Find the median and the mode for the following set of numbers.

2, 2, 3, 5, 5, 5, 6, 8, 9

Correct option is A

Given:

2, 2, 3, 5, 5, 5, 6, 8, 9 

Concept Used:

Median:
The median is the middle value when the data is arranged in ascending order. If the number of observations (n) is odd, the median is the middle term.

Mode:
The mode is the number that occurs most frequently in the data set.

Solution:

Median:

Order the numbers: The numbers are already in order: 2, 2, 3, 5, 5, 5, 6, 8, 9.

Since, there are 9 numbers, the middle number is the 5th number, which is 5.

Therefore, the median is 5.

Mode:

The number 5 appears 3 times, which is more than any other number in the set.

Therefore, the mode is 5.

​