1. Homework Answers
1) 2) 3-4) Compare box plot with neighbor 5) No outliers 6) 54 is an outlier, this will increase the mean
Min 8 Q1 12
Median
19.5 Q3 26
Max 54
Min Q1 4
Median
20.5 Q3 26
Max 44

2. Comparing Two Sets of Data
Who has better balance: boys or girls?
Discuss these questions with your group members. Be prepared to share your thoughts.
How can we answer this question?
What experiment can we do?
What would we measure?
How can we answer this question?
What experiment can we do?
What would we measure?

3. Balancing on One Foot
Group Roles: timer/recorder, balancer (rotate roles until each person has had a chance to balance on one foot)
Follow this procedure:
Comfortably balance on your dominant foot before closing your eyes.
Timing starts when you close your eyes and say “start”.
Time ends when you:
Put your other foot down
Open your eyes
Touch an object for balance with hand or foot
Balance for more than 3 minutes
Record your time. Collect your group’s data on a post-it note and bring to the front.
Put students in groups of 3.
The students can wiggle, but not hop or spin while balancing.
Write data on the board and have students enter into List1 and List2 on the calculator.

4. Side-by-Side Boxplots
Create Boxplot for each set of data. (ie. One for girls and one for boys)
Show students how to create side-by-side boxplots in the calculator (set up Plot1 to graph the data in List1 and Plot2 to graph the data in List2 and turn both “ON”). Have them transfer sketches of the box plots to graph paper, using a single number line scale. Be sure to label which box plot is male and which is female.

5. When comparing data...
Data without outliers Center: Mean Spread: Standard Deviation Range Shape: Symmetrical, Skewed Left, Skewed Right Outliers: None
Data with Outliers Center: Median Spread: IQR Range Shape: Symmetrical, Skewed Left, Skewed Right Outliers: State what they are

6. Comparing The Data Sets
Write a description comparing the two data sets in context. Address shape, center, spread, and outliers. Answer the question, “Do boys or girls balances better?”
Statistic
Male Balance
Female Balance
Min Q1 M Q3
Max
IQR
mean
standard deviation
Have students do this with their groups. Share out and discuss.

7. Comparing Types of Peanut Butter
Have students complete the Comparing Data Sets Practice activity in pairs or groups. Discuss answers. Have a couple of groups share their descriptions and discuss the quality of their narratives. The rest of class time can be spent on the Poster Project.

8. Peanut Butter Problem Create a Box Plot & fill in Chart
Listed below are the quality rating values of natural peanut butters:
34, 40, 52, 57, 57, 60, 60, 63, 67, 69, 69, 69, 71, 89
The data values for regular peanut butter are as follows:
11, 23, 23, 26, 29, 31, 31, 33, 34, 34, 35, 40, 40, 43, 45, 46, 49, 54, 54, 60, 76, 83, 83
Create a Box Plot & fill in Chart
Statistic
Natural Peanut Butter
Regular Peanut Butter
Min Q1 M Q3
Max
IQR
mean
standard deviation

9. Peanut Butter Problem
Which measure of center and spread would be most appropriate to use to describe these two sets of data? Explain.
Compare the two data sets in context. Be sure to address shape, center, spread, and outliers. Which type of peanut butter is better?

10. Comparing Types of Peanut Butter
Natural
Regular
Statistic
Natural Peanut Butter
Regular Peanut Butter
Min 34 11 Q1 57 31 M
61.5 40 Q3 69 54
Max 89 83
IQR 12 23
mean
61.2
42.7
standard deviation
13.6
18.8
Natural Peanut Butter Outliers:
34, 89
Which measure of center and spread would be most appropriate to use to describe these two sets of data? Explain.
It would be most appropriate to use the median and the IQR since the Natural Peanut Butter Quality Ratings data set has outliers. Note that since there are outliers on both ends of the data set, they balance out their effects on the mean and thus the value of the mean, 61.2, is close to the value of the median, However, the outliers do inflate the value of the standard deviation, 13.6, as compared to the IQR of 12.
Compare the two data sets in context. Be sure to address shape, center, spread, and outliers. Which type of peanut butter is better?
The distribution of quality ratings for natural peanut butter is slightly skewed to the left as evidenced by the longer whisker on the left side of the box. The distribution of the quality ratings for regular peanut butter is fairly symmetrical. Natural peanut butter has higher quality ratings than regular peanut butter with a median of 61.5 points for natural vs. 40 points for regular. The ratings for regular peanut butter are more spread out, ranging from 11 points to 83 points, and therefore less consistent than the ratings for natural peanut butter which ranges from 34 to 89 points. This can also be seen in the spread of the middle 50% of the data: the spread of the middle for regular peanut butter is 23 points but the spread of the middle for natural peanut butter is 12 points. Overall, natural peanut butter has higher quality ratings.

11. Peanut Butter Problem
Which measure of center and spread would be most appropriate to use to describe these two sets of data? Explain.
 It would be most appropriate to use the median and the IQR since the Natural Peanut Butter Quality Ratings data set has outliers
Compare the two data sets in context. Be sure to address shape, center, spread, and outliers. Which type of peanut butter is better?
The distribution of quality ratings for natural peanut butter is slightly skewed to the left as seen by the longer whisker on the left side of the box. The distribution of the quality ratings for regular peanut butter is fairly symmetrical. Natural peanut butter has higher quality ratings than regular peanut butter with a median of 61.5 points for natural vs. 40 points for regular. The ratings for regular peanut butter are more spread out, ranging from 11 points to 83 points, and therefore less consistent than the ratings for natural peanut butter which ranges from 34 to 89 points. This can also be seen in the IQR: the spread of the middle for regular peanut butter is 23 points but the spread of the middle for natural peanut butter is 12 points. Overall, natural peanut butter has higher quality ratings.