CrushTheTest SAT Math Preparation

Statistics: Warmup (not SAT-like)

Home • Add Navigation Bar and Control Buttons

1. The median of 10, 10, 10, 10, 10 is: (A) 0 (B) 5 (C) 10 (D) 50 (E) there is no median Show Brief Solution The median is the physical middle. When there are an odd number of numbers, the median is one of the numbers. In this case the physical middle is 10. Show Answer Choices	2. The median of 2, 8, 8, 12 is: (A) 2 (B) 8 (C) 12 (D) 10 (E) 5 Show Brief Solution Since there are an even number of numbers, the median (the physical middle) is between 8 and 8. So the median is 8. Show Answer Choices
3. The median of 2, 2, 3, 7, 9 is: (A) 2 (B) 3 (C) 7 (D) 5 (E) 2.5 Show Brief Solution The physical middle is 3. Show Answer Choices	4. The median of 2, 2, 3, 100 is: (A) 2 (B) 3 (C) 100 (D) 51.5 (E) 2.5 Show Brief Solution Since there are an even number of numbers, the median is between 2 and 3. The median is 2.5 (the average of 2 and 3). Show Answer Choices

5. The median of 2, 2, 2, 6 is: (A) 2 (B) 6 (C) 4 (D) 3 (E) there is no median Show Brief Solution The physical middle is between 2 and 2. The median is 2. Show Answer Choices	6. The mode of 2, 8, 8, 12 is: (A) 2 (B) 8 (C) 12 (D) 10 (E) 5 Show Brief Solution The most common number is the mode. The mode is 8. Show Answer Choices
7. The mode of 2, 5, 9, 11 is: (A) 2 (B) 5 (C) 9 (D) 11 (E) all of these Show Brief Solution There is a tie for the mode. In this case the mode is 2, 5, 9, AND 11 since they all occur once and no number occurs twice. Show Answer Choices	8. The mode of 2, 2, 8, 8, 10 is: (A) 2 (B) 8 (C) 10 (D) 2 and 8 (E) there is no mode Show Brief Solution There are 2 modes: 2 and 8. If there is a tie in the frequency of occurrence there are multiple modes (in this case, 2 and 8 both appear twice). Show Answer Choices

9. The median of 1, 2, 3, 50, 70, 70, 80 is:

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70

Show Brief Solution

The physical middle is 50.

Show Answer Choices

10. Which of the following is true of the set of four numbers a, b, c, d?

(A) b > a
(B) the median is (b+c)/2
(C) d > a
(D) a ≠ d
(E) none of these

Show Brief Solution

Unless they say the numbers are in order from lowest to highest you can't assume that that is the case. (If it were, choice B would be true.) So this is a trick question and the answer is (E).

Show Answer Choices