Question

Match the following data set with their corresponding number of modes.

• A. Unimodal data
• B. Bimodal data
• C. No mode

Answer 1

Let's find the modes of each data set one by one.

a) $4,6,4,8,7,9$

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

$4,4,6,7,8,9$

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

Number	Frequency	Number	Frequency
4	2	8	1
6	1	9	1
7	1

From the frequency table, we find that the number 4 is repeated the most number of times.

Since only one number is repeated the most number of times, the given data set is unimodal data.

(b) $4,6,4,8,6,8$

Similarly, we follow the same process.

Ascending order: $4,4,6,6,8,8$
Frequency Table

Number	Frequency
4	2
6	2
8	2

From the frequency table, we find that all the numbers are repeated equal number of times, i.e., 2.

$\therefore$ This data set has no mode.

(c) $4,6,4,8,6,9$

Acending order: $4,4,6,6,8,9$
Frequency Table

Number	Frequency
4	2
6	2
8	1
9	1

From the frequency table, we find that the numbers 4 and 6 are repeated the most number of times.

Since only two numbers are repeated the most number of times, the given data set is bimodal data.