draw cumulative frequency curve for the following cumulative frequency distribution
class interval : 0-10 10-20 20-30 30-40 40-50 50-60
cumulative frequency : 50 48 45 32 15 5
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Step-by-step explanation:
We first prepare the cumulative frequency distribution table by less than method as given below:
Marks No. of Students Marks less than Cumulative Frequency
0-10 7 10 7
10-20 10 20 17
20-30 23 30 40
30-40 51 40 91
40-50 6 50 97
50-60 2 60 100
Other than the given class intervals, we assume a class -10-0 before the first class interval 0-10 with zero frequency.
Now, we mark the upper class limits ( including the imagined class) along x-axis on a suitable scale.
Thus, we join the plotted points by a free hand curve to obtain the required ogive as shown Fig 1 In order to obtain the cumulative frequency polygon, we join the plotted points by line segments
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