0
What else can I help you with?
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.
Measurements that fall beyond 3 standard deviations from the mean?
They do happen, particularly with very skewed distributions.
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.
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.
True or false two normal distributions that have the same mean are centered at the same place regardless of the relationship between their standard deviation?
True. Two normal distributions that have the same mean are centered at the same point on the horizontal axis, regardless of their standard deviations. The standard deviation affects the spread or width of the distributions, but it does not change their center location. Therefore, even with different standard deviations, the distributions will overlap at the mean.
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.
