Question

The following data set is data.

$99$	$93$	$39$	$43$	$93$
$39$	$66$	$43$	$33$	$44$

• A. bimodal
• B. trimodal
• C. unimodal

Answer 1

The correct option is B trimodal

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

$33$	$39$	$39$	$43$	$43$
$44$	$66$	$93$	$93$	$99$

Next, we make a frequency table of the given data set.
Frequency Table

Number	Frequency	Number	Frequency
$33$	$1$	$66$	$1$
$\underset{–}{39}$	$\underset{–}{2}$	$\underset{–}{93}$	$\underset{–}{2}$
$\underset{–}{43}$	$\underset{–}{2}$	$99$	$1$
$44$	$1$

From the above frequency table, we find that the numbers $39$, $43$ and $93$ are repeated the most number times, i.e., $2$ times each in the given data set.

Hence, the modes of the given data set are $39$, $43$ and $93$.

$\underset{–}{\text{Note:}}$ A data set with three modes is called $\text{trimodal data}$.

As the given data set has three modes ($39$, $43$ and $93$), it is a trimodal data set.