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Answer :
Sure! Here's a detailed, step-by-step solution to the question:
If the mean of a symmetric distribution is 170, which of these values could be the median of the distribution?
A. 150
B. 210
C. 190
1. Understanding the Symmetric Distribution:
- In a symmetric distribution, the mean, median, and mode are the same. This is a property of symmetric distributions, which means that the values are evenly distributed around the center.
2. Given Mean:
- The mean of the distribution is given as 170.
3. Identifying the Median:
- Since the distribution is symmetric, the median must also be 170 (because in a symmetric distribution, the mean equals the median).
4. Comparing with Given Options:
- We compare the median (170) with the provided options:
- A. 150
- B. 210
- C. 190
5. Conclusion:
- None of the provided options (150, 210, 190) match the median value of 170.
Therefore, looking at the given choices, none of them could be the median of the distribution since the correct median value 170 is not listed as an option.
If the mean of a symmetric distribution is 170, which of these values could be the median of the distribution?
A. 150
B. 210
C. 190
1. Understanding the Symmetric Distribution:
- In a symmetric distribution, the mean, median, and mode are the same. This is a property of symmetric distributions, which means that the values are evenly distributed around the center.
2. Given Mean:
- The mean of the distribution is given as 170.
3. Identifying the Median:
- Since the distribution is symmetric, the median must also be 170 (because in a symmetric distribution, the mean equals the median).
4. Comparing with Given Options:
- We compare the median (170) with the provided options:
- A. 150
- B. 210
- C. 190
5. Conclusion:
- None of the provided options (150, 210, 190) match the median value of 170.
Therefore, looking at the given choices, none of them could be the median of the distribution since the correct median value 170 is not listed as an option.
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