Problem-Solving and Data Analysis: One-variable data-Distributions and measures of center and spread — Quiz 4

Questions in this quiz (10)

1. For which of the following data sets is the mean greater than the median?

   • $$6,6,6,6,6,6,6$$
   • $$2,4,6,8,10,12,14$$
   • $$3,6,12,24,48,96,192$$
   • $$5,50,50,50,50,50,50$$

2. Data set A consists of 8 positive integers less than 80. The list below shows 7 of them: $$41,42,39,38,40,43,41$$ The mean of these 7 integers is $$40$$. If the mean of all 8 integers is an integer greater than $$40$$, what is the value of the largest integer in data set A?

   • 72

3. The frequency distribution below summarizes a data set, where $$a$$ is a positive integer. How much greater is the mean of the data set than the median?

   • $$0$$
   • $$0.5$$
   • $$1$$
   • $$2$$

4. If $$a$$ is the mean and $$b$$ is the median of eleven consecutive integers, what is the value of $$|a-b|$$?

   • 0

5. For a certain game, scores range from $$1$$ to $$9$$. The table shows the scores of $$10$$ players in group A and $$12$$ players in group B: The median of the scores for group B is how much greater than the median for group A?

   • 1

6. The prices, in dollars, of gasoline at five stations are: $$3.589,3.629,3.609,3.649,3.689$$ What is the median price?

   • $$3.609$$
   • $$3.629$$
   • $$3.649$$
   • $$3.689$$

7. A frequency table summarizes weights of $$60$$ animals. A new value of $$100$$ pounds is added, creating a data set of $$61$$ animals. Which statement must be true?

   • The mean increases and the median increases
   • The mean increases and the median stays the same
   • The mean decreases and the median increases
   • The mean decreases and the median stays the same

8. Two teams each have $$8$$ runners. The mean time for Team A is $$4.2$$ minutes, and the mean time for Team B is $$4.8$$ minutes. Which must be true? I. Every runner on Team A ran faster than every runner on Team B. II. The median time of Team B is greater than the median time of Team A. III. At least one runner on Team B ran slower than some runner on Team A.

   • III only
   • I and III only
   • II and III only
   • I, II, and III

9. The mean number of hours worked by $$15$$ employees is $$32$$ hours. After one employee leaves, the mean of the remaining $$14$$ employees is $$30$$ hours. How many hours did the employee who left work?

   • $$60$$
   • $$62$$
   • $$64$$
   • $$70$$

10. The mean score of $$9$$ players is $$18$$ points. When the highest score is removed, the mean of the remaining $$8$$ players is $$16$$ points. What was the highest score?

    • $$30$$
    • $$32$$
    • $$34$$
    • $$36$$