0
FALSE
The mean is the MOST affected by the outlier.
Example:
<- 1 2 3 4 5 9 ->
9 is the outlier
1 + 2 + 3 + 4 + 5 + 9 = 24
Divided by 6 = 4
Without 9 the solution is this:
1 + 2 + 3 + 4 + 5 = 15
Divided by 5 = 3
The median and mode are also affected.
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∙ 10y ago
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Disadvantages of the mean in statistics?
the mean is affected by outliers
Is absolute mean deviation affected by outliers?
Yes.
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.
What is it called when the minimum and maximum values in a data set?
They are called outliers
Disadvantages of the mean in statistics?
the mean is affected by outliers
Is absolute mean deviation affected by outliers?
Yes.
What is affected by extreme outliers?
The mean, variance, skewness, kurtosis and all higher moments of a distribution.
What measures of central location is affected most by extreme values?
The mean is most affected. Mode and Median are not influenced as much by outliers.
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.
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.
In general the median of a data set is more resistant to outliers than the mean.?
Yes, it is.
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. :)
What does advantages and disadvantages mean?
MEANUse the mean to describe the middle of a set of data that does not have an outlier.Advantages:• Most popular measure in fields such as business, engineering and computer science.• It is unique - there is only one answer.• Useful when comparing sets of data.Disadvantages:• Affected by extreme values (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.
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.
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.
