Class 11 Maths Notes students can refer to the Statistics Class 11 Notes Maths Chapter 15 https://www.cbselabs.com/statistics-class-11-notes/ Pdf here. They can also access the CBSE Class 11 Statistics Chapter 15 Notes while gearing up for their Board exams.
CBSE Class 11 Maths Notes Chapter 15 Statistics
Statistics Class 11 Notes Chapter 15
Measure of Dispersion
The dispersion is the measure of variations in the values of the variable. It measures the degree of scatteredness of the observation in a distribution around the central value.
Range
The measure of dispersion which is easiest to understand and easiest to calculate is the range.
Range is defined as the difference between two extreme observation of the distribution.
Range of distribution = Largest observation – Smallest observation.
Mean Deviation
Mean deviation for ungrouped data
For n observations x1, x2, x3,…, xn, the mean deviation about their mean \(\bar { x }\) is given by
Mean deviation about their median M is given by
Mean deviation for discrete frequency distribution
Let the given data consist of discrete observations x1, x2, x3,……., xn occurring with frequencies f1, f2, f3,……., fn respectively in case
Mean deviation about their Median M is given by
Mean deviation for continuous frequency distribution
where xi are the mid-points of the classes, \(\bar { x }\) and M are respectively, the mean and median of the distribution.
Statistics Notes Class 11 Chapter 15
Variance
Variance is the arithmetic mean of the square of the deviation about mean \(\bar { x }\).
Let x1, x2, ……xn be n observations with \(\bar { x }\) as the mean, then the variance denoted by σ2, is given by
Standard deviation
If σ2 is the variance, then σ is called the standard deviation is given by
Standard deviation of a discrete frequency distribution is given by
Standard deviation of a continuous frequency distribution is given by
Class 11 Maths Statistics Notes Chapter 15
Coefficient of Variation
In order to compare two or more frequency distributions, we compare their coefficient of variations. The coefficient of variation is defined as
Note: The distribution having a greater coefficient of variation has more variability around the central value, then the distribution having a smaller value of the coefficient 0f variation.
Class 11 Statistics Notes Chapter 15
Maths Notes For Class 11 CBSE Chapterwise
- Chapter 1Â Sets Class 11 Notes
- Chapter 2 Relations and Functions Class 11 Notes
- Chapter 3 Trigonometric Functions Class 11 Notes
- Chapter 4 Principle of Mathematical Induction Class 11 Notes
- Chapter 5 Complex Numbers and Quadratic Equations Class 11 Notes
- Chapter 6 Linear Inequalities Class 11 Notes
- Chapter 7 Permutations and Combinations Class 11 Notes
- Chapter 8 Binomial Theorem Class 11 Notes
- Chapter 9 Sequences and Series Class 11 Notes
- Chapter 10 Straight Lines Class 11 Notes
- Chapter 11 Conic Sections Class 11 Notes
- Chapter 12 Introduction to Three Dimensional Geometry Class 11 Notes
- Chapter 13 Limits and Derivatives Class 11 Notes
- Chapter 14 Mathematical Reasoning Class 11 Notes
- Chapter 15 Statistics Class 11 Notes
- Chapter 16 Probability Class 11 Notes