Question

What is the mode of the following data set?

$13$

$17$

$11$

$15$

$19$

• A. $13$
• B. $17$
• C. $19$
• D. No mode

Answer 1

The correct option is D No mode

First, we arrange the numbers of the given data set in ascending order.

$11$

$13$

$15$

$17$

$19$

Next, we make a frequency table.
Frequency Table Number Frequency

$11$	$1$
$13$	$1$
$15$	$1$
$17$	$1$
$19$	$1$

From the above frequency table, it is clear that all the numbers of the given data set appear the same number of time, i.e. once.

$\underset{–}{\text{Note:}}$ If every value in a data set occurs the same number of time, then the data set has $\text{no mode}$.

Hence, the given data set $\{13,17,11,15,19\}$ has no mode, i.e., option (d.) is the correct one.