In the set of data given below, find the difference between the median and mode:
In the set of data given below, find the difference between the median and mode:
नीचे दिए गए आंकड़ों के समुच्चय में, माध्यिका और बहुलक का अंतर ज्ञात कीजिए:
{2.1, 5, 6, 7, 8, 9.3, 11, 15, 17, 19.21, 27, 31, 31, 33, 16.5, 14, 10}
Detailed Solution & Logic
Correct Answer:
17
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
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