Question

Mode of the data 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15
A) 14
B) 15
C) 16
D) 17

Answer 1

Hint: From the question it can be interpreted that we need to find the mode of the ungrouped data. In general mode is the number that appears most frequently in a set of data or else it can also be said that for a grouped data the observation with maximum frequency is called the mode.

Complete step by step answer:
To find the mode of the given ungrouped data first we need to find the frequency of each data value which means the number of times it is appearing in the given ungrouped set.

Data value	Frequency
15	5
14	4
19	2
20	1
16	1
18	1
17	1

From the above table we can interpret that the data value 15 appears five times, 14 appears four times, 19 appears two times, 20, 16, 18 and 17 appear once.
Arranging the frequencies in an descending order will make it easy to find the maximum frequency
The decreasing order would be : 5 > 4 > 2 > 1
Maximum frequency is 5 and it is for the data value 15.
The data value 5 appears the maximum number of times in the given ungrouped data.
Therefore the mode of the given ungrouped data is 15.

So, the correct answer is “Option B”.

Note: Firstly, the given data should be decided whether it is grouped or ungrouped data. A given data can consist of more than one mode. The data distribution with one mode is called unimodal whereas the distribution with more than one mode values is called multimodal.