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The relationship between the mean and the median depends on the shape of the distribution. In a symmetric distribution, the mean and median are equal, so if the mean is 105, the median would also be 105. However, if the distribution is skewed, the median could be less than or greater than the mean. Without additional information about the distribution's shape, we cannot definitively determine the median.
What else can I help you with?
If the mean of a normal distribution i s105 what is the median of the distribution?
In a normal distribution, the mean, median, and mode are all equal. Therefore, if the mean of the distribution is 105, the median of the distribution is also 105. This property holds true for any normal distribution regardless of its standard deviation.
Is the mean always less than the median?
No, the mean is not always less than the median. The relationship between the mean and the median depends on the distribution of the data. In a skewed distribution, the mean can be less than or greater than the median; for example, in a left-skewed distribution, the mean is typically less than the median, while in a right-skewed distribution, the mean is usually greater than the median. In symmetrical distributions, like the normal distribution, the mean and median are equal.
If the mean is 40 in a normal distribution what is the median?
In a normal distribution, the mean, median, and mode are all equal. Therefore, if the mean is 40, the median is also 40. This property holds true for any normal distribution regardless of its specific values.
How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
Are the mean and median equal in a chi-square distribution?
No.
If the mean of a normal distribution i s105 what is the median of the distribution?
In a normal distribution, the mean, median, and mode are all equal. Therefore, if the mean of the distribution is 105, the median of the distribution is also 105. This property holds true for any normal distribution regardless of its standard deviation.
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 the mean always less than the median?
No, the mean is not always less than the median. The relationship between the mean and the median depends on the distribution of the data. In a skewed distribution, the mean can be less than or greater than the median; for example, in a left-skewed distribution, the mean is typically less than the median, while in a right-skewed distribution, the mean is usually greater than the median. In symmetrical distributions, like the normal distribution, the mean and median are equal.
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.
When is data negatively or positively skewed?
i) Since Mean<Median the distribution is negatively skewed ii) Since Mean>Median the distribution is positively skewed iii) Median>Mode the distribution is positively skewed iv) Median<Mode the distribution is negatively skewed
The mean of a symmetrical distribution is 40What is its median?
for symmetrical distributions your mean equals the median. that is one of the properties of the symmetrical distribution.
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).
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 distribution when the mean median and mode are the same?
The normal distribution.
If the mean is 40 in a normal distribution what is the median?
In a normal distribution, the mean, median, and mode are all equal. Therefore, if the mean is 40, the median is also 40. This property holds true for any normal distribution regardless of its specific values.
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.
When is the median more useful than the mean?
When the distribution has outliers. They will skew the mean but will not affect the median.
