Question

Heights (cm) of various herbs in a garden are depicted in the following plot:
Stem Leaf

$0$ $1$ $2$	$9,0,1,9$ $6,3,6$ $1,5,0$

$\text{Key}:1|6$ means $16$
Determine the median height of the herbs.

• A. 13 cm
• B. 16 cm
• C. (a) and (b) above.
• D. 14.5 cm

Answer 1

The correct option is D 14.5 cm

Given $\text{key}:1|6$ means $16$

$\therefore$ The data points are obtained by merging the stem number with corresponding leaf numbers.
Example:


To find the median, arrange the given stem and leaf plot in ascending order.

Also, each row corresponds to the same stem number.
$\therefore$ While arranging the digits, we compare the digits in the same row.

The arranged data is: Stem Leaf

$0$ $1$ $2$	$0,1,9,9$ $3,6,6$ $0,1,5$

Data points: $0,1,9,9,13,16,16,20,21$ and $25.$
It is a even numbered data set.
$\therefore$ Median = Average of $5^{th}$ and $6^{th}$ data points.
$\Rightarrow$ Median $=\frac{13+16}{2}=\frac{29}{2}=14.5\text{cm}$