Find the mode of the data 2, 2, 3, 5, 15, 15, 15, 20, 21, 23, 25, 15, 23, 25

Correct option is D

Given:

The data set is: 2, 2, 3, 5, 15, 15, 15, 20, 21, 23, 25, 15, 23, 25.

Concept Used:

The mode of a data set is the value that appears most frequently. If multiple values have the same highest frequency, the data is multimodal, and all such values are modes.

Solution:

Step 1: Count the frequency of each number:
2 appears 2 times
3 appears 1 time
5 appears 1 time
15 appears 4 times
20 appears 1 time
21 appears 1 time
23 appears 2 times
25 appears 2 times.
Identify the number(s) with the highest frequency.
The number 15 appears 4 times, which is the highest frequency.

Thus, the mode of the data is 15.