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
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
Either one can be larger (or smaller) than the other.
You can use them to describe the central tendency of the data but no more than that.
the median is perferred when the data is strongly skewed or has outliers. =)
When a distribution is skewed to the right, the mean is greater than median.
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
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 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.
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.
In the same way that you calculate mean and median that are greater than the standard deviation!
When the data distribution is negatively skewed.
The answer depends on the type of data. The mean or median are useless if the data are qualitative (categoric): only the mode is any use. The median is better than the mean is the data are very skewed.
It is halfway along the distribution of set values. There are as many members of the set with values smaller than the median as there are with values bigger than it.
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.
Either one can be larger (or smaller) than the other.
Yes, it is.
The median, by definition, tells you the "half way point" of your data. Exactly half of the observations in the dataset will be less than the median and half will be greater than the median.