In the set of data given below, find the difference between the median and mode:

Solution:

Given data:
2.1, 5, 6, 7, 8, 9.3, 11, 15, 17, 19.21, 27, 31, 31, 33, 16.5, 14, 10

Step 1: Arrange in ascending order

2.1, 5, 6, 7, 8, 9.3, 10, 11, 14, 15, 16.5, 17, 19.21, 27, 31, 31, 33

Total numbers = 17

Step 2: Median

Median position = $ \frac{17+1}{2} = 9^{th}$ term

Median = 14

Step 3: Mode

Most frequent value = 31

Step 4: Difference

$31 - 14 = 17$

✅ Final Answer: 17