CBSE Class 10 Maths Notes Chapter 14 Statistics Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 14 Statistics. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

## CBSE Class 10 Maths Notes Chapter 14 Statistics

**MEAN (AVERAGE):** Mean [Ungrouped Data] – Mean of n observations, x_{1}, x_{2}, x_{3} … x_{n}, is

**MEAN [Grouped Data]:** The mean for grouped data can be found by the following three methods:

**(i) Direct Mean Method:**

Class Mark = \(\frac { Upper\quad Class\quad Limit+Lower\quad Class\quad Limit }{ 2 }\)

Note: Frequency of a class is centred at its mid-point called class mark.

**(ii) Assumed Mean Method:** In this, an arbitrary mean ‘a’ is chosen which is called, ‘assumed mean’, somewhere in the middle of all the values of x.

…[where d_{i} = (x_{i} – a)]

**(iii) Step Deviation Method:**

….. [where \({ u }_{ i }=\frac { { d }_{ i } }{ h }\) , where h is a common divisor of d_{i}]

**MEDIAN:** Median is a measure of central tendency which gives the value of the middle-most observation in the data.

…where[l = Lower limit of median class; n = Number of observations; f = Frequency of median class; c.f. = Cumulative frequency of preceding class; h = Class size]

(iii) Representing a cumulative frequency distribution graphically as a cumulative frequency curve, or an ogive of the less than type and of the more than type. The median of grouped data can be obtained graphically as the x-coordinate of the point of intersection of the two ogives for this data.

**Mode:**

(i) Ungrouped Data: The value of the observation having maximum frequency is the mode.

(ii) Grouped Data:

…where[l = Lower limit of modal class; f_{1} = Frequency of modal class; f_{0} = Frequency of the class preceding the modal class; f_{2} = Frequency of the class succeeding the modal class; h = Size of class interval. c.f. = Cumulative frequency of preceding class; h = Class size]

Mode = 3 Median – 2 Mean

Median = \(\frac { Mode+2Mean }{ 3 }\)

Mean = \(\frac { 3Median-Mode }{ 2 }\)

### NCERT Notes for Class 10 Maths

- Chapter 1 Real Numbers Class 10 Notes
- Chapter 2 Polynomials Class 10 Notes
- Chapter 3 Pair of Linear equations in Two Variables Class 10 Notes
- Chapter 4 Quadratic Equations Class 10 Notes
- Chapter 5 Arithmetic Progressions Class 10 Notes
- Chapter 6 Triangles Class 10 Notes
- Chapter 7 Coordinate Geometry Class 10 Notes
- Chapter 8 Introduction to Trigonometry Class 10 Notes
- Chapter 9 Some Applications of Trigonometry Class 10 Notes
- Chapter 10 Circles Class 10 Notes
- Chapter 11 Constructions Class 10 Notes
- Chapter 12 Areas related to Circles Class 10 Notes
- Chapter 13 Surface Areas and Volumes Class 10 Notes
- Chapter 14 Statistics Class 10 Notes
- Chapter 15 Probability Class 10 Notes

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