Stats Day 2: Boxplot Practice Name___________________________ Block______

Instructions: Complete each problem on a separate piece of paper; be sure to address all parts of the problem.

1. The following data gives the number of passing touchdowns for the 9 quarterbacks who threw the most touchdowns during the 2004 NFL season.

50, 31, 39, 30, 29, 28, 27, 27, 21

a. Find the five number summary for the above data without the use of a calculator.b. Find the range of the data.c. Find the interquartile range (IQR) of the data.d. Check to see if there are any outliers in the above data set.e. Graph a boxplot of the data. (Be sure to label the axes).

2. The boxplot below shows the daily mean temperature in degrees Fahrenheit (F) for November 1940, Madison, Wisconsin

a) What is the median temperature?b) What is Q1 and what percent of temperatures fall below Q1?c) What is the highest temperature that Madison, Wisconsin got within this data?d) Write a summary in regards to this data, make sure to include all 4 points.

3. The box plot shows the ages of Oscar Winning Actors from 1975 to 2004.

a) What is the approximate median age of females to win an Oscar?b) What is the approximate median age of males to win an Oscar?c) Comparing (a) and (b) results, what can you say about this data in regards to the median age of male and

females who win Oscars?

d) How many outliers does A have? How many for B?

4. Shown below are the scores 16 students received on a math quiz.

52, 60, 66, 98, 66, 92, 72, 91, 82, 84,72, 75, 74, 73, 99, 59

a. What is the median of this data set?b. Find the range of the data set.c. Find the five number summary and represent it in a boxplot.d. Write a summary to describe the data.

5. The ages of the 15 employees at Applebees are given below.

16, 44, 42, 17, 17, 37, 19, 22, 33, 25, 26, 33, 29

a. Determine the median and quartile values for the data setb. Create a boxplot for the data.

6. Twenty of Mr. Greco’s physics students recently took a quiz. The results of this quiz are shown in the following boxplot. Assume that all scores are whole numbers.

a. What is the median score on Mr. Greco’s math quiz?b. What was the range of the scores on Mr. Greco’s quiz?c. What score was greater than or equal to 75% of all other scores on this quiz?d. Mr. Greco regulary sets the passing grade on his quizzes to be the score of the lower quartile. What

is the passing grade on the quiz?

7. Which of the following boxplot diagram shows a data set with the greatest median?