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What is the distribution when the mean median and mode are the same?
The normal distribution.
Normal distribution is symmetric about mean or median or mode?
Mean
What Percent of data is below the mean in a normal distribution?
In the normal distribution, the mean and median coincide, and 50% of the data are below the mean.
How does the median affect the graph of a normal distribution?
A normal distribution is symmetrical; the mean, median and mode are all the same, on the line of symmetry (middle) of the graph.
Is the mean 50 percentile of any normal distribution?
Yes, the mean (and median and mode) is the 50th percentile of any normal distribution.
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 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.
Is the mean always equal to the median for a normal distribution?
Yes, in a normal distribution, the mean is always equal to the median. This is because the normal distribution is symmetric around its mean, meaning that the values are evenly distributed on both sides. As a result, the central tendency measured by both the mean and the median coincides at the same point.
What are the median and mode of a normal distribution if the mean is 22 and the standard deviation is 4?
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
In a normal distribution if the mean and the mode are both 25 what would the median be?
In a normal distribution, the mean, median, and mode are all equal. Therefore, if both the mean and the mode are 25, the median would also be 25. This property is a defining characteristic of normal distributions.
True or False are the mean median and mode all equal for a normal distribution?
True. You can find many references including wikipedia on the Normal distribution on the internet.
Will the mean and median in a symmetric distribution always be equal or approximately equal and Why?
In a symmetric distribution, the mean and median will always be equal. This is because symmetry implies that the distribution is balanced around a central point, which is where both the mean (the average) and the median (the middle value) will fall. Therefore, in perfectly symmetric distributions like the normal distribution, the mean, median, and mode coincide at the center. In practice, they may be approximately equal in symmetric distributions that are not perfectly symmetrical due to rounding or sampling variability.
What is the distribution when the mean median and mode are the same?
The normal distribution.
Normal distribution is symmetric about mean or median or mode?
Mean
If the mean of a normally distributed population is 132 what is the median?
132. You're the the one that stated "normal distribution", thus the same.
If the mean of a distribution is 105 what is the median of the distribution?
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.
