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 3
127 - 135 5
136 - 144 9
145 - 153 12
154 - 162 5
163 - 171 4
172 - 180 2
Is there any other suitable graphical representation for the same data?

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Solution

The given data is in discontinuous form.
Now, $\frac{1}{2} = 0.5$

Add $0.5$ to upper limit and subtract it from lower class limit.

Now the table looks like this
We can say that maximum number of leaves have their length between the range of $144.5 - 153.5$ only.This graph can also be drawn using frequency polygon.

Other suitable graphical representation of this data is frequency polygon.

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Similar questions

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

Lengths (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

Draw a histogram to represent the given data.

Length (in mm)	No. of leaves
118-126	3
127-135	5
136-144	9
145-153	12
154-162	5
163-171	4
172-180	2

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

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:
(i) Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
(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 m m

long? Why?

Q. 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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