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Yes. It can be higher or lower

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Q: Can the median ever be higher than the average?
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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 the average be lower than the median?

Yes. Higher or lower. The average is the sum of the elements divided by the number of elements. The median is the average of only the highest and lowest numbers.. For the numbers 0,5,100, the median is 50 and the average is 35. For the numbers 0,53,100 the median is still 50 and the average is 51.


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 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.


Why mean is higher than median?

it is a divison


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.


Can the mode be larger than the median?

Yes, the mode is the number that occurs most often. The median is the average.


Why do we study the median?

The median is a more robust measure than the average, which means it is more resilient to the effects of outliers in your dataset.


What does the median tell you about the data?

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.


Can you get the same median if you add two more numbers?

yes, depending on what your numbers are, you would need for one to be higher and one lower than your current median, it's always the number in the middle or the average of the 2 middle if it's an even amount of variables.


Define median signal strength?

Median signal strength is a number such that the actual signal is higher than that number 50% of the timeand lower than that number 50% of the time.