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What else can I help you with?
Can the mean be equal to the median?
Yes, and they WILL be if the distribution is symmetrical.
Are median and mean always similar?
No, not always. Median is the number that's in the middle of a group of numerical data. Mean is just the average of a set of numbers, which isn't always in the middle.
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.
Can the altitude from the vertex angle of an isosceles triangle be the median?
If the triangle is really isosceles, and it's not lying on one of the equal sides, then the altitude is always a median.
For a given data set the mean and median are always nearly equal?
No.
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.
How do mean deviation from median?
The mean deviation from the median is equal to the mean minus the median.
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.
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.
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
What is the median for 11 and 5?
Both the median and mean of these two numbers are equal to 8.
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.
Are the mean and median equal in a normal distribution?
Yes.
Can the mean be equal to the median?
Yes, and they WILL be if the distribution is symmetrical.
Are the median and the mean always the same value?
No, not necessarily. They each measure central tendency but in different ways. The mean measures the average of all of the scores while the mean is the middle score. In a normal distribution the median and mean must be equal. In other data sets, they may or may not be equal. For example, the set {0, 1, 2, 3, 5, 7, 10} has a mean of 28/7 = 4 and a median of 3.
