Answer:

True

Explanation:

Mean, median, and mode are measures of central tendency used in statistics. These measures are used to describe the distribution of a set of data. In a moderately asymmetric distribution, the mean can be found out from the median and mode. This can be explained as follows:

What is a moderately asymmetric distribution?

A moderately asymmetric distribution is a distribution that is not perfectly symmetrical and has a slight skewness. This means that the data is not evenly distributed around the mean, but is instead slightly skewed to one side.

How to find the mean from median and mode?

To find the mean from median and mode, we need to use the following formula:

Mean = 3 * Median - 2 * Mode

Where,
Median: The middle value in the dataset
Mode: The value that occurs most frequently in the dataset

This formula works well for moderately asymmetric distributions because the mode is closer to the peak of the distribution than the mean. By using the mode, we can better estimate the location of the peak of the distribution and adjust the mean accordingly.

Example:

Let's say we have the following dataset:

5, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20

The median of this dataset is 12, and the mode is 8. Using the formula, we can find the mean as follows:

Mean = 3 * 12 - 2 * 8
Mean = 36 - 16
Mean = 20

Therefore, the mean of this dataset is 20.

Conclusion:

In conclusion, we can say that in a moderately asymmetric distribution, the mean can be found out from the median and mode using the formula given above.