Guided Notes Key Guided Notes Answer Key
Teacher Resource • Lesson: Force Flux
Grade Level: 6 Subject: Statistics & Probability
01
The Force is Not Constant
Variability describes how spread out the data values are.
Low Variability:
The numbers are...
Close together / similar
High Variability:
The numbers are...
Spread out / very different
02
The Long Range Scan
Range Calculation Formula
GREATEST
Greatest Value
−
LEAST
Least Value
=
Range
03
Quartiles & The Middle Core
Q1 (Lower Quartile):
The median of the lower half.
Q3 (Upper Quartile):
The median of the upper half.
Interquartile Range (IQR)
Q3
−
Q1
=
IQR
This formula shows the spread of the middle 50% of the data.
04
Mission: Grogu's Frogs
Dataset: 3, 5, 12, 2, 1, 7, 9
Step 1: Order the numbers from least to greatest
1, 2, 3, 5, 7, 9, 12
Step 2: Find Median (Q2)
Median = 5
Step 3: Find Q1 and Q3
Q1 = 2 (Median of 1, 2, 3)
Q3 = 9 (Median of 7, 9, 12)
Step 4: Calculations
Calculate Range
12
−
1
=
11
Calculate IQR
9
−
2
=
7
05
Tactical Insight: Outliers
Why is the IQR usually more reliable than the Range when a data set has extreme values (outliers)?
The IQR only looks at the middle 50% of the data, so it completely ignores extreme outliers at the far ends. The Range is calculated using the highest and lowest values, so just one outlier can significantly change the result.
Force Flux Slides Force Flux
Mastering Galactic Variability
Mission Briefing
Objective 1: Calculate the Range of galactic data sets.
Objective 2: Find the IQR to understand data spread.
The Force is Not Constant
Variability tells us how spread out our data is.
Are all droids the same height, or is there a wide variety?
Consistency is key for the Rebellion. Unpredictability helps the Sith!
RANGE
IQR
These are our primary sensors for variability.
The Long Range Scan
The Range is the difference between the greatest and least values.
MAX - MIN
Data: 4, 7, 12, 15, 20
Calculation Results
Range Scan
12 (Max) - 1 (Min)
11
IQR Analysis
Q3 (9) - Q1 (2)
7
The Force Summary
Range
Total spread from edge to edge. High sensitivity to outliers.
IQR
The core spread. Reliable even when outliers strike.
Ready for Hyperjump?
Complete the Droid Data Worksheet to secure your place in the Jedi Archives.
May the Stats Be With You
Droid Data Worksheet Droid Data Worksheet
Mission: Analyze Variability in the Droid Fleet
Pilot:
Date:
01
Droid Range Scanners
Calculate the Range (Greatest - Least) for each droid group below.
A. Astromech Battery Cycles:
140 95 110 165 120
Workspace
Range: ___________________
B. Protocol Languages (Millions):
6.2 3.5 7.1 4.0 5.8
Workspace
Range: ___________________
02
Interquartile Range (IQR) Analysis
Dataset: GNK Droid Charging Times (Minutes)
20 55 15 25 35 45 18
Step 1: Order the data least to greatest
Write ordered sequence here...
Step 2: Median (Q2)
Median = __________
Step 3: Q1 and Q3
Q1 = __________
Q3 = __________
Final Calculation: IQR = Q3 - Q1
−
=
03
Tactical Reflection
If a "Mega-Astromech" with a battery life of 800 cycles was added to Problem A, which measure would change MORE: the Range or the IQR? Explain your reasoning.
Mastery Key Guide Mastery Key Guide
For Teacher Eyes Only • Force Flux Lesson • Statistics Mastery
Part 1: Range Solutions
A
Astromech Battery Life
Data: 95, 110, 120, 140, 165
Max: 165 | Min: 95
Range: 165 - 95 = 70 cycles
B
Protocol Language Chips
Data: 3.5, 4.0, 5.8, 6.2, 6.9, 7.1
Max: 7.1 | Min: 3.5
Range: 7.1 - 3.5 = 3.6 million
Part 2: IQR Analysis Key
Dataset: GNK Charging Times
1. Ordered Data
15, 18, 20, 25, 35, 45, 55
Median (Q2) = 25
Lower Half & Q1
15, 18, 20
Q1 = 18
Upper Half & Q3
35, 45, 55
Q3 = 45
Final IQR Calculation
45 - 18 = 27
Part 3: Tactical Reflection Key
Expected Student Logic:
The Range would change drastically (from 70 to 705). This is because the Range only uses the most extreme values (Max and Min).
The IQR would remain relatively stable. The IQR focuses on the "bulk" of the data in the middle 50% and is effectively shielded from extreme outliers like the Mega-Astromech.
Force Flux Guided Notes Force Flux Guided Notes
Mission: Recording Galactic Variability Data
Pilot:
Stardate:
01
The Force is Not Constant
Variability describes how ___________________________________________________________
Low Variability:
The numbers are...
High Variability:
The numbers are...
02
The Long Range Scan
Range Calculation Formula
Greatest Value
−
Least Value
=
RANGE
03
Quartiles & The Middle Core
Q1 (Lower Quartile):
The median of the __________________ half.
Q3 (Upper Quartile):
The median of the __________________ half.
Interquartile Range (IQR)
Q3
−
Q1
=
IQR
This formula shows the spread of the middle _________ % of the data.
04
Mission: Grogu's Frogs
Dataset: 3, 5, 12, 2, 1, 7, 9
Step 1: Order the numbers from least to greatest
Step 2: Find Median (Q2)
Median = _________
Step 3: Find Q1 and Q3
Q1 = _________
Q3 = _________
Step 4: Calculations
Calculate Range
−
=
Calculate IQR
−
=
05
Tactical Insight: Outliers
Why is the IQR usually more reliable than the Range when a data set has extreme values (outliers)?
Force Flux Intro Theme A long time ago in a classroom far,
FORCE
FLUX
Measures of Variability
Episode VI
The Variability Vanguard
It is a period of statistical unrest. The Rebel Alliance has intercepted technical readouts for the Empire's latest droid fleet.
To defeat the Imperial forces, young Padawans must master the secrets of the RANGE and the INTERQUARTILE RANGE.
Only by measuring the spread of data can they predict the Empire's next move and filter out the noise of the outliers.
As the data flows through the galaxy, the heroes prepare to reveal the true core of the Force Flux....
