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Q: Why is the median so much smaller than the mean?
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Can the mean be smaller than the median for a set of data?

Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong


How come the mean is less 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.


Which is larger the mean or the median?

Either one can be larger (or smaller) than the other.


When the lower 50 percent of data has greater range the mean will be what to the median?

Whatever you like. The median value for each of the following three sets is 10. For the set {1, 9, 11, 12}. the mean is 8.25, smaller than the median. For the set {1, 9, 15, 15}. the mean is 10, the same as the median. For the set {1, 9, 15, 16}. the mean is 10.25, larger than the median.


What does the median of a set of data tell you?

The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.


When skewed right is the mean greater than median?

When a distribution is skewed to the right, the mean is greater than median.


Why is the median a more stable measure of central tendency than the mean?

in general,mean is more stable than median but in the case of extreme values it is better to consider median a stable measure than mean.


When is the median more useful than the mean?

When the distribution has outliers. They will skew the mean but will not affect the median.


What is the nature of symmetry if median is greater than the mean?

Generally, when the median is greater than the mean it is because the distribution is skewed to the left. This results in outliers or values further below the median than above the median which results in a lower mean value than median value. When a distribution is skewed left, it is generally not very symmetrical or normally distributed.


Can a mean average ever be higher than a median average?

Yes. If the predominant data are higher than the median, the mean average will be higher than the median average. For example, the median average of the numbers one through ten is five. The mean average is five and one-half.


A lopsided distribution of scores in which the mean is much larger than both the mode and median is said to be?

skewed.


Why is the mean lower than the median?

because mean you add all the number and median you look for the number in the middel