OP Malhotra Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19. We Provide Step by Step Answer of Exe-19 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website CISCE for detail information about ICSE Board Class-10.
OP Malhotra Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
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Exercise-19
OP Malhotra Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
Frequency polygon :
Drawing a Frequency polygon using a histogram
- Draw the histogram for the given frequency distribution
- Take the mid-points of the upper horizontal side of each rectangle
- Take the mid-points of two imaginary class intervals, one on either side of the histogram
- Join these mid-points by line segments one after the other

- Make an exclusive frequency distribution table
- Find the class marks of all the class intervals
- Mark the point (x1,y1)(x1,y1) on the graph, where x1 denotes the class mark and y1 denotes the corresponding frequency
- Join all the points plotted above with straight line segments
- Join the first point and the last point to the points representing class marks of the class intervals before the first class interval and after the last class interval of the given frequency distribution

Steps for construction:
- Construct a cumulative frequency table.
- Mark the actual class limits along x-axis and the cumulative frequencies of the respective classes along y-axis by using suitable scale.
- Plot the points such that the x coordinate is the upper limit of the class interval and the y-coordinate is the corresponding cumulative frequency
- Join the plotted points by a free hand curve.
Less than Ogive :
- Less than type “ogive” curve is obtained by plotting the cumulative frequency on the Y-axis and the upper limits of the class intervals on the X-axis
More than Ogive :
- More than type “ogive” is obtained by plotting the cumulative frequency on the Y-axis and the lower limits of the class intervals on the X-axis
Exercise-19(a)
Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
Exercise-19(b)
OP Malhotra Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
Exercise-19(c)
Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
Exercise-19(d)
OP Malhotra Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
Self Evaluation and Revision
Histogram and Ogive Class-10 S.Chand ICSE Maths Ch-19
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