0
What else can I help you with?
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
What is the relationship among the mean median and the mode in a symmetric distribution?
All equal.
What is the relationship among the mean median and mode in a symmetric distribution?
They are all equal . . . they are the same.(In an asymmetric distribution they are not equal.)
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.
How do mean deviation from median?
The mean deviation from the median is equal to the mean minus the median.
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
What is the median for 11 and 5?
Both the median and mean of these two numbers are equal to 8.
Are the mean and median equal in a chi-square distribution?
No.
Are the mean and median equal in a normal distribution?
Yes.
In a unimodal symmetrical distribution the mean is equal to?
The median and mode.
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.
In a normal curve what three values are equal?
mean, median and mode
For a given data set the mean and median are always nearly equal?
No.
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
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.
