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Question

The following table gives the height of trees:
Height No. of trees
Less than 7
Less than 14
Less than 21
Less than 28
Less than 35
Less than 42
Less than 49
Less than 56
26
57
92
134
216
287
341
360

Draw 'less than' ogive and 'more than' ogive.

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Solution

Consider the following table.
Height (less than) Height-class No. of trees Cumulative frequency Suitable points
7 0-7 26 26 (7, 26)
14 7-14 31 57 (14, 57)
21 14-21 35 92 (21, 92)
28 21-28 42 134 (28, 134)
35 28-35 82 216 (35, 216)
42 35-42 71 287 (42, 287)
49 42-49 54 341 (49, 341)
56 49-56 19 360 (56, 360)

Now, draw the less than ogive using suitable points.

Now, prepare the cumulative frequency table for more than series.

Height No. of trees Height (more than) Cumulative frequency Suitable points
0-7 26 0 360 (0, 360)
7-14 31 7 334 (7, 334)
14-21 35 14 303 (14, 303)
21-28 42 21 268 (21, 268)
28-35 82 28 226 (28, 226)
35-42 71 35 144 (35, 144)
42-49 54 42 73 (42, 73)
49-56 19 49 54 (49, 54)

Now, draw the more than ogive using suitable points.


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