Unit 7 · Class 10 IB MYP · Formula Sheet
Statistics (Standard Deviation) Formulas — Class 10 IB MYP
Calculate variance and standard deviation; compare data sets using statistical measures.
Key Formulas
Mean
\bar{x} = \dfrac{\sum f_i x_i}{\sum f_i}
Variance
\sigma^2 = \dfrac{\sum f_i(x_i - \bar{x})^2}{\sum f_i}
Standard Deviation
\sigma = \sqrt{\dfrac{\sum f_i(x_i - \bar{x})^2}{\sum f_i}}
Alternative Variance
\sigma^2 = \dfrac{\sum f_i x_i^2}{\sum f_i} - \bar{x}^2
Worked Examples
1Using: Probability
A die is thrown. Find P(getting an even number).
Step 1: Even outcomes: {2, 4, 6} = 3.
Step 2: Total outcomes = 6.
Step 3: P = 3/6 = 1/2.
Answer: 1/2
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