Draw an ogive for each of the following distributions :

(i) $\begin{matrix} M a r k s o b t a i n e d & l e s s t h a n 10 & l e s s t h a n 20 & l e s s t h a n 30 & l e s s t h a n 40 & l e s s t h a n 50 F r e q u e n c y & 8 & 25 & 38 & 50 & 67 \end{matrix}$

(ii) $\begin{matrix} Age in years (less than) & 10 & 20 & 30 & 40 & 50 & 60 & 70 Frequency & 0 & 17 & 32 & 37 & 53 & 58 & 65 \end{matrix}$

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Solution

1-
Steps of construction:

(a) Plot the points (10,8), (20, 25), (30, 38), (40, 50) and (50, 67) on the

graph.

(b) Join them with free hand to obtain an ogive.

(ii)

Steps Of construction:

(a) Plot the points (10, 0), (20, 17), (30, 32), (40, 37), (50, 53), (6

0, 58) and (70, 65) on the graph.

(b) Join them with free hand to obtain an ogive

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Similar questions

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

Q. Using the frequency distribution table given below, draw 'less than ogive'. Then from the ogive, find interquartile range.

\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 2 20 - 30 & 4 30 - 40 & 6 40 - 50 & 8 50 - 60 & 10 \end{matrix}

Q. Following is the distribution of marks of 70 students in a periodical test:

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
Number of students	3	11	28	48	70

Draw a cumulative frequency for the above data.

Find the median of the following data by making a 'less than ogive'.

$\begin{matrix} M a r k s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 N u m b e r o f s t u d e n t s & 5 & 3 & 4 & 3 & 3 & 4 & 7 & 9 & 7 & 8 \end{matrix}$

Using the frequency distribution table given below, draw 'less than ogive'. Then from the ogive, find:

interquartile range
$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 2 20 - 30 & 4 30 - 40 & 6 40 - 50 & 8 50 - 60 & 10 \end{matrix}$

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Draw an ogive for each of the following distributions : (i) Marks obtainedless than 10less than 20less than 30less than 40less than 50Frequency825385067 (ii) Age in years (less than)10203040506070Frequency0173237535865