For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?Group of answer choices20 to 29.5greater than 30less than 2030
Question
For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?
Group of answer choices
- 20 to 29.5
- greater than 30
- less than 20
- 30
Solution
To determine the value of the mean for a perfectly symmetrical distribution with a median of 30, follow these steps:
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Understand the properties of a symmetrical distribution: In a perfectly symmetrical distribution, the mean, median, and mode are all equal. This is because the data is evenly distributed around the center point.
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Given information: The median of the distribution is 30.
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Apply the property of symmetry: Since the distribution is perfectly symmetrical, the mean must be equal to the median.
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Conclusion: Therefore, the mean is also 30.
The correct answer is: 30.
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