# Descriptive Statistics

> TSI Math Test Study Guide · Hightower High School P-TECH (2023)
>
> Source: [complete Markdown guide](../TSI-Math-Test-Study-Guide.md) · [original PDF](../1062198634-Hightower-TSI-Test-Study-Guide-v2-MATH.pdf)


#### 1. The average of three numbers is 70. Two of the numbers are 105 and 40. What is the third number?

**A.** 55

**B.** 65

**C.** 70

**D.** 75


#### 2. The mean of three numbers is 14. Two of the numbers are 10 and 6. What is the third number?

**A.** 16

**B.** 18

**C.** 24

**D.** 26


#### 3. The average of 8, 14, and x is 10. What is the value of x?

**A.** 8

**B.** 10

**C.** 11

**D.** 12


#### 4. The average of three numbers is 15. Two of the numbers are 10 and 7. What is the third number?

**A.** 17

**B.** 28

**C.** 32

**D.** 45


#### 5. The average of three numbers is 16. If one of the numbers is 18, what is the sum of the other two numbers?

**A.** 12

**B.** 14

**C.** 20

**D.** 30


#### 6. On 5 days, Lisa swam 650 meters, 675 meters, 725 meters, 800 meters, and 900 meters. What was her average distance per day?

**A.** 700 meters

**B.** 750 meters

**C.** 3,650 meters

**D.** 3,750 meters


#### 7. The number of hours of sleep a person gets per night for one week is shown in the table below. What is the average number of hours of sleep per night for this week?

*Table data: Sunday 8; Monday 6½; Tuesday 6½; Wednesday 7; Thursday 6; Friday 7; Saturday 7½.*

**A.** 6

**B.** $6 \frac{1}{2}$

**C.** 7

**D.** $7 \frac{1}{2}$


#### 8. The distance that Karen ran for each of 5 days is shown in the table below. What was the average distance that Karen ran per day?

*Table data: Monday 4 miles; Tuesday 5 miles; Wednesday 3 miles; Thursday 6 miles; Friday 6 miles.*

**A.** 2.5

**B.** 2

**C.** 4

**D.** 4.8


#### 9. The table below shows a bakery’s cost per cookie for each of the five types of cookies the bakery sells. If the mean cost per cookie is \$0.73, what is the cost per cookie, in dollars, for a sugar cookie?

*Table data: Chocolate chip \$0.73; Double chocolate \$0.82; Oatmeal raisin \$0.70; Sugar $X; Butter pecan \$0.86.*

**A.** 0.54

**B.** 0.67

**C.** 0.79

**D.** 0.89


#### 10. What is the mean (average) stopping distance for the 10 cars?

*Table data: stopping distance 48 (frequency 1), 49 (2), 50 (3), 51 (2), 52 (2).*

**A.** 25

**B.** 49.8

**C.** 50

**D.** 50.2


#### 11. If the mean of the numbers 10, and x is 14, what is the value of x?

**A.** 16

**B.** 17

**C.** 18

**D.** 19


#### 12. What is the average of 8, 6.5, 6.5, 7, 6, 7, 8?

**A.** 7

**B.** 8

**C.** 9

**D.** 10


#### 13. The following are scores for 6 students in Ms. Kennedy’s Math class 451, 500, 600, 422, 603, 514 What is the range of scores?

**A.** 109

**B.** 149

**C.** 178

**D.** 181


#### 14. On 5 trips to the grocery store, James spent \$42, \$51, \$33, \$28, and \$31, what was the average amount James spent per trip?

**A.** 37

**B.** 38

**C.** 39

**D.** 40


#### 15. The table below shows the number of members of a local gardening club who attended each of the three monthly meetings of the club last summer. If no members left or joined the club during the summer, what is the least number of members that the club could have had during the summer?

*Table data: June 44; July 28; August 33.*

**A.** 28

**B.** 35

**C.** 44

**D.** 105


#### 16. From below the list of used truck prices, what is the median price of the truck? 2004 Chevrolet truck \$12,500 2005 Toyota truck \$14,000 2004 Ford truck \$13,500 2006 Dodge truck \$13,000 2002 Mazda truck \$8,700

**A.** \$12,000

**B.** \$12,340

**C.** \$13,000

**D.** \$13,500


#### 17. In a game B scores 6 points on his first move, and 9 points on his second moves. How many points must be scored on his third move, so that the average number of points for the 3 moves will be 12?

**A.** 21

**B.** 22

**C.** 25

**D.** 28


#### 18. The following are Nancy’s scores on 5 math practices, 390, 420, 510, 440, 490 What is the range of her scores?

**A.** 100

**B.** 120

**C.** 440

**D.** 2250


#### 19. Find the range for the group of data items. 3, 16, 3, 16, 3, 16, 3, 16

**A.** 19

**B.** 9.5

**C.** 13

**D.** 16


#### 20. The ages of five friends are 20, 31, 28, 31, and 25. What is the range of their ages?

**A.** 6

**B.** 11

**C.** 13

**D.** 7


#### 21. Average of 3 number is 15. 7 and 10 are 2 numbers. What is the 3rd number?

**A.** 11

**B.** 28

**C.** 32

**D.** 45


#### 22. The average of 3 numbers is 15, the average of 6 other numbers is 12, what is the average of all 9 numbers?

**A.** 11

**B.** 12

**C.** 13

**D.** 15


#### 23. The ages of five friends are 20, 31, 28, 31, and 25. How many are older than the average (arithmetic mean) age?

**A.** 2

**B.** 3

**C.** 4

**D.** 5


#### 24. If 2 is taken out of the series of numbers below, which measure will remain the same? 2 3 4 6 6 7

**A.** Mean

**B.** Median

**C.** Mode

**D.** Range


#### 25. Five friends ages are 20, 31, 28, 31, and 25. How many are older than the average age?

**A.** 2

**B.** 3

**C.** 4

**D.** 1


#### 26. Five friends ages are 20, 31, 28, 31, and 25. What is the range of their ages?

**A.** 6

**B.** 11

**C.** 13

**D.** 7


#### 27. If 2 is taken out of the series of numbers below, which measure will remain the same? 2 3 4 6 6 7

**A.** Mean

**B.** Median

**C.** Mode

**D.** Range