Monday, June 27, 2011

HISTOGRAM

A histogram consists of a set of adjacent rectangles whose bases are marked off by class boundaries on the x-axis and whose heights proportional to the frequencies associated with respective classes. The area of each rectangle represents the respective class frequencies.

1. Histogram for equal class intervals.

Example

2. Histogram for unequal class intervals.

(a). Frequency density method

If the class intervals of the distribution are different, then the heights of the bars are proportional to the frequency density.

Frequency density = frequency / class width

In this we have to draw histogram using frequency density instead of frequency


histogram frequency density clss width


image taken from http://passmath.co.uk/gcse-mathematics.html


(b) Height of the rectangle

If the class intervals of the distribution are different, then

height of rectangle=frequency/standard


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