​For the data set 1, 2, 3, 5, 2, 3, 4, 6, 6, 8, 3, 4, 5 which of the following options is INCORRECT?​

Correct option is D

Given :

1, 2, 3, 5, 2, 3, 4, 6, 6, 8, 3, 4, 5

We need to find the Mean, Median, and Mode and identify the incorrect option.

Formula Used:

$$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$$

​Median is the middle value when the data is arranged in ascending order.

Mode is the number that appears most frequently.

Solution:

Mode is the number that appears most frequently.

Frequency count:

1 → 1 time

2 → 2 times

3 → 3 times (Most frequent)

4 → 2 times

5 → 2 times

6 → 2 times

8 → 1 time

Mode = 3

Median is the middle value when the data is arranged in ascending order.

Sorted data:

1,2,2,3,3,3,4,4,5,5,6,6,8

Since there are 13 values (odd count), the median is the 7th value:

Median = 4

Mean is given by:

​$$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$$​​

=$$\frac{1 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 5 + 5 + 6 + 6 + 8}{13}$$​​

=$$\frac{52}{13} = 4$$​​

Mean = 4

Compare with Given Options

Option (D) is right.