Stat Shield Guided Notes
Stat Shield Guided Notes
Module 1: Center & Spread
NAME:
DATE:
CLASS:
1. Statistics Basic Training
Statistics is the science of collecting, analyzing, and interpreting . A statistical question expects a variety of different answers, while a non-statistical question has only answer.
2. The Mean (The Balanced Center)
Level 1: Centers
The mean (commonly called the average) represents the share or center of balance for a data set.
How to find it:
- all the numbers together to find the sum.
- the sum by the total count of values in the set.
MISSION 1: PIXEL QUEST HIGH SCORES Data Context: Gaming
Five guild members recorded how many levels they cleared in Pixel Quest yesterday: 4, 7, 5, 8, 6. Find the mean.
Step 1: Find the Sum
Step 2: Divide by Count
Mean Level Cleared:
3. The Median (The Exact Middle)
Level 1: Centers
The median is the physical value when numbers are arranged in order.
How to find it:
- Order numbers from least to .
- Find the middle. If there is an even count, find the of the middle two.
MISSION 2: BASKETBALL STAT SHIELD Data Context: Sports
A basketball player scores the following points over 6 games: 12, 15, 12, 18, 20, 13. Find the median.
Step 1: Arrange in Numerical Order Order: ____________________________________________________
Step 2: Locate Middle Two & Average Calculation: _______________________________________________
Median Points:
STAT SHIELD © 2026 • DIGITAL SCIENCE AND MATH LESSONS PAGE 1 / 3
Stat Shield Field Manual
Part 2: Mode, Range & Quick Check
4. The Mode (The Most Common)
Level 2: Frequencies
The mode is the data value (or values) that occurs frequently in the set.
How to find it:
- Count how many times each value appears.
- The value with the count is the mode (can be one, multiple, or ).
MISSION 3: RAINFALL RUNOFF RECORDS Data Context: Environment
An environmental station measures daily precipitation (in mm) over 8 tracking periods: 3, 0, 5, 3, 2, 3, 5, 1. Find the mode.
Tally Frequencies
0: __ | 1: __ | 2: __ | 3: __ | 5: __
Determined Mode(s):
5. The Range (The Boundaries)
Level 2: Spread
The range is the difference between the value and the value.
How to find it:
Formula: Range = Maximum −
MISSION 4: ESPORTS WEEKLY TRAINING HOURS Data Context: Sports
The elite esports team keeps logs of weekly practice/scrimmage hours: 14, 25, 11, 30, 8, 22. Find the range.
Max Value
Min Value
Range
Stat Shield Challenge: Put It Together
Student leaders tracked daily collection bags for a week: 9, 15, 9, 12, 10.
Mean
Median
Mode
Range
STAT SHIELD © 2026 • DIGITAL SCIENCE AND MATH LESSONS PAGE 2 / 3
Stat Shield Deep Dive
Part 3: Mean Absolute Deviation (MAD)
Mean Absolute Deviation (M.A.D.)
The Mean Absolute Deviation (MAD) is a measure of variability. It calculates the average (or distance) between each data value and the of the data set.
The 3-Step Protocol
STEP 1: Find the Mean Find the average of the data set by summing all terms and .
STEP 2: Find Deviations Calculate the absolute difference from the mean. These are always !
STEP 3: Average Them Find the mean of those . This final number is your MAD!
MISSION 5: SOLAR ENERGY HARVEST Data Context: Renewable Energy
The green campus monitors solar daily output (in kWh) of high-efficiency cells across 5 sunny days: 12, 15, 11, 14, 18. Find the MAD.
* STEP 1: Sum = 70. Count = 5. Therefore, the Mean (Average) solar output is: kWh.
| Day Output | Mean Value | Distance from Mean | Absolute Distance |
|---|
| 12 | 14 | | 12 – 14 |
| 15 | 14 | | 15 – 14 |
| 11 | 14 | | 11 – 14 |
| 14 | 14 | | 14 – 14 |
| 18 | 14 | | 18 – 14 |
* STEP 3: Find the Mean of Absolute Deviations
Sum of Abs. Distances
Total Count (n)
MAD
STAT SHIELD © 2026 • DIGITAL SCIENCE AND MATH LESSONS PAGE 3 / 3
Stat Shield Answer Key
Stat Shield Answer Key
Module 1: Teacher Facilitation Guide
TEACHER VERSION Full Solutions Included
1. Statistics Basic Training (Answers)
Statistics is the science of collecting, analyzing, and interpreting data. A statistical question expects a variety of different answers, while a non-statistical question has only one answer.
2. The Mean (The Balanced Center)
Level 1: Centers
The mean (commonly called the average) represents the equal (fair) share or center of balance for a data set.
How to find it:
- Add all the numbers together to find the sum.
- Divide the sum by the total count of values in the set.
MISSION 1: PIXEL QUEST HIGH SCORES Data Context: Gaming
Five guild members recorded how many levels they cleared in Pixel Quest yesterday: 4, 7, 5, 8, 6. Find the mean.
Step 1: Find the Sum
Sum = 4+7+5+8+6 = 30
Step 2: Divide by Count
Divide = 30 ÷ 5 = 6
Mean Level Cleared: 6 levels
3. The Median (The Exact Middle)
Level 1: Centers
The median is the physical middle value when numbers are arranged in order.
How to find it:
- Order numbers from least to greatest.
- Find the middle. If there is an even count, find the average of the middle two.
MISSION 2: BASKETBALL STAT SHIELD Data Context: Sports
A basketball player scores the following points over 6 games: 12, 15, 12, 18, 20, 13. Find the median.
Step 1: Arrange in Numerical Order Ordered Set: 12, 12, 13, 15, 18, 20
Step 2: Locate Middle Two & Average Middle values: 13 & 15. Average = (13 + 15) ÷ 2 = 14
Median Points: 14 points
STAT SHIELD © 2026 • DIGITAL SCIENCE AND MATH LESSONS PAGE 1 / 3 (ANSWER KEY)
Stat Shield Answer Key
Part 2: Mode, Range & Quick Check
4. The Mode (The Most Common)
Level 2: Frequencies
The mode is the data value (or values) that occurs most frequently in the set.
How to find it:
- Count how many times each value appears.
