The length of $40$ leaves of a plant are measured correct to one millimeter, 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.

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Solution

(i) It can be observed that the length of leaves is represented in a discontinuous class interval having a difference of $1$ in between them. Therefore, $\frac{1}{2} = 0.5$ has to be added to each upper class limit and also have to subtract $0.5$ from the lower class limits so as to make the class intervals continuous.
$\begin{matrix} Length (in mm) & Number of leaves 117.5 - 126.5 & 3 126.5 - 135.5 & 5 135.5 - 144.5 & 9 144.5 - 153.5 & 12 153.5 - 162.5 & 5 162.5 - 171.5 & 4 171.5 - 180.5 & 2 \end{matrix}$
Taking the length of leaves on $x$ -axis and the number of leaves on $y$ -axis, the Histogram of this information can be drawn where $1$ unit on $y$ -axis represents $1$ leaf.

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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?

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?

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.

Q. The lengths of

40

leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table:

Length (in mm)	Number of leaves
$118 - 126$ $127 - 135$ $136 - 144$ $145 - 153$ $154 - 162$ $163 - 171$ $172 - 180$	$3$ $5$ $9$ $12$ $5$ $4$ $2$

Find the median length of the leaves.

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.

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The length of 40 leaves of a plant are measured correct to one millimeter, and the obtained data is represented in the following table: Length(in mm)Number of leaves118−1263127−1355136−1449145−15312154−1625163−1714172−1802 (i) Draw a histogram to represent the given data.