Question

10 Use graph paper for this question.
A survey regarding height (in cm) of 60 boys belonging to class 10 of a school was
conducted. The following data was recorded:
Height (in cm) 135 - 140 140 - 145 145 - 150 150 - 155 155 - 160 160 - 165 165 - 170
4
8
No. of boys
20
14
7
6.
1
1
Taking 2 cm = height of 10 cm on one axis and 2 cm = 10 boys along the other axis,
draw an ogive of the above distribution. Use the graph to estimate the following:
y median
(ii) lower quartile
(iii) if above 158 is considered as the tall boy of the class, find the number of boys in
the class who are tall.
(2018)​

Answer 1

Given : A survey regarding height (in cm) of 60 boys belonging to class 10 of a school

To Find : draw an ogive

find Median

Solution:

Height (in cm)   f         Less than   More than

135 - 140             4           4                 60

140 - 145            8           12                 56

145 - 150          20         32                 48

150 - 155         14           46                  28

155 - 160           7           53                  14

160 - 165           6          59                  7

165 - 170           1           60                   1

Median = 149.5

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.

More  than ogive

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

Learn More:

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Answer 2

Given : A survey regarding height (in cm) of 60 boys belonging to class 10 of a school

To Find : draw an ogive

find Median

Solution:

Height (in cm)   f         Less than   More than

135 - 140             4           4                 60

140 - 145            8           12                 56

145 - 150          20         32                 48

150 - 155         14           46                  28

155 - 160           7           53                  14

160 - 165           6          59                  7

165 - 170           1           60                   1

Median = 149.5

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.

More  than ogive

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

Also Prefer to the attachment