Name 3.1 Practice: Compare data sets, using Box and ...

[Pages:2]Name_________________________________

3.1 Practice: Compare data sets, using Box and Whisker Plot

SOL: A.9

Find the measures of central tendency and measures of variation (questions 1 & 2)

1. 13, 16, 19, 20, 22, 25, 45

2. 14, 15, 15, 14, 14, 17, 18, 15

Mean_________ Median__________Mode___________

Mean_________Median__________Mode___________

Range_________Upper Q__________Lower Q_________

Range_________Upper Q__________Lower Q_______

Inter-quartile Range_______

1.5(IQR) =

Inter-quartile Range________ 1.5(IQR) =

UQ + 1.5(IQR) =

LQ ? 1.5(IQR) =

Outliers? _____

Upper limit =

Lower limit =

Outliers? _____

3. Use the stem and leaf plot to answer the following questions:

a. What is the best test score?________________________ b. How many students took the test?__________________ c. How many students scored at least a 90?_____________ d. What is the lowest score?__________________________ e. What is the range of the data?______________________ f. How many modes are there?________________________ g. What does grade 8 9 represent?_____________________

4. Construct a box and whisker graph using the following data:

stem leaves 1 223445556678 2 2

5. How do you know if an element in any data set is an outlier? _______________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________

6. Challenge. Construct two different data sets, each of which has the same mean and the same range, but different interquartile ranges.

7.

a. What is the median score?__________________________________________ b. What score represents the first quartile?_______________________________ c.

a. What does the score of 85 refer to?___________________________________ b. What is the range of the test scores?__________________________________ c. How many students got a perfect score on the test? _____

8. Use the box and whisker plot to answer the following questions.

a. What is the median of each data set? Median A = ______ , Median B = ______ . b. Which plot has the lesser range? Range A = ______ , Range B = ______ , then ____ c. Which plot has the greater inter-quartile range? IQR A = ______ , IQR B = ______ , then ____ d. What is the upper quartile of each data set?____________________________ e. What is the lower quartile of each data set?_____________________________ f. What is the least value in plot A?______________________________________ g. What is the greatest value in plot B?___________________________________ h. Which plot represents the larger range of data?__________________________ i. What percent of the data in plot B is between 60 and 85?__________________ j. What percent of the data in plot A is greater than 80?_____________________ k. What percent of the data in plot A is less than 65?________________________ l. What percent of the data in plot B is greater than 60?_____________________ m. Are any of the data points in plot A or B outliers?________________________ n. Which plot gives more predictable values? _______ Why? ___________________________________

9. The box-and-whisker plots below represent the scores for two baseball teams throughout an entire season of games. Which team had a wider range of scores during the season? a. Neither Red Team nor Green Team b. Red Team c. There is not enough information given d. Both teams had the same range in scores e. Green Team

Explain: Range Green = _____ , Range Red = _____ .

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