Draw a less than type ogive curve from the given data-6Whline 15-20 - 9 Whline 20-25 - 12 Whline 25-30 - 8 1Whline 30-35 - 10 whline lend array

The correct option is A Prepare a cumulative frequency table. [ Range amp; Cumulative frequency; Less than 10 ...

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Standard IX

Mathematics

Median of Grouped Frequency Distribution

Draw a less t...

Question

Draw a less than type ogive curve from the given data.

$\begin{matrix} C l a s s & F r e q u e n c y 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

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Solution

The correct option is A

Prepare a cumulative frequency table.

$\begin{matrix} R a n g e & C u m u l a t i v e f r e q u e n c y L e s s t h a n 10 & 3 L e s s t h a n 15 & 3 + 6 = 9 L e s s t h a n 20 & 9 + 9 = 18 L e s s t h a n 25 & 18 + 12 = 30 L e s s t h a n 30 & 30 + 8 = 38 L e s s t h a n 35 & 38 + 10 = 48 \end{matrix}$

The points to be plotted in the graph are (10,3), (15,9), (20,18), (25,30), (30,38), (35,48).

Use suitable scale:-
On X-axis 1 cm = 1 class interval length.
On Y-asix 1 cm = 5 units.

Therefore, option A best depicts the points.

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Draw a less than type ogive curve from the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

Draw a less than type ogive curve from the given data.

$\begin{matrix} C l a s s & F r e q u e n c y 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$