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Presentation of Data
How does the procedure of drawing a histogram differ when class intervals are unequal in comparison to equal class intervals in a frequency table?
Procedure of drawing a histogram differ when class-intervals are unequal in comparison to equal class-intervals in a frequency table. In the case of equal class-intervals, no adjustment is made. In this case, the width of the rectangles would be of equal width, whereas the length of the rectangles would be different in proportion to the frequencies of the class-intervals.
In case of unequal class-intervals, frequencies of unequal class-intervals are adjusted. For adjustment, following steps are taken into account:
1. We first locate the lowest class-interval. We make no adjustment in this class-interval.
2. We adjust the frequencies of all other classes with the lowest class-size using the following formula:
Adjusted frequency
3. The histogram is made on the basis of adjusted frequencies and not the frequencies given originally.
4. We below given the adjusted frequency for the further clarification. Class-Interval f Adjusted frequency
It may be pointed out that the width of the rectangles would be different
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Ogives can be helpful in locating graphically the:
Data represented through arithmetic line graph help in understanding:
Width of bars in a bar diagram need not be equal.
Width of rectangles in a histogram should essentially be equal.
Histogram can only be formed with continuous classification of data.
Histogram and column diagram are the same method of presentaton of data.
Mode of a frequency distribution can be known graphically with the help of histogram.
Median of a frequency distribution cannot be known from the ogives.
What kind of diagrams are more effective in representing the following:
(i) Monthly rainfall in a year.
(ii) Composition of the population of Delhi by religion.
(iii) Components of cost in a factory.
Suppose you want to emphasise the increase in the share of urban non-workers and lower level of urbanisation in India as shown in Example 4.2. How would you do it in the tabular form?
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