1. Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and$35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?
Indicate all such amounts.

(A) $26,000 (B)$28,000
(C) $29,000 (D)$30,000
(E) $31,000 (F)$32,000
(G) $34,000 2. For the large cars sold at an auction that is summarized in the table above, what was the average sale price per car? 3. Ellen has received the following scores on 3 exams: 82, 74, and 90. What score will Ellen need to receive on the next exam so that the average (arithmetic mean) score for the 4 exams will be 85? 4. The daily temperatures, in degrees Fahrenheit, for 10 days in May were 61, 62, 65, 65, 65, 68, 74, 74, 75, and 77. (a) Find the mean, median, mode, and range of the temperatures. (b) If each day had been 7 degrees warmer, what would have been the mean, median, mode, and range of those 10 temperatures? 5. The numbers of passengers on 9 airline ﬂights were 22, 33, 21, 28, 22, 31, 44, 50, and 19. The standard deviation of these 9 numbers is approximately equal to 10.2. (a) Find the mean, median, mode, range, and interquartile range of the 9 numbers. (b) If each ﬂight had had 3 times as many passengers, what would have been the mean, median, mode, range, interquartile range, and standard deviation of the 9 numbers? (c) If each ﬂight had had 2 fewer passengers, what would have been the interquartile range and standard deviation of the 9 numbers? 6. A group of 20 values has a mean of 85 and a median of 80. A different group of 30 values has a mean of 75 and a median of 72. (a) What is the mean of the 50 values? (b) What is the median of the 50 values? 7.  Quantity A Quantity B The average of three numbers if the greatest is 20 The average of three numbers if the greatest is 2 8. On the final exam in History 101, the average score for the girls was 72 and for the boys, 70.  Quantity A Quantity B The average score for the class 71 9. Mr. Smith’s average annual income in each of the years 1966 and 1967 is x dollars. His average annual income in each of the years 1968, 1969, and 1970 is y dollars. What is his average annual income in the five continuous years 1966 through 1970? (A) 2x/5 + 3y/5 (B) x/2 + y/2 (C) 5(x + y) (D) 5x/2 + 5y/2 (E) 3x/5 + 2y/5 10. The average temperature in New Orland from January through August is 36°C. The minimum and the maximum temperatures between September and December are 26°C and 36°C, respectively.  Quantity A Quantity B The average temperature for the year 36°C 11. The average of x, y, and z is 8 and the average of y and z is 4. What is the value of x? (A) 4 (B) 9 (C) 16 (D) 20 (E) 24 12. The average of x and y is 55. The average of y and z is 75  Quantity A Quantity B z-x 40 13. In Clarice’s class, each test weights her overall grade average three times as much as each quiz does. If Clarice scored 88 and 94 on two quizzes, respectively, and she scored 90 on the only test, what is her current overall grade average? 14. What is the average of x, x-6, and x + 12? (A) x (B) x + 2 (C) x + 9 (D) 3x + 6 (E) It cannot be determined from the information given 15. The average of four numbers is 12. If the set of numbers includes 9, 11, and 12, what is the fourth number? (A) 12 (B) 14 (C) 16 (D) 20 (E) 24 ##### Answer: 1 A ($26,000) and B (\$28,000).
2  6,000
3  94
4 In degrees Fahrenheit, the statistics are
(a) mean=68.6, median=66.5, mode=65, range=16
(b) mean=75.6, median=73.5, mode=72, range=16
5
(a) mean=30,median=28,mode=22, range=31, interquartile range=17
(b) mean=90, median=84, mode=66, range=93, interquartile range=51
standard deviation=3\sqrt( \frac{ 940 }{ 9 } )\approx30.7
(c) interquartile range=17,standard deviation\approx10.2
6 (a) mean=79 (b) The median cannot be determined from the information given.
7 D
8 D
9 A
10 B
11 C
12 C
13 90.4
14 B
15 C