Correct option is B
Given :
Mean = Total sum of values ÷ Number of values
Median = Middle value when data is sorted
Mode = Most frequently occurring value
Step-by-Step Solution:
Step 1: Arrange the data in ascending order
60, 60, 61, 61, 61, 61, 62, 63, 65, 65, 65, 65, 65, 85, 86
Step 2: Calculate the Mean
Add all values:
60 + 60 + 61 + 61 + 61 + 61 + 62 + 63 + 65 + 65 + 65 + 65 + 65 + 85 + 86 = 985
Mean = 985 ÷ 15 = 65.66
Step 3: Find the Median
Since there are 15 values (odd), the median is the 8th value in the sorted list.
8th value = 63 → Median = 63
Step 4: Find the Mode
Most frequently occurring value = 65 (appears 5 times)
So, Mode = 65
Comparison of Results:
Mean = 65.66
Median = 63
Mode = 65
So the correct order is:
Median < Mode < Mean
Final Answer: (b) Median < Mode < Mean
