0
In general the median of a data set is more resistant to outliers than the mean.?
Wiki User
ā 6y ago
Yes, it is.
Wiki User
ā 6y ago
Add your answer:
Earn +20 pts
What is median in the set of data?
The median in a set of data, would be the middle item of the data string... such as: 1,2,3,4,5,6,7 the Median of this set of data would be: 4
What is the definition of median in math?
the median is the middle number in a set of data.
Given the following data 164 175 126 135 159 143 55 what effect will the outlier have on the median of the data if the outlier is excluded?
If the outlier is excluded the median of the data will be higher.
Is it possible for the mean and the median of a set of data to be the same data?
no it can not because if you try to do it then i cannot be the same answer
How is it possible for two sets of data to consist of different numbers but have the same mean the same median the same mode?
The range of a data set is the difference between the largest and smallest number in your set of data. Median is the number that comes in the middle. 54, 55, 56 has a range of 54-56 and a median of 55. The set 53, 55, 57 has a median of 55 also!
Is the median particularly sensitive to outliers in the data?
It is not.
When the median and mean are substantially different what does that tell you about the data?
I think it means that our data includes outliers.
How can you determine which measure of central tendency is best for the set if data?
Mean- If there are no outliers. A really low number or really high number will mess up the mean. Median- If there are outliers. The outliers will not mess up the median. Mode- If the most of one number is centrally located in the data. :)
When is each measure of central tendency most useful?
Mode: Data are qualitative or categoric. Median: Quantitative data with outliers - particularly if the distribution is skew. Mean: Quantitative data without outliers, or else approx symmetrical.
What are the uses for median?
Helps you accurately measure the results of a population. It's simply the middle number in a data set, so half of the population is above and half of it is below. It is better than the mean since it is resistant to outliers.
Why do they invented the stem and the leaf plot?
to organize your data set and figure out mean, median, mode, range, and outliers.
Under what conditions might you prefer to use the median rather than the mean as the best measure of central tendency?
the median is perferred when the data is strongly skewed or has outliers. =)
Advantages and disadvantages of median in statistics?
MEDIANUse the median to describe the middle of a set of data that does have an outlier.Advantages:• Extreme values (outliers) do not affect the median as strongly as they do the mean.• Useful when comparing sets of data.• It is unique - there is only one answer.Disadvantages:• Not as popular as mean.
Can there be 2 outliers in a set of data?
There is no limit to the number of outliers there can be in a set of data.
What are outliers and how do they affect data?
Outliers are observations that are unusually large or unusually small. There is no universally agreed definition but values smaller than Q1 - 1.5*IQR or larger than Q3 + 1.5IQR are normally considered outliers. Q1 and Q3 are the lower and upper quartiles and Q3-Q1 is the inter quartile range, IQR. Outliers distort the mean but cannot affect the median. If it distorts the median, then most of the data are rubbish and the data set should be examined thoroughly. Outliers will distort measures of dispersion, and higher moments, such as the variance, standard deviation, skewness, kurtosis etc but again, will not affect the IQR except in very extreme conditions.
How can the median and mean be different?
You will notice a difference in the data if you have outliers. The mean of a set is going to be heavily influenced by outliers due to the mean being dependant on the quantity of each unit (i.e. 2 cats, 7 cats, 300 cats, etc.) The median, however, is not influenced by outliers because it accounts for the number of units rather than the quantity associated with the units.
Advantages and disadvantages of mean in statistics?
MEDIANUse the median to describe the middle of a set of data that does have an outlier.Advantages:• Extreme values (outliers) do not affect the median as strongly as they do the mean.• Useful when comparing sets of data.• It is unique - there is only one answer.Disadvantages:• Not as popular as mean.
