IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Big Picture Phew! Calculus is now a thing of the past! We begin our Journey into Stats and Probability. Please put your seat back and tray in their upright and locked position. This could be a bumpy ride… J

Context of this Lessons

Today we will be “reviewing” the basic concepts of Stats and getting into a few new things.

 

To Do Today!

-­‐ Task 0: Warm Up

-­‐ Task 1: Grouped Freq. Table/Histogram

-­‐ Task 2: Mean, Median, Mode

-­‐ Task 3: Measures of Dispersion

-­‐ Task 4:

-­‐ Task 5: Exam Review 2.2

Task 0: Warm Up

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Task 1: Grouped Frequency Table

What are the limitations/problems of the data above? What are the advantages of the data above?

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Task 1 Work:

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Task 2: Mean, Median, Mode

Mean:

Median:

Common Error with the above formula.

Mode:

n = 22 Median is the (22+1)/2 = 11.5 Between the 11th and 12th numbers when ordered.

n = 17 Median is the (17+1)/2 = 9th number when ordered

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics   Task 2 Practice 1.

Find the Mean, Median and Mode of the data above

2.

Find the Mean, Median and Mode of the table representation of this data.

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Task 3: Measures of Dispersion Let’s start by inputting the following data into L1, L2, and L3 respectively. Thrower #1

8.74 8.94 9.66 10.01 10.01 8.43 10.25 10.14 9.04 9.30 8.69 8.85 9.25 9.46 10.23 8.95 9.65 8.79 10.62 9.78 9.26 9.39

Thrower #2

10.39 10.86 10.94 9.00 9.15 9.35 9.35 8.25 8.85 8.95 9.10 10.20 9.53 8.76 8.03 8.96 9.25 9.98 10.82 10.10 8.96 9.68

Thrower #3

8.79 9.39 9.94 11.47 9.72 8.49 9.63 9.49 9.83 8.82 9.24 9.13 9.56 9.94 9.75 9.12 8.96 8.83 9.25 9.38 9.62 9.98

Calculator Analysis of the Data The following is an example… not pulled from the data above.

For now we will be using the one on the right for a “five number summary” to make a box and whisker plot for out data… Please make a box and whisker plot for all three throwers on the number line below. Talk about what they show us about the throwers…

T1 T2 T3

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Some Notes on Dispersion, 5 Number Summary and Box and Whisker Plots:

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics  

Task 4: Practice

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics   Task 5: IB Exam Review 2.2 – Functions

Paper 1

Paper 2

IB  SL  2  -­‐  Lesson  11.1  Stats   Unit  11:  Statistics