1. Algebra 1/3/16
Grab a HMWK sheet
Head to GOFORMATIVE!
Graph this:
x=4, y=2x

2. AGENDA
~Box Plots-Height
~Class Phone Usage
~Final Exam FMQ

3. Must be on
8.5 * 11 unlined paper
and your own
Handwriting.
Make use of Color.

5. Box-and- Whis-ker-Plot
(5 Syllables)
5 Summary Data
Min, max, median, Q1, Q3

6. Box-and- Whis-ker-Plot divides data into quarters
can be vertical or horizontal

7. Line up shortest to tallest at
back of room

8. Who has the median height? Q1 (the median of the lower half of data)
Who is the min? Max?
Who has the median height?
Q1 (the median of the lower half of data)
Q3 (median of upper half of data)
Interquartile Range?
Do we have an Outlier?

9. Determining an Outlier
Calculate the Interquartile Range
Multiply by 1.5
Subtract from lower quartile
Add to upper quartile
If any data point is above or below that
point, it is a true outlier.
Q1 – 1.5×IQR or above Q ×IQR

10. Insert Pic of Class Box Plot
Any True outliers? Most thought Caleb was, but to fit statistically he would need to be 1.5 times the IQR, which he isn’t.

11. The ages of the 10 richest people in the world for 2012 and 2013 (in years) are:
2012: 72, 56, 81, 63, 75, 67, 55, 64, 83, : 72, 57, 76, 82, 68, 77, 72, 84, 90, 63
Do 2012 by hand
2013 on TI-84

12. 2012: 72, 56, 81, 63, 75, 67, 55, 64, 83, 92
Order Least to Greatest:
55, 56, 63, 64, 67, 72, 75, 81, 83, 92

13. 2012: 72, 56, 81, 63, 75, 67, 55, 64, 83, 92
Order Least to Greatest:
55, 56, 63, 64, 67, 72, 75, 81, 83, 92

14. 2012: 72, 56, 81, 63,
75, 67, 55, 64, 83, 92

15. Input Data: Stat Highlight Edit 1 Enter
2013: 72, 57, 76, 82, 68, 77, 72, 84, 90, 63
Input Data:
Stat
Highlight Edit 1
Enter

16. Input Data: Type each number Press enter
2013: 72, 57, 76, 82, 68, 77, 72, 84, 90, 63
Input Data:
Type each number
Press enter

17. Can Sort Data Stat Sort A (ascending)
2013: 72, 57, 76, 82, 68, 77, 72, 84, 90, 63
Can Sort Data
Stat
Sort A (ascending)

18. Create Box Plot
2nd Y is STAT PLOT
ENTER
ENTER to highlight ON
Arrow down & over to
highlight Box Plot

19. Set up Axis Zoom Option 9, ZoomStat Enter Use TRACE function to
See Min, Q1, Med, Q3,
and Max values
*This was a big WOW factor-I heard much disbelief as we went through what the calculator was capable of. They enjoyed entering the data and seeing the tech do the stat plots.

20. You Try
Graph 2012 on the Calculator simulataneously to compare the data for the two years.

21. What do you notice about the two graphs
What do you notice about the two graphs? Which year is represented by the top Box Plot? What is the biggest difference between the two years? What conclusions could you draw from the plots?
Possible answers: the bottom box is larger (So the data is spread out further)
The top box plot represents L1 or List 1 which we used to input 2013, the bottom is 2012
In 2012 the median age is much lower 69.5 compared to 74 in What would account for those differences? Who are these people?
What do the sizes of the boxes mean? More people? NO! Farther apart in age.

22. Students make Argument for Dollie vs Willie
Divide by gender and debate the issue. Could we find the mean? Not without Data.
Possible arguments:
Median and IQR make Dolly seem like the better student. Dolly has a higher median score. She also has the smaller IQR, which means that her scores are more consistent. Third quartile and maximum make Willie seem like a better student. Willie’s set has the higher third quartile and maximum. This means that his greatest 25% of scores are all higher than Dolly’s highest score.
*Had two students debate the issue and videoed. Need to insert video.

23. HOW MANY HOURS WERE YOU ON YOUR PHONE LAST WEEK?
Make a prediction!
How many hours did you use your phone
over the past seven days?

24. HOW MANY HOURS WERE YOU ON YOUR PHONE LAST WEEK?
On iPhone, go to
Settings, Battery, and Click the
Clock Icon

25. Add up your total screen times for each app (Remember to use
Like dimensions-all hours or all minutes?)
You can use the TI to make a List and then calculate the sum.

26. I’ve almost put in a full work week
The sum of all x’s
Sigma x
Is hours!!!!
I’ve almost put in a full work week
ON MY PHONE!!!!
We will talk about what all of these stats are but the two main ones today are first and second. First is average, second is sum of all x’s. N is 13, total apps I used. What does the average here mean? Is it the hours I used per day? (NO!, the average I spent per each app) How would we find on average how many hours I use my phone per day? Divide by 7, about 5 hours.

27. Complete the Form so we can do a Box Plot for the class.

28. Complete the Form so we can do a Box Plot for the class.
*We ran out of time here-students were entering their data to form, but didn’t finished inputting all data to calculator. Will resume this tomorrow.

29. *Students were knowlegable with dot plots and could easily find the mean by counting. Some did not know what each dot actually represented (the cities).

30. The correct answer to this item is Option (C)
The correct answer to this item is Option (C). A boxplot is a visual representation of the five-number summary of a dataset: minimum, first quartile (Q1), median (second quartile, Q2), third quartile (Q3), and maximum. In a traditional boxplot, the whiskers extend to the minimum and maximum, and the three vertical lines of the box represent the first quartile, median, and third quartile. In order to determine which boxplot is the correct representation of the data provided in the dotplot, we use the dotplot to calculate values from the five-number summary. First, the median is the average of the 9th and 10th values in this data set since there are 18 data points. Thus, the median is 2.5. The only two answer choices with this median are Option (C) and Option (D), which are distinguished by the location of the third quartile. The third quartile in this data set is the same as the median of the upper 9 data points, or the 15th value in the data set (ordered from lowest to highest). Thus, the third quartile is 7, making Option (C) the correct choice.
The boxplot in Option (D) has the correct median; however, it displays the incorrect value for the third quartile. Students who elect this choice may have a solid understanding of the median, but lack an understanding of quartiles. The boxplot in Option (A) is simply centered halfway between the minimum and maximum and does not contain any correct values for the median or the quartiles. The boxplot in Option (B) displays the correct quartiles, but an incorrect median. This boxplot has similar visual characteristics as the dotplot, with most of the data clustered at the lower values. However, it can sometimes be difficult to visually estimate the median of a data set, which can lead to inaccuracies.
The use of various graphical displays to analyze data and communicate statistical results is an important statistical skill. In particular, it is important for students to recognize that multiple displays may be appropriate for a single dataset and that different displays highlight different features of the raw data.