The image presents a graph showing a skewed distribution, along with three questions asking which labeled point represents the mean, the median, and the mode.

From what I can see:

• The graph is positively skewed (right-skewed), meaning the tail extends to the right. In such distributions:
  • The mode is the highest point (the peak) on the graph.
  • The median is located between the mode and the mean.
  • The mean is typically to the right of the median due to the influence of the skew.

Answering the questions:

1. What letter represents the mean?

   • The mean is the rightmost point, labeled C.

2. Which letter represents the median?

   • The median lies between the mode and the mean, so it is represented by B.

3. Which letter represents the mode?

   • The mode is the highest point of the curve, represented by A.

Would you like further details or explanations on this? Here are some related questions:

Related Questions:

1. How would this change if the distribution were negatively skewed (left-skewed)?
2. Why does the mean get pulled towards the tail in a skewed distribution?
3. What are the key differences between mean, median, and mode in symmetric vs skewed distributions?
4. How can outliers affect the mean compared to the median?
5. In which situations is the median a better measure of central tendency than the mean?

Tip:

In skewed distributions, the median is often used as a better measure of central tendency than the mean, especially when outliers are present.