Notes For Class 10 STATISTICS Math Download PDF

hapter 14 : STATISTICS

The three measures of central tendency are :

i. Mean

ii. Median

iii. Mode

â€¢ Mean Of grouped frequency distribution can be calculated by the following methods.

Where Xi is the class mark of the ith class interval and fi frequency of that class

Where a = assumed mean

And d_{i} = X_{i }- a

Where a = assumed mean

h = class size

And u_{i }= (X_{i} â€“ a)/h

â€¢ Median of a grouped frequency distribution can be calculated by

Where

l = lower limit of median class

n = number of observations

cf = cumulative frequency of class preceding the median class

f = frequency of median class

h = class size of the median class.

â€¢ Mode of grouped data can be calculated by the following formula.

Where

l = lower limit of modal class

h = size of class interval

f1 = Frequency of the modal class

fo = frequency of class preceding the modal class

f2= frequency of class succeeding the modal class

â€¢Empirical relationship between the three measures of central tendency.

3 Median = Mode + 2 Mean

Or, Mode = 3 Median â€“ 2 Mean

â€¢ Ogive

Ogive is the graphical representation of the cumulative frequency distribution. It is of two types:

(i) Less than type ogive.

(ii) More than type ogive

â€¢ Median by graphical method

The x-coordinated of the point of intersection of â€˜less than ogiveâ€™ and â€˜more than ogiveâ€™ gives the

median.

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- Chapter 7 : Coordinate Geometry
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 6 Lines and Angles
- hapter 14 : STATISTICS
- Chapter 6 : Triangles
- Chapter 8 : Introduction to trigonometry
- Chapter 4: Quadratic Equations
- Chapter 5 : Arithmetic Progressions
- Chapter 9 : Some Applications of Trigonometry
- Chapter 10 : Circles
- Chapter 11 : Constructions
- Chapter 12 : Area Related to Circles
- Chapter 13 : Surface Areas and Volumes
- Chapter 15 : Probability

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