Study Guide

1. Use the following data to find the median, first quartile, and third quartile. Using your findings, create a box and whisker plot. 28, 24, 30, 29, 18, 14, 15 Median: ___________ 1st Quartile: ____________ 3rd Quartile: _____________

• Median: 29, 1st Quartile: 18, 3rd Quartile: 29
• Median: 24, 1st Quartile: 15 3rd Quartile: 29
• Median: 18, 1st Quartile: 24, 3rd Quartile: 30

2. Analyze the following box and whisker plot which displays the heights of 40 randomly chosen adults. Use the box and whisker plot to answer the following questions. What is the median height of the adults surveyed?

• 65
• 58
• 68

3. Analyze the given histogram which displays the ACT Composite score of several randomly chosen students. Use the histogram to answer the following questions. Exactly how many students are represented?

4. What is the value of the third quartile shown on the box-and-whisker plot below?

5. Which statistic can not be determined from a box plot representing the scores on a math test in Mrs. DeRidder’s algebra class?

• the lowest score
• the highest score
• the score that occurs most frequently

6. The histograms below show the scores for Mrs. Smith’s first and second block class at Red Rock Middle School.

• The number of students that passed the test is the same in both classes.
• More students passed in first block than second block.
• Cannot be determined based on the graphs given

7. This box plot represents scores on the final exam for a physics class. What is the median for this data? What are the first and third quartiles for this data? What is the interquartile range for this data?

9. Use the following information to answer the next three exercises. The following contingency table displays the number of students who report studying at least 15 hours per week, and how many made the honor roll in the past semester. Complete the table. Find P(honor roll\|study at least 15 hours per week). What is the probability a student studies less than 15 hours per week?

10. Using the data below, complete the frequency table. DATA: 30, 32, 11, 14, 40, 37, 16, 26, 12, 33, 13, 19, 38, 12, 28, 15, 39, 11, 37, 17, 27, 14, 36

11. The graph below shows the distribution of scores of 30 students on a mathematics test. How many students core above an 80% on the test?