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Answer :
Final answer:
In a negatively skewed or left-skewed distribution, the mean is less than the median. So, for a distribution with a mean of 122, the median would be a value larger than the mean. Therefore, the median could be C. 126.
Explanation:
In the field of statistics, particularly when discussing unimodal distributions, a negatively skewed or left-skewed distribution is one where the tail on the left side of the distribution is longer or fatter. The mean is less than the median, which is often less than the mode. This means that data on the left side (low end) are more spread out than data on the right side (high end).
In this particular case, you're asked about a distribution that is negatively skewed and has a mean of 122. Given the nature of a left-skewed distribution, the median would be a value larger than the mean. As such, we can find the potential median value amongst the provided options. These are: A. 122, B. 114, C. 126, and D. 118.
Based on our understanding of left-skewed distributions, the only appropriate choice must be C. 126 because this value is larger than the mean (122).
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