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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
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.
Can the median ever be higher than the average?
Yes. It can be higher or lower
Can the mean be greater than the median?
Yes.
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
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.
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.
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.
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.
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 are some numbers that the mean is bigger than the median and the median is greater than the mode?
7,6,4,92,57,32
What does it mean when a set of votes has been skewed?
When a set of votes has been skewed it means that either the mean is higher than the median or lower. If it is higher the vote is said to be skewed to the right and when lower it is skewed to the left.
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.
