Presentation of Data
How is histogram constructed when class-intervals are unequal?
For constructing histogram of unequal class-intervals, first we note a class of the smallest intervals. Other classes are noted in the increasing order of their intervals. If the size of one class-interval is twice the smallest size in the series, frequency of that class is divided by two. Suppose the class with the smallest interval is 5 – 10 and the class with the largest interval is 10 – 20, the frequency of which is 12. Here the class interval of the bigger class is 10 which is twice as much as the size of the class-interval of the smallest class i.e. 5. The bigger class interval is divided into two parts 10 – 15 and 15 – 20 and accordingly the frequency of the bigger class, 12 would be divided by 2 i.e. 12+ 6. In this way there will be following adjustment.
Class-interval |
Frequency |
10 – 15 |
6 |
15 – 20 |
6 |
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Data represented through a histogram can help in finding graphically the:
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.
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