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What else can I help you with?
Why calculate for the mean and median in relation to a sample?
Both the mean and median represent the center of a distribution. Calculating the mean is easier, but may be more affected by outliers or extreme values. The median is more robust.
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
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. =)
Can the mean be greater than the median?
Yes.
Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
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 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.
What is the outlier of the mean median and mode?
The median and mode cannot be outliers. For small samples a mode could be an outlier.
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. :)
In general the median of a data set is more resistant to outliers than the mean.?
Yes, it is.
Why calculate for the mean and median in relation to a sample?
Both the mean and median represent the center of a distribution. Calculating the mean is easier, but may be more affected by outliers or extreme values. The median is more robust.
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 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.
Do you take the outlier out when calculating mean and median?
No. The mean is calculated by adding all of the numbers, then dividing that sum by [how many numbers]. The trimmed meandoes remove some outliers (same number of outliers at top and bottom, though). The median is the middle number of a sorted set.
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
The mean and standard deviation are usually not used together because of outliers?
false
