ONE-VARIABLE DATA: DISTRIBUTIONS AND MEASURES OF CENTER AND SPREAD 2 — Problem-Solving and Data Analysis

Questions in this quiz (6)

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

   • $$1$$
   • $$2$$
   • $$3$$
   • $$4$$

2. The box plots summarize the weekly study times, in hours, of students in two different study groups, Group $$A$$ and Group $$B$$. Based on the box plots, which of the following statements must be true?

   • The mean weekly study time of students in Group $$A$$ is greater than the mean weekly study time of students in Group $$B$$.
   • The mean weekly study time of students in Group $$A$$ is less than the mean weekly study time of students in Group $$B$$.
   • The median weekly study time of students in Group $$A$$ is greater than the median weekly study time of students in Group $$B$$.
   • The median weekly study time of students in Group $$A$$ is less than the median weekly study time of students in Group $$B$$.

3. The mean score of $$10$$ students on a science test is $$78$$ points. If the lowest individual score is removed, the mean score of the remaining $$9$$ students becomes $$80$$ points. What was the lowest score?

   • $$60$$
   • $$62$$
   • $$68$$
   • $$70$$

4. The dot plot represents the number of movies watched last year by $$13$$ members of a film club. A new member, who watched $$30$$ movies last year, is added to the club, creating a new data set of $$14$$ members. Which of the following measures will be greater for the new data set than for the original data set?$$I$$. The median number of movies watched$$II$$. The mean number of movies watched

   • $$I$$ and $$II$$
   • $$I$$ only
   • $$II$$ only
   • Neither $$I$$ nor $$II$$

5. The tables below show the distribution of scores on a math quiz for two different classes, Class $$R$$ and Class $$S$$.If the scores for all students in both classes are combined into a single data set, what is the median score of the combined data set?

   • $$70$$
   • $$75$$
   • $$80$$
   • $$85$$

6. Alex and Jordan each recorded their study times for five days. The times, in minutes, are shown in the table below.The mean of the study times for Jordan is $$4$$ minutes less than the mean of the study times for Alex. What is the value of $$t$$?

   • $$34$$
   • $$37$$
   • $$43$$
   • $$80$$