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# What is the interpretation if the results in mean and median are the same?

Updated: 12/10/2022

Wiki User

11y ago

The data would be approximately evenly distributed about and below the mean.

This suggests a normal distribution, although there are other criteria involved in that.

Wiki User

11y ago

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Q: What is the interpretation if the results in mean and median are the same?
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### What is the median of 65 and 90?

The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5

### Can mean and median ever have the same value?

Yes because if the numbers are all the same they can be both mean and median but they do not have to be the same.

### When you calculate mean is the answer same when the same data is calculated by median?

No. The mean and median are not necessarily the same. They will be the same if the distribution is symmetric but the converse is not necessarily true. That is to say, a distribution does not have to be symmetric for the mean and median to be the same. For example, the mean and median of {1, 1, 5, 6, 12} are both 5 but the distribution is NOT symmetric.

### What 3 consecutive numbers that have the same mean and median?

All sets of 3 consecutive numbers will have the same mean and median

5,6,7

### How can two data sets with different numbers have the same mean median and mode?

(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.

### How are the mode and median the same?

Mean, median, and mode are all equal in a normal distribution.

### If the mean of a symmetric distribution is 130 which of these values could be the median of the distribution?

If it is a symmetric distribution, the median must be 130.

### What is the shape of a distribution when the mean and the median are about the same value?

That would provide some evidence that the distribution is symmetric about the mean (or median).

### What is the shape of a distribution when the mean and the median are the same value?

That would provide some evidence that the distribution is symmetric about the mean (or median).

### Can the median and the mean be the same value?

Yes. In the set (9, 10, 11, 12, 13) 11 is the median and the mean.

### What is the median between 21 and 24?

The median of two numbers is the same as their mean. In this case, 22.5