Oh, dude, it's like when you have a group of numbers and the mode, which is the most common one, is 100, but the mean, which is the average, is lower than the median, which is like the middle number when they're all lined up. So basically, it's just a funky little math situation where the numbers are playing musical chairs and the mean ends up being the odd one out below the median.
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If the mode is 100, it means that 100 is the most frequently occurring value in the data set. If the mean is less than the median, it indicates that the data is negatively skewed, with a tail stretching towards lower values. This suggests that there are some low values dragging the mean down, while the median remains higher due to the presence of higher values on the other side.
Well, isn't that just a happy little coincidence! When the mode is 100, it means that value appears most frequently. And when the mean is less than the median, it suggests that the data is skewed to the left. Just remember, every piece of data adds to the beauty of the whole picture.
It is perfectly possible.
(1, 5, 97, 99, 100, 100) The mode is 100. The median is 98. The mean is 67.
The mean is 1226.75. The median is 508. There is no mode as no number occurs more than any other.
The question is how do the mean and median affect the distribution shape. In a normal curve, the mean and median are both in the same point. ( as is the mode) If a distribution is skewed, its tail is either on the right or the left. If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use. So the mean has a bigger effect on the shape many times than the median.
If the distribution is not symmetric, the mean will be different from the median. A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.
Yes, the mode is the number that occurs most often. The median is the average.