The mode of the observations 3, 6, 5, 7, 8, 4, 3, 3, 2, 5, 3, 6, 4, 8 and 5 is:

Correct option is D

Given:

The observations are: 3, 6, 5, 7, 8, 4, 3, 3, 2, 5, 3, 6, 4, 8, 5

Formula Used:

Mode is the value that appears most frequently in a data set.

Arrange the data in ascending order and count the frequency of each value.

The number with the highest frequency is the mode.

Solution:

Arrange the data in ascending order:

2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8

Count the frequency of each value:

- 2 appears 1 time

- 3 appears 5 times

- 4 appears 2 times

- 5 appears 3 times

- 6 appears 2 times

- 7 appears 1 time

- 8 appears 2 times

The mode is the number that appears most frequently, which is 3, appearing 5 times.

Hence, the mode of the given observations is 3.