Home Class 11 Applied Maths Chapter 11: Correlation Analysis

CBSE Applied Maths (2026-27) Unit V: Descriptive Statistics Weightage: ~10 Marks in Unit

Chapter 11: Correlation Analysis

Analyze relationships between bivariate variables using scatter plots, Karl Pearson's coefficient (r), and Spearman's rank correlation (ρ).

4 Exercises

CBSE Curriculum Aligned

Interactive Quizzes & Solutions

Chapter Exercises & Topics

Select any exercise to access theory notes, formulas, practice drills, and mini tests.

Exercise 11.1 45 mins

Study Exercise Mini Test

Exercise 11.2 45 mins

Graphical plotting and visual identification of degree/direction of relationship
Perfect positive/negative correlation patterns and zero correlation clusters

Study Exercise Mini Test

Exercise 11.3 45 mins

Study Exercise Mini Test

Exercise 11.4 45 mins

Study Exercise Mini Test

Quick-glance formula revision for examination and numerical problem-solving:

$$\text{Positive: Both variables increase or decrease together}$$
$$\text{Negative: One variable increases while the other decreases}$$
$$-1 \le r \le +1$$
$$\text{Points on line sloping upwards from left to right } \implies r = +1$$
$$\text{Points on line sloping downwards from left to right } \implies r = -1$$
$$r = \frac{\sum(x - \bar{x})(y - \bar{y})}{\sqrt{\sum(x - \bar{x})^2 \sum(y - \bar{y})^2}} = \frac{\text{Cov}(X, Y)}{\sigma_x \sigma_y}$$
$$r = \frac{N\sum xy - \sum x \sum y}{\sqrt{[N\sum x^2 - (\sum x)^2][N\sum y^2 - (\sum y)^2]}}$$
$$\rho = 1 - \frac{6\sum d_i^2}{n(n^2 - 1)} \quad \text{where } d_i = R_x - R_y$$
$$\text{Tied Ranks: } \rho = 1 - \frac{6\left[\sum d^2 + \sum \frac{m(m^2-1)}{12}\right]}{n(n^2-1)}$$