because mean you add all the number and median you look for the number in the middel
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
When a distribution is skewed to the right, the mean is greater than median.
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.
Yes. It can be higher or lower
Yes.
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
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.
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.
The mean is better than the median when there are outliers.
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.
When a distribution is skewed to the right, the mean is greater than median.
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.
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.
The mode cannot be definitively determined with just the mean and median provided. However, in a dataset where the mean is 5 and the median is 6, it suggests that there may be some lower values pulling the mean down. The mode could be less than, equal to, or greater than both the mean and median depending on the distribution of the data. Therefore, without additional information about the dataset, the mode remains indeterminate.
When the distribution has outliers. They will skew the mean but will not affect the median.
7,6,4,92,57,32
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.