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The mean is not always better. It is better in the sense that it uses information from each observation but that also means that it is more likely to be distorted by outliers.
Under the law of large numbers the mean has some very useful and well understood properties and that make it a good test statistic.
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How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
Why is the median better than the mean?
It shows the middle number in a number group rather than the average score in a number group. It isn't exactly better than the mean because they are often very close numbers. But at other times, one number in a group messes up the mean if it is too low or too high, so you can get a better answer by finding out the median.
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.
What are some numbers that the mean is bigger than the median and the median is greater than the mode?
7,6,4,92,57,32
What number has a range of 5a median of 16 and a mean of 15?
A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean.
How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
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.
Is Mean is more sensitive to skewness than the median?
If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.
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.
Why is the median better than the mean?
It shows the middle number in a number group rather than the average score in a number group. It isn't exactly better than the mean because they are often very close numbers. But at other times, one number in a group messes up the mean if it is too low or too high, so you can get a better answer by finding out the median.
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.
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.
When is the median more useful than the mean?
When the distribution has outliers. They will skew the mean but will not affect the median.
What are some numbers that the mean is bigger than the median and the median is greater than the mode?
7,6,4,92,57,32
What is the nature of symmetry if median is greater than the mean?
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.
