Question

Find the mode(s) of the following data set. Stem Leaf

$1$ $2$ $4$	$9,0,1,9$ $0,0,3$ $1,5,6$

$\text{Key}:1|1$ means $11$

• A. 9
• B. 0
• C. 19
• D. 20

Answer 1

Answer: (C), (D)

20

Arrange the given stem and leaf plot in ascending order. Stem Leaf

$1$ $2$ $4$	$0,1,9,9$ $0,0,3$ $1,5,6$

Given $\text{key}:1|1$ means $11$

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

For the given plot, the data points are: $\{10,11,19,19,20,20,23,41,45,46\}$

We know mode is/are the most popular data point(s).

$19$ and $20$ appear twice.
Hence, $19$ and $20$ are the modes of the given data set.

It is a bimodal data set.