Statistics Class 10 Notes Maths Chapter 14

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. https://www.cbselabs.com/statistics-class-10-notes/

CBSE Class 10 Maths Notes Chapter 14 Statistics

Statistics Class 10 Notes Chapter 14

MEAN (AVERAGE): Mean [Ungrouped Data] – Mean of n observations, x₁, x₂, x₃ … 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]

Class 10 Statistics Notes Chapter 14

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.

Statistics Notes Class 10 Chapter 14

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; f₁ = Frequency of modal class; f₀ = Frequency of the class preceding the modal class; f₂ = 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 = \(\frac { 3Median-Mode }{ 2 }\)

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