College

Question 1 of 25

If the mean of a negatively skewed distribution is 122, which of these values could be the median of the distribution?

A. 122
B. 114
C. 118
D. 126

Answer :

Final answer:

The median of a negatively skewed distribution with a mean of 122 is likely to be less than 122.


Explanation:

For a negatively skewed distribution, the median will be less than the mean. So, the value that could be the median is option B. 114.


Learn more about Negatively skewed distribution here:

https://brainly.com/question/12599119


Final answer:

In a negatively skewed distribution, the median is higher than the mean. Since the mean is 122, the median should be higher, making 126 (option D) a possible value for the median.

Explanation:

In a negatively skewed distribution, the mean is less than the median. Given that the mean is 122, and knowing the nature of negative skewness, the median of the distribution would likely be higher than the mean. The only value given that is higher than the mean of 122 is 126 (option D). Thus, D. 126 could be the median of the distribution.

Negative skewness indicates that the tail of the distribution is skewed towards the left. This means that the majority of data points are located to the right of the mean, thus elevating the median above the mean. Hence, the answer to the given question is D. 126.