[Math Center]

Questions 1 to 3 are based on the following data.

1. pikachu(1)

If the dollar amount of sales at Store [latex]P[latex] was $[latex]800,000[latex] for [latex]2006[latex], what was the dollar amount of sales at that store for [latex]2008[latex] ?

(A) $[latex]727,200[latex]
(B) $[latex]792,000[latex]
(C) $[latex]800,000[latex]
(D) $[latex]880,000[latex]
(E) $[latex]968,000[latex]

 

2.  At Store [latex]T[latex], the dollar amount of sales for [latex]2007[latex] was what percent of the dollar amount of sales for [latex]2008[latex] ?
Give your answer to the nearest [latex]0.1[latex] percent.

 

3.  Based on the information given, which of the following statements must be true?
Indicate all such statements. 

A For [latex]2008[latex] the dollar amount of sales at Store [latex]R[latex] was greater than that at each of the other four stores. 
B The dollar amount of sales at Store [latex]S[latex] for [latex]2008[latex] was [latex]22[latex] percent less than that for [latex]2006[latex]. 
C The dollar amount of sales at Store [latex]R[latex] for [latex]2008[latex] was more than [latex]17[latex] percent greater than that for [latex]2006[latex].

 

4. A list of numbers has a mean of [latex]8[latex] and a standard deviation of [latex]2.5[latex]. If x is a number in the list that is [latex]2[latex] standard deviations above the mean, what is the value of [latex]x[latex] ?

 

5. pikachu(1)

The circle graph above shows the distribution of [latex]200,000[latex] physicians by specialty. Which of the following sectors of the circle graph represent more than [latex]40,000[latex] physicians?
Indicate all such sectors.

(A) Pediatrics
(B) Internal Medicine
(C) Surgery
(D) Anesthesiology
(E) Psychiatry

 

6. pikachu(1)

List [latex]X[latex] and list [latex]Y[latex] each contain [latex]60[latex] numbers. Frequency distributions for each list are given above. The average (arithmetic mean) of the numbers in list [latex]X[latex] is [latex]2.7[latex], and the average of the numbers in list [latex]Y[latex] is [latex]7.1[latex]. List [latex]Z[latex] contains [latex]120[latex] numbers: the [latex]60[latex] numbers in list [latex]X[latex] and the [latex]60[latex] numbers in list [latex]Y[latex].

Quantity A Quantity B
The average of the [latex]120[latex] numbers in list [latex]Z[latex] The median of the [latex]120[latex] numbers in list [latex]Z[latex]

 

 

7. pikachu(1)In the course of an experiment, [latex]95[latex] measurements were recorded, and all of the measurements were integers. The [latex]95[latex] measurements were then grouped into [latex]7[latex] measurement intervals. The graph above shows the frequency distribution of the [latex]95[latex] measurements by measurement interval.

Quantity A Quantity B
The average (arithmetic mean) of the [latex]95[latex] measurements The median of the [latex]95[latex] measurements

 

Questions 8 to 9 are based on the following data.

8.  pikachu(1)

For which year was the ratio of the Security holes to Bugs fixed by the software company the greatest?

(A) [latex]1998[latex]
(B) [latex]1999[latex]
(C) [latex]2000[latex]
(D) [latex]2001[latex]
(E) [latex]2002[latex]

 

9.  If the total number of software problems solved is a direct measure of the company’s capability, then by approximately what percent did capability increase from [latex]1999[latex] to [latex]2002[latex]?

(A) [latex]10[latex]%
(B) [latex]20[latex]%
(C) [latex]30[latex]%
(D) [latex]40[latex]%
(E) [latex]50[latex]%

 

Questions 10 to 12 are based on the following data.pikachu(1)

 The Difficulty Factor of the exam is the sum of the products of the number of questions of each type and the corresponding difficulty level. The Stress Factor is the Difficulty Factor divided by the Average Time Per Question

10. By approximately what percent did the number of questions decrease in CET [latex]1994[latex] over the previous year?

(A) [latex]16[latex]%
(B) [latex]19[latex]%
(C) [latex]35[latex]%
(D) [latex]40[latex]%
(E) [latex]50[latex]%

 

11. The Difficulty Factor is the greatest for which one of the following exams?

(A) CET [latex]1990[latex]
(B) CET [latex]1991[latex]
(C) CET [latex]1992[latex]
(D) CET [latex]1993[latex]
(E) CET [latex]1994[latex]

 

12. Which one of the following exams has been marked as having the highest Stress Factor?

(A) CET [latex]1990[latex]
(B) CET [latex]1991[latex]
(C) CET [latex]1992[latex]
(D) CET [latex]1993[latex]
(E) CET [latex]1994[latex]

13. If a set of data consists of only the first ten positive multiples of [latex]5[latex], what is the interquartile range of the set?

(A) [latex]15[latex]
(B) [latex]25[latex]
(C) [latex]27.5[latex]
(D) [latex]40[latex]
(E) [latex]45[latex]

 

14. On a given math test out of [latex]100[latex] points, the vast majority of the [latex]149[latex] students in a class scored either a perfect score or a zero, with only one student scoring within [latex]5[latex] points of the mean. Which of the following logically follows about Set [latex]T[latex], made up of the scores on the test?
Indicate all such statements.
A. Set [latex]T[latex] will not be normally distributed.
B. The range of Set [latex]T[latex] would be significantly smaller if the scores had been more evenly distributed.
C. The mean of Set [latex]T[latex] will not equal the median.

 

15. If Set [latex]X[latex] is a normally distributed set of numbers with a mean of [latex]4[latex] and a standard deviation of [latex]4[latex], approximately what is the probability that a number chosen at random from the set will be negative?

(A) [latex]1/10[latex]
(B) [latex]1/6[latex]
(C) [latex]1/4[latex]
(D) [latex]1/3[latex]
(E) [latex]1/2[latex]

 

 

 

 

 

Answer:

1 B
2 108.7%
3 C
4 13
5 A, B, C
6 B
7 A
8 B
9 B
10 A
11 A
12 A
13 B
14 A
15 B