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Not a lot. Many textbooks suggest that if the mean is less than the median the distribution is positively skewed or skewed to the right.
But, this is not necessarily true and the rule of thumb is often broken. See article by Paul T. von Hippel, Journal of Statistics Education, Volume 13, Number 2 (2005).
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You would have a skewed distribution. You would have a lot of higher results bunched up and fewer low results, but the lower results would be much lower, bringing the mean average down.
What else can I help you with?
Can a mean average ever be higher than a median average?
Yes. If the predominant data are higher than the median, the mean average will be higher than the median average. For example, the median average of the numbers one through ten is five. The mean average is five and one-half.
When is the median used rather than the mean?
The question will specify.
Can the median be greater than the mean in a set of numbers?
No because the mean is the highest numeral and the median is the middle numeral of the set of numbers so it is tecnictly impossible, but if you are using decimals, the median could get pretty close to the mean, but never higher.
What does the median tell you?
The median is the middle number of any given set when they are in order, least to greatest. If there is an even number of values, the median is the average of the middle two. It tells you that half the members of the set are greater than it and half are less than it.
Why is mean median and mode important?
Its important because they show trends (growth) in data. Individual data points are less important than what you see when you put all the data together.
How come the mean is less than the median?
If the distribution is not symmetric, the mean will be different from the median. A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.
What Mode is 100 and mean is less than the median?
IDN
When is the mean less than the median?
When the data distribution is negatively skewed.
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.
Can the mean mean be less than the median?
definantly, yes Of course. 1, 2, 3, 40, 50, 60, 82 Mean = 34 Median = 40
How the values of mean and median relate to shape?
The question is how do the mean and median affect the distribution shape. In a normal curve, the mean and median are both in the same point. ( as is the mode) If a distribution is skewed, its tail is either on the right or the left. If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use. So the mean has a bigger effect on the shape many times than the median.
In a negatively skewed dist. following statements are true except?
In a negatively skewed distribution, the mean is typically less than the median, and the median is less than the mode. This results in a tail that extends longer to the left. Therefore, any statement claiming that the mean is greater than the median or that the mode is less than the median would be false. Thus, one must be careful to identify which statements accurately reflect the characteristics of negatively skewed distributions.
What is the median of the prime numbers less than 40?
The median of the 12 primes less than 40 is 15.
The point of intersection of the less than and more than ogive corresponds to 1.geometric mean 2.mode 3. median 4.none of the above?
median
What are six numbers where the mode is 100 and the mean is less than the median?
(1, 5, 97, 99, 100, 100) The mode is 100. The median is 98. The mean is 67.
What are the characteristics of mean as a measure of central tendency?
One of the characteristics of mean when measuring central tendency is that when there are positively skewed distributions, the mean is always greater than the median. Another characteristic is that when there are negatively skewed distributions, the mean is always less than the median.
Why use a median instead of average?
The median is less effected by outliers or numbers far outside of the normal range than the mean. See related link.
