for the graphs below, for which probability distribution is the value of the median greater than the value…

for the graphs below, for which probability distribution is the value of the median greater than the value of the mean? theoretical probability distributions negatively skewed normal (no skew) positively skewed frequency negativity direction perfectly symmetrical distribution positive direction negatively skewed normal, symmetrical distribution positively skewed distribution none of the above
Answer
Answer:
A. Negatively skewed
Explanation:
Step1: Recall mean - median relationship
In a negatively skewed distribution, the tail is on the left - hand side. The extreme low values in the left - tail pull the mean towards the left, making it less than the median.
Step2: Analyze normal distribution
In a normal (symmetrical) distribution, the mean, median, and mode are equal. So, the median is not greater than the mean.
Step3: Analyze positively skewed distribution
In a positively skewed distribution, the tail is on the right - hand side. The extreme high values in the right - tail pull the mean towards the right, making the mean greater than the median.