Why mean is higher than median?

Updated: 12/17/2022
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11y ago

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it is a divison

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Q: Why mean is higher than median?
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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.

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.

Can a median ever be higher than a mean?

Yes. For example, if you have the following set of numbers: 1 3 5 6 7. Mean=4.4, Median=5.

Can the median be greater than the mean in a set of numbers?

No because the mean is the highest numeral and the median is the middle numeral of the set of numbers so it is tecnictly impossible, but if you are using decimals, the median could get pretty close to the mean, but never higher.

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 mean of a distribution of scores of measures is higher than the median the distribution would be?

The distribution is skewed to the right.

How do you interpret the fact that average house prices in the US have been in the recent past 20-30 percent higher than median prices?

Average price higher than median price in this situation means that there was a number of EXTREMALLY expensive homes sold, way, way, higher than the median price, which skewed the average to the upside. There is a cluster of "average" properties around the mean, but a significant number of million dollar / pound houses than pull house price averages up. The mean is also higher than the median in the UK by about 20% - see Zoopla data that shows average house price as about 200k vs median.

Can the median ever be higher than the average?

Yes. It can be higher or lower

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.