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Which is larger the mean or the median?
Either one can be larger (or smaller) than the other.
What is the shape of a frequency distribution with an arithmetic mean of 800 pounds median of 758 pounds and a mode of 750 pounds?
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)
Can the mean be smaller than the median for a set of data?
Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
Why is the median a more stable measure of central tendency than the mean?
in general,mean is more stable than median but in the case of extreme values it is better to consider median a stable measure than mean.
Which is larger the mean or the median?
Either one can be larger (or smaller) than the other.
What is the shape of a frequency distribution with an arithmetic mean of 800 pounds median of 758 pounds and a mode of 750 pounds?
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)
A lopsided distribution of scores in which the mean is much larger than both the mode and median is said to be?
skewed.
When the lower 50 percent of data has greater range the mean will be what to the median?
Whatever you like. The median value for each of the following three sets is 10. For the set {1, 9, 11, 12}. the mean is 8.25, smaller than the median. For the set {1, 9, 15, 15}. the mean is 10, the same as the median. For the set {1, 9, 15, 16}. the mean is 10.25, larger than the median.
How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
Can the mode be larger than the median?
Yes, the mode is the number that occurs most often. The median is the average.
What are median of 9?
The mean, median, and mode of a single number is that same number. Note that terms such as "mean" and "median" are usually only interesting for a larger set of numbers.
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.
Can the mean be smaller than the median for a set of data?
Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
Are half of the observations in an arithmetic mean always larger than the mean?
no -- are you thinking of the median? the mean is just the average for example, in this set 1 4 4 4 5 6 the mean is 4, but one observation is smaller than the average and two observations are larger.
Can the median ever be higher than the mean?
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.
