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CBSE Guess > eBooks > Class X > Maths Part II by Mr. M. P. Keshari

Chapter 15: Statistics

Statistics

Statistics is the science which studies the methods and techniques used in the collection, presentation and analysis of data and draws. conclusion on the basis of the same. The statistics is thus, used in two senses:

1. In the sense of data and
2. In the sence of science.

In this portion we shall learn the pictorial representation of data such as Pie charts, the mean of grouped data and primary idea of probability.

Pictorial Representation of data:

Some times different. Charts are drawn to interprete any data. They are:

(i) Histogram
(ii) Frequency polygon
(iii) Frequency curve
(iv) Bar diagram
(v) Line graph
(vi) Pictograph and
(vii) Pie charts

We shall study on the pie charts in this section and illustrate with example:

Example 1. The number of students in a hostel speaking different languages are given below. Represent the data as a pie chart.

 Language Bengali Hindi English Marathi Tamil Number of students 40 12 4 9 7

Solution:- The following table gives the share of each language as component of 3600.

 Language Number of students Share as a component of 3600 Bengali 40 40 X 3600/72 = 2000 Hindi 12 12 X 3600/72 = 600 English 4 4 X 3600/72 = 200 Marathi 9 9 X 3600/72 = 450 Tamil 7 7 X 3600/72 = 350 Total 72 3600

Now we shall draw a circle of any convenient radius. First of all we shall fixed a sector of central angle 2000 depending on the share of Bengali language. Similarly, sectors of other languages are marked.

Maths by Mr. M. P. Keshari