a 4-minute interval. 2 to 3 0 to 1 3 to 4 1 to 2 None 36. The graph above represents a jogger’s speed during her 20-minute jogaround her neighborhood. Which statement best describes what thejogger was doing during the 9 to 12 minute interval of her jog? She was jogging at a constant rate. She was decreasing her speed. She was standing still. She was increasing her speed. None 37. The lowest value in a set of ordered scores is x and the highest value isy. If each score is increased by k, then which of the following must betrue 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 II only I only I and III None 38. If the average of x, y, and z is 12, what is the average of 3x, 3y, and 3z? 16 26 36 46 None 39. The gas tank in a car holds a total of 16 gallons of gas. The car travels 75 miles on 4 gallons of gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the amount of gas in the tank? Graph C Graph A Graph B Graph D None 40. Refer to the above scatterplot, which shows wrist and neckcircumference measurements, in centimeters, for 12 people. The line of best fit is drawn.What is the average increase in neck circumference per centimeter increase in wrist circumference, correct to the nearest tenth? 2.9 3.0 3.1 2.2 None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
