Data Analysis, Statistics & Probability
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Practice Set 1: Multiple Choice
Questions 1 and 2 refer to the following graph.



1.    According to the information in the graph, what year saw a decrease in the number of cars sold?
(A) 1980
(B) 1981
(C) 1982
(D) 1983
(E) 1984
2.    According to the information in the graph, in what two years were the number of cars sold closest to equal?
(A) 1980 and 1981
(B) 1981 and 1982
(C) 1981 and 1983
(D) 1983 and 1985
(E) 1984 and 1985
Question 3 refers to the following set.

                  Set A {6, 8, 3, 2, 3, 5, 9, 5, 12, 3, 9, 1, 1, 6, 7}

3.    The numbers in set A represent the amount of money in dollars that 15 students brought to school. Which of the following is the median amount of money the students brought to school?
(A) 3
(B) 5
(C) 6
(D) 7
(E) 8
Questions 4 and 5 refer to the following graph.



The pie chart above represents the monthly distribution of family X’s income.

4.    According to the graph, how much is family X’s mortgage in dollars?
(A) 216
(B) 312
(C) 456
(D) 624
(E) 792
5.    If family X completed all its car payments and transferred all the auto money into the “Fun” budget, then family X would most nearly spend the same amount on fun as they spend on
(A) food
(B) mortgage
(C) bills
(D) food and bills
(E) food and mortgage
                  Set D {9, 11, 6, x, x}

6.    In set D above, what is the value of x if the average of the five numbers is 8?
(A) 4
(B) 7
(C) 8
(D) 10
(E) 14
                  Set G {5, 8, 13, x, y}

7.    If x and y are distinct positive integers and the average of set G is 6.8, then which of the following could be the mode of set G?
(A) 13
(B) 11
(C) 9
(D) 8
(E) 5
8.    A certain deck of cards consists only of 10’s, Jacks, Queens, and Kings, and is divided up evenly in a 52-card deck. What is the probability of not drawing a Jack?
(A)
(B)
(C)
(D)
(E)
Questions 9 and 10 refer to the following graph.



The graph shows the values of Stock Z for the year 1987.

9.    The greatest increase for Stock Z, compared to the month before, occurred during which month?
(A) April
(B) May
(C) December
(D) March
(E) August
10.    For the overall year, 1987, what was the percent increase of Stock Z?
(A) 250%
(B) 100%
(C) 50%
(D) 20%
(E) 0%
Question 11 refers to the following graph.



Of all the students sent to the principal’s office on one school day, each was asked his/her soda consumption for that day. The graph above represents each child’s answer.

11.    If you were to draw a line showing the average ratio of principal’s office visits to sodas consumed, this line would most likely pass through point

(A) K
(B) I
(C) H
(D) G
(E) F
12.    The average income of Ironville, Pennsylvania, is $24,000 a year. A new mill has brought in six new incomes that increase the average to $32,000. If there were initially eight incomes in Ironville, what is the average income of the six new families?
(A) $42,666.67
(B) $74,666.67
(C) $106,666.67
(D) $192,000.00
(E) $256,000.00
13.    In a certain bag of candy-coated chocolates with peanut centers, seven are yellow, three are red, five are blue, five are brown, and eight are green. If two candies are chosen at random, what is the probability that the first is green and the second is red?
(A)
(B)
(C)
(D)
(E)
Questions 14 and 15 refer to the following graph.



14.    What percent of the students scored between 61 and 89?
(A) 2%
(B) 14%
(C) 50%
(D) 68%
(E) 74%
15.    What are the mean, median, and mode, respectively, of the test scores?
(A) 89, 80, 75
(B) 75, 75, 75
(C) 61, 75, 89
(D) 89, 75, 61
(E) 75, 61, 89
16.    Iron Chef is preparing an eclectic six-course meal to consist of shrimp cocktail, mango salad, miso soup, stir-fried eggplant, turducken (chicken stuffed into a duck stuffed into a turkey), and a chocolate éclair. Disregarding all formality to the traditional order of the courses, in how many different orders can the courses be presented?
(A) 240
(B) 440
(C) 720
(D) 1,440
(E) 1,640
Questions 17 and 18 refer to the following graph.



17.    In 2000, Company X had to add security costs and company relocation to its profit distribution. These expenses were taken out of employee benefits. What was the approximate percent decrease in employee benefits from 1970 to 2000?
(A) 7.5%
(B) 17.5%
(C) 25%
(D) 33.3%
(E) 35%
18.    If the Board of Directors consists of the same eight people for both 1970 and 2000, then between 1970 and 2000, each board member, on average, saw his or her portion of profits increase by how much?
(A) $225,000
(B) $675,000
(C) $900,000
(D) $1,200,000
(E) $1,800,000
19.    If one dart is thrown at the figure above, what is the probability of it hitting the white regions of the inner circle?
(A)
(B)
(C)
(D)
(E)
20.    The student committee to investigate the missing prom funds is to be made up of four members of the student council. If there are seven members in the student council, then how many different committees are possible?
(A) 840
(B) 210
(C) 120
(D) 35
(E) 24


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