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State if the following is true or false.

The following data into a more than type distribution can be represented as below graph.

C.I.
50-55
55-60
60-65
65-70
70-75
75-80
Frequency
2
8
12
24
38
16

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True

False

answer is A.

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Detailed Solution

Given table is,

C.I.	50-55	55-60	60-65	65-70	70-75	75-80
Frequency	2	8	12	24	38	16

Consider the table,

Class Interval	Frequency	Cumulative Frequency
50-55	2	More than 50	100
55-60	8	More than 55	98
60-65	12	More than 60	90
65-70	24	More than 65	78
70-75	38	More than 70	54
75-80	16	More than 75	16

To draw the more than type ogive, we plot the lower limits on the x-axis and the corresponding cumulative frequencies on the y-axis i.e.

50, 100, 55, 98

(60, 90) (65, 78), (70, 54) (75, 16)

on the graph paper and join them by freehand to obtain a smooth curve, which is required more than type ogive.
Question Image

The above graph is the required ogive.
Hence, it is true that the given data can be represented as the above graph..
Hence, option 1 is correct.

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