Skip to main content (Press Enter).
Skip auxiliary navigation (Press Enter).
Code of Conduct
Skip main navigation (Press Enter).
on this day
between these dates
Statistics User Forum
Post a Message
Share a File
Join a Community
RPI/CPI User Group
last person joined: 2 months ago
To foster co-operation and the exchange of information between the ONS, its advisory bodies and other users. Please see 'Aims of the RPI/CPI User Group' in the library for further details.
Back to Library
SKewness and arithmetic and geometric means (reworking of Arthur Barnett's example
10 days ago
In this reworking of Arthur Barnett's example, values that exceed the original average 0.5 value are the counterparts of the values that
fall below it, e.g. 0.4 in the second iteration of the left skewed example becomes 0.625 in the second iteration of the right skewed example
so that the geometric mean of the two values, 0.4 and 0.625 is 0.5. Note that this makes a big difference in the symmetric example, where the
arithmetic mean shows higher and higher values with increasing variance but the geometric mean remains constant at 0.50.
In the variant of the symmetric example, this distribution would be considered skewed to the right since the upper values differ from
the median value by much more than the lower values do, however if one looks at the logs of the values there is symmetry. For example:
Related Entries and Links
No Related Resource entered.
Tags and Keywords
Skewness and arithmetic and geometric means (reworking of...
Uploaded - 18-04-2017
In this reworking, as the variance increases where there are lower and higher values around the median, it is the geometric mean that always reflects the median value, while the arithmetic mean drifts upward.
Please accept the terms of the copyright associated with this attachment before downloading it. Click the link below to read the terms.
Copyright © 2017 Office for National Statistics. All rights reserved.
Powered by Higher Logic