Question

The following table gives production yield per hectare of wheat of 100 farms of a village:
Number of farms: 50-55 55-60 60-65 65-70 70-75 75-80 in kg per hectare
Number of farms: 2 8 12 24 38 16
Draw ‘less than’ ogive and ‘more than’ ogive.

Answer 1

less than ogive and more than ogive are as follows

•Number of farms: 50-55 55-60 60-

65 65-70 70-75 75-80

•Number of farms: 2 8 12 24 38 16

•Less than : 55 60 65 70 75 80

•less than cumulative frequency:

2 10 22 46 84 100

• More than : 50 55 60 65 70 75

• More than cumulative frequency:

100 98 90 78 54 16

Answer 2

Drawn ‘less than’ ogive and ‘more than’ ogive.

Step-by-step explanation:

Number of farms:    f                     Less than      More than

50-55                       2                       2                  100

55-60                       8                       10                 98

60-65                       12                      22                90

65-70                       24                     46                78

70-75                       38                      84                54

75-80                       16                      100               16

Median = 70 + 5*(50 - 46)/38

= 70 + 20/38

= 70.5

Less than ogive

The points with the upper limits of the class are plotted on x axis  and the corresponding less than cumulative frequencies on y axis.

The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive

More than ogive

The points with the Lower limits of the class are plotted on x axis  and the corresponding more than cumulative frequencies on y axis.

The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive

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