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Statistics Class 10 Notes Maths Chapter 14

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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.

CBSE Class 10 Maths Notes Chapter 14 Statistics

MEAN (AVERAGE): Mean [Ungrouped Data] – Mean of n observations, x1, x2, x3 … xn, is
Statistics Class 10 Notes Maths Chapter 14 1

MEAN [Grouped Data]: The mean for grouped data can be found by the following three methods:
(i) Direct Mean Method:
Statistics Class 10 Notes Maths Chapter 14 2
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.
Statistics Class 10 Notes Maths Chapter 14 3
…[where di = (xi – a)

(iii) Step Deviation Method:
Statistics Class 10 Notes Maths Chapter 14 4
….. [where { u }_{ i }=\frac { { d }_{ i } }{ h } , where h is a common divisor of di]

MEDIAN: Median is a measure of central tendency which gives the value of the middle-most observation in the data.
Statistics Class 10 Notes Maths Chapter 14 5
…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 cumaltive 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:
Statistics Class 10 Notes Maths Chapter 14 6
…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 }

We hope the given CBSE Class 10 Maths Notes Chapter 14 Statistics Pdf free download will help you. If you have any query regarding NCERT Class 10 Maths Notes Chapter 14 Statistics, drop a comment below and we will get back to you at the earliest.

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