The mode and median of a data are 46.2
The mode and median of a data are 46.2 and 40, respectively. What is the mean of the data? (Use empirical formula.)
किसी आँकड़ों का बहुलक और माध्यिका क्रमशः 46.2 और 40 हैं। मूलानुपाती सूत्र का उपयोग करते हुए उन आँकड़ों का माध्य ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
36.9
Empirical relation:
$ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} $
Step 1: Substitute the given values
$ 46.2 = 3(40) - 2 \times \text{Mean} $
Step 2: Simplify
$ 46.2 = 120 - 2\text{Mean} $
$ 2\text{Mean} = 120 - 46.2 $
$ 2\text{Mean} = 73.8 $
$ \text{Mean} = \frac{73.8}{2} = 36.9 $
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