Chapter 13 · Class 10 CBSE · Formula Sheet
Statistics Formulas — Class 10 CBSE
Compute mean, median, and mode of grouped data; draw cumulative frequency curves (ogives).
Key Formulas
Mean (Direct)
\bar{x} = \dfrac{\sum f_i x_i}{\sum f_i}
Mean (Assumed Mean)
\bar{x} = a + \dfrac{\sum f_i d_i}{\sum f_i}
Mean (Step Deviation)
\bar{x} = a + h \cdot \dfrac{\sum f_i u_i}{\sum f_i}
Median (Grouped)
\text{Median} = l + \left(\dfrac{\frac{n}{2} - cf}{f}\right) \times h
Mode (Grouped)
\text{Mode} = l + \left(\dfrac{f_1 - f_0}{2f_1 - f_0 - f_2}\right) \times h
Empirical Relation
3\text{Median} = \text{Mode} + 2\text{Mean}
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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