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When is the mean used as a measure of central tendency?
When there aren't extreme values (outliers)
What are the disadvantages of least square method?
High sensetivity to outliers (i.e. Extreme observation)
What data that does not fit well with the rest of a data set.?
They are called extreme values or outliers.
Why is the interquartile range a more appropriate measure for spread than the range?
the interquartile range is not sensitive to outliers.
What is the significance of variance in statistics?
Variance is a measure of "relative to the mean, how far away does the other data fall" - it is a measure of dispersion. A high variance would indicate that your data is very much spread out over a large area (random), whereas a low variance would indicate that all your data is very similar.Standard deviation (the square root of the variance) is a measure of "on average, how far away does the data fall from the mean". It can be interpreted in a similar way to the variance, but since it is square rooted, it is less susceptible to outliers.
What is affected by extreme outliers?
Extreme outliers can greatly distort statistical measures such as the mean and standard deviation, making them less representative of the data. They can also impact the accuracy of predictive models by leading to overfitting. In some cases, outliers may signal data quality issues or the presence of unexpected patterns in the data that warrant further investigation.
If outliers are added to a dataset how would the variance and standard deviation change?
They would both increase.
When is the mean used as a measure of central tendency?
When there aren't extreme values (outliers)
What is the effect of extreme value on mean?
Outliers pull the mean in the direction of the outlier.
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.
Extreme numbers compared to the rest of the data are called?
Extreme numbers in the data as compared the the rest of the data are called OUTLIERS.
What are the disadvantages of least square method?
High sensetivity to outliers (i.e. Extreme observation)
What data that does not fit well with the rest of a data set.?
They are called extreme values or outliers.
Why is the interquartile range a more appropriate measure for spread than the range?
the interquartile range is not sensitive to outliers.
What is the measure of central tendency that is least affected by extreme values?
the variance
What is the upper extreme to a box- and- whisker plot?
THe maximum observed (excluding any outliers).
What is the significance of variance in statistics?
Variance is a measure of "relative to the mean, how far away does the other data fall" - it is a measure of dispersion. A high variance would indicate that your data is very much spread out over a large area (random), whereas a low variance would indicate that all your data is very similar.Standard deviation (the square root of the variance) is a measure of "on average, how far away does the data fall from the mean". It can be interpreted in a similar way to the variance, but since it is square rooted, it is less susceptible to outliers.
