### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Pictorial Diagram or Pictogram

Pictorial diagrams are the most popular and most attractive though not very accurate method of representing statistical data.

In pictograms, the magnitude of the particular phenomenon under study is presented through appropriate pictures. The number of pictures drawn or the size of the pictures being proportional to the values of the different magnitudes to be present. It is also called a Pictogramme, Pictograph or simply Picto etc.

Example -:

Given 4 families have a number of vehicles.

 Family Number of Vehicles A 3 B 2 C 5 D 4

Pictograph

Pie-Chart -:

Subdivision of a total numerical figure representing a particular quantitative phenomenon in the different segments can be well represented with the help of a pie chart. The total magnitude is made equivalent to the angle at the center of the circle i.e. and each component is represented by an angle whose magnitude is a fraction of  Pie-chart also called Angular diagram.

Example -:

Number of crops with their magnitude

 Wheat Barley Oats Total    Frequency Curve -:

A frequency curve is a smooth freehand curve drawn through the vertices of a frequency polygon.

Example -:

Frequency Polygon -:

For an ungrouped or discrete frequency distribution, the frequency polygon is obtained by plotting points with abscissa as the variant values and the ordinate as the corresponding frequencies and joining the plotting points by means and straight line.

Example -:

Cumulative Frequency Curve -:

A cumulative frequency distribution is obtained from original frequency distributions by adding the frequencies of the values of the variable or classes successively. The frequency which so obtained is called Cumulative Frequency.

Example -:

 Class Frequency C.F A 20 20 B 15 35 C 30 65 D 25 90 Total 90
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