πΊοΈ Chapter Roadmap
1 The 3 M's of Statistics
If you have a set of numbers (Example Data: 2, 5, 5, 8, 10), there are three main ways to find the "center" of that data:
π Mean (Average)
Add all numbers together and divide by the total count.
π― Median (Middle)
The number in the exact middle after you sort them from smallest to largest.
Note: If there are 2 middle numbers, take their average!
π Mode (Popular)
The number that appears most often in the data set.
Mode = 5
2 Range (The Spread)
The range tells us how spread out the data is. It is the difference between the highest and lowest values.
3 Probability (How likely?)
Probability measures the chance of an event happening. It is always a value between 0 and 1 (or 0% to 100%).
Impossible Event
(e.g., Sun rising from the West)
Certain Event
(e.g., Tomorrow will follow Today)
The Probability Formula
(How many ways it can happen / All the ways it could happen)
4 Coins & Dice Problems
Tossing a Coin
A coin has 2 sides (Head, Tail). Total outcomes = 2.
P(Tail) = 12 (or 0.5)
Rolling a Dice
A dice has 6 numbers (1, 2, 3, 4, 5, 6). Total outcomes = 6.
P(even number) = 36 = 12