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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.


How do you calculate mean and Median smaller then Standard deviation?

In the same way that you calculate mean and median that are greater than the standard deviation!


Which is larger the mean or the median?

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


Is the mean and median similar?

The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.


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.


How does the outlier affect the mean and median?

The mean is better than the median when there are outliers.


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.


Can the median ever be higher than the mean?

Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.


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.


Is the mean influenced more than the median by a few extreme scores at one end of the distribution?

Yes. The mean uses the actual value of each observation. The value(s) of only the middle observation (or pair of middle observations) is required for the median. For all other observations, the median is concerned only with whether it is larger or smaller than it is.