I am guessing you are asking for an example of a set of numbers with these properties. Let's start with 5 numbers, so the median will be the middle number; say 1, 2, 3, 4, 5. The median is 3, but so is the mean. Now let's replace the 5 with 10. The median is still 3, but the mean is 4. To make the mode less than 3, let us change the 2 into a 1. Now the median is still 3, the mode is 1, and the mean is 3.8. So 1, 1, 3, 4, 10 will work.
When a distribution is skewed to the right, the mean is greater than median.
As the mean is greater than the median it will be positively skewed (skewed to the right), and if the median is larger than the mean it will be negatively skewed (skewed to the left)
Yes.
true
median
7,6,4,92,57,32
When a distribution is skewed to the right, the mean is greater than median.
The mode cannot be definitively determined with just the mean and median provided. However, in a dataset where the mean is 5 and the median is 6, it suggests that there may be some lower values pulling the mean down. The mode could be less than, equal to, or greater than both the mean and median depending on the distribution of the data. Therefore, without additional information about the dataset, the mode remains indeterminate.
As the mean is greater than the median it will be positively skewed (skewed to the right), and if the median is larger than the mean it will be negatively skewed (skewed to the left)
Yes.
IDN
The mean is 1226.75. The median is 508. There is no mode as no number occurs more than any other.
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.
(1, 5, 97, 99, 100, 100) The mode is 100. The median is 98. The mean is 67.
Generally, when the median is greater than the mean it is because the distribution is skewed to the left. This results in outliers or values further below the median than above the median which results in a lower mean value than median value. When a distribution is skewed left, it is generally not very symmetrical or normally distributed.
Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.
It depends on the definition of mode. If mode is simply the most frequently occurring outcome and more than one outcome in the sample space is allowed to be the mode, then all datasets do have a mean, median, and mode.