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Is the sum of deviations from the mean equal to zero in symmetrical distributions?
Wiki User
∙ 11y ago
It is equal to zero in ALL distributions.
Wiki User
∙ 11y ago
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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.
Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?
No, not all distributions are symmetrical, and not all distributions have a single peak.
Measurements that fall beyond 3 standard deviations from the mean?
They do happen, particularly with very skewed distributions.
What does the sum of the deviations from the mean equal?
Zero.
In a unimodal symmetrical distribution the mean is equal to?
The median and mode.
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.
Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?
No, not all distributions are symmetrical, and not all distributions have a single peak.
Measurements that fall beyond 3 standard deviations from the mean?
They do happen, particularly with very skewed distributions.
What does the sum of the deviations from the mean equal?
Zero.
What happens in a normal distribution when the means are equal but the standard deviation changes?
The two distributions are symmetrical about the same point (the mean). The distribution where the sd is larger will be more flattened - with a lower peak and more spread out.
What are the Theoretical properties of normal distribution?
-It is symmetrical (mean = median) -It is bell shaped (empirical rule applies) -The interquartile range equals 1.33 standard deviations -The range is appr. equal to 6 stand. dev.
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
What is the difference between arithmetic mean and mode?
The mean, median, and mode are all measures of central tendency. For symmetrical distributions they all have the same value. For assymetrical distributions they have different values. The mean is the average and the mode is the most likely value.
Can the mean be equal to the median?
Yes, and they WILL be if the distribution is symmetrical.
In a unimodal symmetrical distribution the mean is equal to?
The median and mode.
If this data set is not symmetrical why does the mean nearly equal the range?
The mean being equal to the range has nothing to do with symmetry.
What does it mean when a figure is not symmetrical?
When a figure is not symmetrical, that means that there is no one line that will split the figure so that the corresponding sides are equal.
