0In statistics, the mean is a measure of central tendency that represents the average of a set of numbers. For JEE Main, understanding the mean, including its calculation and properties, is crucial for solving problems related to probability and statistics. It's one of the key concepts in data analysis, and you'll find it used extensively in various applications
Calculation of Mean:
- Ungrouped Data: For a set of numbers x₁, x₂, ..., xₙ, the mean (often denoted by x̄ or μ) is calculated by summing all the values and dividing by the total number of values (n). The formula is:
x̄ = (x₁ + x₂ + ... + xₙ) / n or x̄ = (1/n) * Σxᵢ.
- Grouped Data: When data is presented in frequency distributions (grouped data), the mean is calculated using the formula:
x̄ = Σ(fᵢ * xᵢ) / Σfᵢ , where fᵢ is the frequency of each class and xᵢ is the class mark (midpoint of the class interval)
