Box and Whisker Plot Performance Assessment



Statistics Day 2 Homework

Multiple Choice: Identify the choice that best completes the statement or answers the question.

1. The number of absent students at Fairview Middle School is shown for each month of the school year below. Which of the following measures would make the monthly absentee rate appear as small as possible?

|Month |Absent |

| |Students |

|September |15 |

|October |13 |

|November |11 |

|December |16 |

|January |24 |

|February |19 |

|March |8 |

|April |8 |

|May |6 |

|a. |mean |c. |range |

|b. |mode |d. |median |

2. The box-and-whisker plot shows the masses, in grams, of several specimens of rock collected by a geologist. What is the range of the masses?

|Mass (grams) |

|[pic] |

|a. |35 |c. |36 |

|b. |33 |d. |12 |

3. The performance review scores for several employees in a work group are shown in the table. Which of the following measures would tend to make the score appear as high as possible?

|Employee |Performance |

|I.D. Number |Review |

| |Score |

|101 |86 |

|102 |90 |

|103 |87 |

|104 |77 |

|105 |78 |

|106 |72 |

|107 |84 |

|108 |87 |

|a. |mean |c. |mode |

|b. |median |d. |range |

4. The performance reviews for several employees at a company are shown in the box-and-whisker plot below. What is the range of the performance review scores?

|Performance Reviews |

|[pic] |

|a. |31 |c. |20 |

|b. |36 |d. |34 |

5. The box-and-whisker plot shows the number of hours students in Holly’s class spent volunteering last summer. Which of the following would be the most accurate measures of central tendency for the data?

|Volunteer Hours |

|[pic] |

|a. |the mean or mode |c. |the mode or range |

|b. |the mean or median |d. |the median or range |

. 6. Which box-and-whisker plot represents a situation where 75% of the data is 200 or less?

A. [pic] B.

C. [pic] D.

7. Circle any the following that can be determined by looking at a Box and Whisker plot:

a. Leaf e. Stem i. Median

b. lowest number f. Highest Number j. number of numbers

c. Interquartile Range g. Mode k. Standard deviation

d. Mean h. Range l. [pic]

Box-and-Whisker Plots Statistics Day 2: Halloween Fun!

Names of Group Members: ___________________________________________________

We are going to use the data sets provided about Halloween to create box and whisker plots. You will be given 3 different statistic statements to investigate.

First Statement: _______________________________________________________________

Data Set

|2010 |2009 |2008 |2007 |2006 |2005 |2004 |

| | | | | | | |

Data in order:

Mean = ____________ Lower Extreme = ______

Median = ______ Quartile 1 = ______

Mode = _______ Quartile 3 = ______

Range=_________ Upper Extreme = ______

Interquartile range = ________

Box and Whisker Plot:

Second Statement: ___________________________________________________________

Data Set

|2010 |2009 |2008 |2007 |2006 |2005 |2004 |

| | | | | | | |

Data in order:

Mean = ____________ Lower Extreme = ______

Median = ______ Quartile 1 = ______

Mode = _______ Quartile 3 = ______

Range=_________ Upper Extreme = ______

Interquartile range = ________

Box and Whisker Plot:

Third Statement: ___________________________________________________________

Data Set

|2010 |2009 |2008 |2007 |2006 |2005 |2004 |

| | | | | | | |

Data in order:

Mean = ____________ Lower Extreme = ______

Median = ______ Quartile 1 = ______

Mode = _______ Quartile 3 = ______

Range=_________ Upper Extreme = ______

Interquartile range = ________

Box and Whisker Plot:

Questions about plots:

1. Which of your three data sets has the smallest range? What does this say about the data?

2. Which data set is the most spread out (or dispersed)? Explain your reasoning.

3. Are there any outliers for your data sets? If so, what are they.

4. For statement one, where would a cluster of the data appear if this was a line graph? If so, Where?

5. Which of the three statements has the largest interquartile range and what is it?

6. Make a statement comparing the medians of the three box and whisker plots.

7. For statement one, 75% of the data is ABOVE what number?

8. For statement two, how does the mode compare to the median?

9. For statement three, the middle 50% of the data is between what numbers?

10. Look at the data for any one of your statements. Make at least one statement about the reasons for the change (or lack of change) in the data?

(For example: If the data that I was looking at was about the number of big bird costumes that were sold each Halloween, this year would have seen a spike and I could have made the statement that there was an increase because of the presidential debates.)

Halloween Statistics

| |2010 |2009 |2008 |2007 |2006 |2005 |2004 |

|Potential Trick-or-Treaters (ages 5-14) (millions) |41 |36 |36 |36 |36.1 |45 |36.4 |

|# Occupied Housing Units in Nation (millions) |116.7 |111.3 |111.4 | |109.6 | |106 |

|% of households who consider their neighborhood safe |92 |92 |93 |93 |93 | | |

|Pumpkin production in the US (billions) |1.1 |.93 |1.1 |1.1 |1 | |.99 |

|# of manufacturing establishments producing chocolate|1177 |1317 |1233 |1170 |1198 |1200 | |

|in the US | | | | | | | |

|Per Capita Consumption of Candy (pounds) |24.7 |24.3 |23.8 |24.5 |26 | |25 |

|# of costume rental establishments |1719 |1814 |2011 |1077 |2232 | |2581 |

|Total Amount Consumers Planned to Spend For the |5.8 |4.75 |5.77 |5.07 |4.96 |3.29 | |

|Halloween Overall (billion $) | | | | | | | |

|% of Consumers Who Plan to Celebrate Halloween |63.8 |62.1 |64.5 |58.7 |63.8 |52.5 |6 |

(Compiled in part by the US Census Bureau)

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