The Shattered Fortress (track)
by Dream Theater

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Black Clouds & Silver Linings (6 tracks)

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The Best Of Times

The Shattered Fortress appears on the following album(s) by Dream Theater:

• Black Clouds & Silver Linings (track #4) (this album) (2009)
• Breaking The Fourth Wall: Live From The Boston Opera House (track #2) (2014)

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The Shattered Fortress ratings

   Average Rating = (n ÷ (n + m)) × av + (m ÷ (n + m)) × AV
where:
av = trimmed mean average rating an item has currently received.
n = number of ratings an item has currently received.
m = minimum number of ratings required for an item to appear in a 'top-rated' chart (currently 10).
AV = the site mean average rating.

Rating metrics: Outliers can be removed when calculating a mean average to dampen the effects of ratings outside the normal distribution. This figure is provided as the trimmed mean. A high standard deviation can be legitimate, but can sometimes indicate 'gaming' is occurring. Consider a simplified example* of an item receiving ratings of 100, 50, & 0. The mean average rating would be 50. However, ratings of 55, 50 & 45 could also result in the same average. The second average might be more trusted because there is more consensus around a particular rating (a lower deviation).
(*In practice, some tracks can have several thousand ratings)
This track is rated in the top 3% of all tracks on BestEverAlbums.com. This track has a Bayesian average rating of 82.2/100, a mean average of 81.9/100, and a trimmed mean (excluding outliers) of 84.5/100. The standard deviation for this track is 17.6.

• Related links:
• Top tracks by Dream Theater
• Top tracks of the 2000s
• Top tracks of 2009

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