Question 4 iiThe length of 40 leaves of a plant are measured correct to one millimetre- and the obtained data is represented in the following table- Length in mm Number of leaves- 118 -126 3- 127 -135 5- 136-144 9- 145 -153 12- 154 -162 5- 163 -171 4- 172 -180 2- -ii Is there any other suitable graphical representation for the same data-

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Standard IX

Mathematics

Frequency

Question 4 ii...

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Question 4 (ii)
The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:
$\begin{matrix} Length (in mm) & Number of leaves 118 - 126 & 3 127 - 135 & 5 136 - 144 & 9 145 - 153 & 12 154 - 162 & 5 163 - 171 & 4 172 - 180 & 2 \end{matrix}$
(ii) Is there any other suitable graphical representation for the same data?

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Solution

(ii) Other suitable graphical representation of this data is frequency polygon.

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Question 4 (i)
The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:
$\begin{matrix} Length(in mm) & Number of leaves 118 - 126 & 3 127 - 135 & 5 136 - 144 & 9 145 - 153 & 12 154 - 162 & 5 163 - 171 & 4 172 - 180 & 2 \end{matrix}$
(i) Draw a histogram to represent the given data.

Q. The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:

\begin{matrix} Length(in mm) & Number of leaves 118 - 126 & 3 127 - 135 & 5 136 - 144 & 9 145 - 153 & 12 154 - 162 & 5 163 - 171 & 4 172 - 180 & 2 \end{matrix}

Convert given table into a continuous group frequency distribution.

Question 4 (iii)
The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:
$\begin{matrix} Length (in mm) & Number of leaves 118 - 126 & 3 127 - 135 & 5 136 - 144 & 9 145 - 153 & 12 154 - 162 & 5 163 - 171 & 4 172 - 180 & 2 \end{matrix}$
(iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?

Question 4
The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:

$\begin{matrix} L e n g t h (i n m m) & N u m b e r o f l e a v e s f_{i} 118 - 126 & 3 127 - 135 & 5 136 - 144 & 9 145 - 153 & 12 154 - 162 & 5 163 - 171 & 4 172 - 180 & 2 \end{matrix}$

Find the median length of the leaves.

Question 4 (ii)
The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:
$\begin{matrix} Length (in mm) & Number of leaves 118 - 126 & 3 127 - 135 & 5 136 - 144 & 9 145 - 153 & 12 154 - 162 & 5 163 - 171 & 4 172 - 180 & 2 \end{matrix}$
(ii) Is there any other suitable graphical representation for the same data?

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Standard IX Mathematics

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