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

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Jaunita Donnelly

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โˆ™ 2022-10-30 12:46:02
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Q: What is the shape of a distribution when the mean and the median are the same value?
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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).


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.


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 mean and median have one value?

Yes. And in any symmetric distribution, they will.


Is the 50th percentile of a distribution the same as the distribution mean?

Mean = average and median = the middle value in an array of all values received. So to answer your question the 50th percentile of a distribution is the same as median.


What is the mean of a normal distribution?

It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.


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.


Is normal distribution bimodel?

No.  Normal distribution is uni-modal, specifically with the mean, mode, and median at the same value.


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.


What is the shape of the distribution of the mean of a sample?

The mean of a sample is a single value and so its distribution is a single value with probability 1.


Is the value of mean equals 35.4 and value of median equals 35 the shape of the curve skewed is?

the shape of the curve skewed is "right"


What are the uses of median?

When someone asks a for an "average" value, that can mean a couple of different things. "Mean," "median," and "mode" are all values that are used to relate what the "center" or "average" of a distribution of values is. Each one has their advantages and disadvantages. The median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution. The main advantage of the median is that it is not affected by outliers as the mean is and the mode can be. In distributions with a clear skew, such as housing prices or wages, using the median provides a much better estimate of what the "average" is.

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