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- array - c - c - WheLength in mm-Number of leaveslllhline 118-12683 1127-135 - 5 136-144-911145-153 - 1211154-162 - 5 1163-171 - 4 1172-180 -2 11 hlinelendarrayii Is there any other suitable graphical representation for the same data-

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Standard IX

Mathematics

Frequency Polygon

Question 4 ii...

Question

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

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 leaves

118 − 126

127 − 135

136 − 144

145 − 153

154 − 162

163 − 171

172 − 180

(i) Draw a histogram to represent the given data.

(ii) Is there any other suitable graphical representation for the same data?

(iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?

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