The following table gives the height of trees-Height No- of trees Less than 7 26 Less than 14 57 Less than 21 92 Less than 28 134 Less than 35 216 Less than 42 287 Less than 49 341 Less than 56 360 Draw -less than- ogive and -more than- ogive-

Consider the following table. nbsp; Height nbsp;(less than) Height class No. of trees Cumulative frequency Suitable ...

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Standard X

Mathematics

Histograms

The following...

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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Similar questions

Q. The following table gives the height of trees:

Height	No. of trees
Less than $7$	$26$
Less than $14$	$57$
Less than $21$	$92$
Less than $28$	$134$
Less than $35$	$216$
Less than $42$	$287$
Less than $49$	$341$
Less than $56$	$360$

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

Q. The following table gives the heights (in metres) of 360 trees:

Height	Number of trees
Less than 7 m Less than 14 m Less than 21 m Less than 28 m Less than 35 m Less than 42 m Less than 49 m Less than 56 m	25 45 95 140 235 275 320 360

From the above data, draw an ogive and find the median.

For the following distribution draw a 'less than type' ogive and from the curve find the median.

Marks obtained	Less than 20	Less than 30	Less than 40	Less than 50	Less than 60	Less than 70	Less than 80	Less than 90	Less than 100
Number of students	2	7	17	40	60	82	85	90	100

Question 2
During the medical check-up of 35 students of a class, their weights were recorded as follows:
$\begin{matrix} W e i g h t (i n k g) & N u m b e r o f s t u d e n t s L e s s t h a n 38 & 0 L e s s t h a n 40 & 3 L e s s t h a n 42 & 5 L e s s t h a n 44 & 9 L e s s t h a n 46 & 14 L e s s t h a n 48 & 28 L e s s t h a n 50 & 32 L e s s t h a n 52 & 35 \end{matrix}$

Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph verify the result by using the formula.

Q. During the medical check up of 35 students of a class, their weights were recorded as follows:

Weight (in kg)	Number of students
Less than 38 Less than 40 Less than 42 Less than 44 Less than 46 Less than 48 Less than 50 Less than 52	0 3 5 9 14 28 32 35

Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula.

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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

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)

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)

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.

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.