Statistics Class 10 Maths Formulas

The List of Important Formulas for Class 10 Statistics is provided on this page. We have everything covered right from basic to advanced concepts in Statistics. Make the most out of the Maths Formulas for Class 10 prepared by subject experts and take your preparation to the next level. Access the Formula Sheet of Statistics Class 10 covering numerous concepts and use them to solve your Problems effortlessly.

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]

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