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

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15y ago

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What is the mean median and mode of 3456 560 435 456?

The mean is 1226.75. The median is 508. There is no mode as no number occurs more than any other.


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.


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.


Where is the median more appropriate than mean?

When you have a line of numbers such as 1,2,3,3,4,6,7 that go in a relative order rather than numbers such as 1,2,6,6,7,12,14,20 that jump around more.


How the values of mean and median relate to shape?

The question is how do the mean and median affect the distribution shape. In a normal curve, the mean and median are both in the same point. ( as is the mode) If a distribution is skewed, its tail is either on the right or the left. If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use. So the mean has a bigger effect on the shape many times than the median.

Related Questions

What is a situation in which the median of a data set would be more useful than the mean?

The median is more useful than the mean in situations where the data set contains outliers or is skewed. For example, in household income data, where a few extremely high incomes can distort the average, the median provides a better representation of the typical income level. This makes the median a more reliable measure for understanding central tendency in such cases.


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.


What is the mean median and mode of 3456 560 435 456?

The mean is 1226.75. The median is 508. There is no mode as no number occurs more than any other.


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.


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.


In general the median of a data set is more resistant to outliers than the mean.?

Yes, it is.


The point of intersection of the less than and more than ogive corresponds to 1.geometric mean 2.mode 3. median 4.none of the above?

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.


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 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.