Question:
The median and mode of a frequency distribution are 48:64 and 46:52 respectively. Then its mean is:
The median and mode of a frequency distribution are 48:64 and 46:52 respectively. Then its mean is:
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The mean of a frequency distribution can be calculated using the formula involving mode and median.
Updated On: Oct 27, 2025
- 49.70
- 49
- 50
- none of these
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The Correct Option is A
Solution and Explanation
The median and mode of the distribution are given.
Using the formula for the mean of a frequency distribution:
\[
\text{Mean} = \frac{\text{Mode} + 3 \times \text{Median}}{4}
\]
Substitute the given values:
\[
\text{Mean} = \frac{52 + 3 \times 64}{4} = \frac{52 + 192}{4} = \frac{244}{4} = 49.70.
\]
Thus, the correct answer is \( 49.70 \).
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