Taking the derivative:
2lnx+2, 2(lnx+1).
Extrema occur at y'=0.
2(lnx+1)=0,lnx=-1
x=e^(-1)=1/e
y=-2/e
So the extrema occurs at (1/e,-2/e)
when there are extreme values in the data
Generally not without further reason. Extreme values are often called outliers. Eliminating unusually high values will lower the standard deviation. You may want to calculate standard deviations with and without the extreme values to identify their impact on calculations. See related link for additional discussion.
the variance
what do we call a measure that is relatively unaffected by extreme observations
Because it is easily influenced by extreme values (i.e. it is not unbiased).
when there are extreme values in the data
Any variation is very sensitive to extreme values!
yes
Values that are commonly accepted and are not extreme in any way.
An extreme interpretation of Islamic values.
Danze16
Generally not without further reason. Extreme values are often called outliers. Eliminating unusually high values will lower the standard deviation. You may want to calculate standard deviations with and without the extreme values to identify their impact on calculations. See related link for additional discussion.
mode and mean
extreme values don't affect the mode
false
Danze16
You find the greatest number for the upper extreme and find the lowest number for the lower extreme.