Quotes about average
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“I am suspicious of all the things that the average people believes.”
“The average man is hooked to his fellow men, while the warrior is hooked only to infinity.”

“By definition, it is not possible to everyone to be above the average.”
Source: Good to Great: Why Some Companies Make the Leap... and Others Don't

See also the Wikipedia article on the Lake Wobegon effect.
A Prairie Home Companion, News from Lake Wobegon

“God didn't create you to be average. You were created to excel You have everything”
Source: Become a Better You: 7 Keys to Improving Your Life Every Day

“The best argument against democracy is a five-minute conversation with the average voter”
Attribution debunked in Langworth's Churchill by Himself. First known appearance is in a 1992 usenet post https://groups.google.com/forum/message/raw?msg=rec.arts.comics.misc/EMj3ZowKq1U/E0dsEBwdZEgJ.
Misattributed
Source: Google books link https://books.google.com/books?id=vbsU21fEhLAC&q=average+voter#v=snippet&q=average%20voter&f=false

“Being average means you are as close to the bottom as you are to the top.”
Source: Wooden: A Lifetime of Observations and Reflections On and Off the Court

“The healthiest competition occurs when average people win by putting in above-average effort.”
1990s, My American Journey (1996)

“the average man does not want to be free. he simply wants to be safe.”

“There is no such thing as an average human being. If you have a normal brain, you are superior.”

“Nevertheless, it is even harder for the average ape to believe that he has descended from man.”
Source: A Mencken Chrestomathy

Non-Fiction, English Literature: A Survey for Students (1958, revised 1974)

As quoted in “Roberto Clementeː Pounder from Puerto Rico” by John Devaney, in Baseball Stars of 1964 (1964), edited by Ray Robinson, p. 150
Other, <big><big>1960s</big></big>, <big>1964</big>

First Lecture, The Definition of Probability, p. 18
Probability, Statistics And Truth - Second Revised English Edition - (1957)

Praxis films, 2013
2013

The Fallacy of Trusted Client Software, Schneier, Bruce, 2001-08, Cryptogram newsletter, 2018-08-12 https://www.schneier.com/essays/archives/2000/08/the_fallacy_of_trust.html,
Digital Rights Management

After being asked by host Lisa Wilkinson to nominate his top achievement in his capacity as Minister for Women, quoted in Sydney Morning Herald, "Tony Abbott names carbon tax repeal as his top achievement as Minister for Women'" http://www.smh.com.au/federal-politics/political-news/tony-abbott-names-carbon-tax-repeal-as-his-top-achievement-as-minister-for-women-20141221-12bw42, December 22, 2014
2014

O'Connell and Rawling swiftly interrupt.
BBC Fighting Talk (2005)

On the religious right in America http://therealnews.com/t/index.php?option=com_content&task=view&id=31&Itemid=74&jumival=342
2000s, What I've Learned (2008), Gore Vidal's America (2009)
Violence is golden
A Sky Without Eagles (2014)

p. 35 of "On a new class of "contagious" distributions, applicable in entomology and bacteriology." http://www.jstor.org/stable/2235986 The Annals of Mathematical Statistics 10, no. 1 (1939): 35–57.

As quoted in "The Dreams of William Golding", BBC Arena (2012)
Source: The Ape that Kicked the Hornet's Nest (2013), p. 268

Source: The Unfinished Autobiography (1951), Chapter V - Part 1
What the Bones Tell Us (1997)

And the New World Order is like "Act like a jellyfish coward and giggle at all reality", and they're like "Yes, yes!"
"Alex Jones: I'm So Trendy Rant!" https://www.youtube.com/watch?v=UBA-sa97UYg March 2012.
2012

As quoted in Steve Jobs at 44, Time (Michael Krantz and Steve Jobs, Oct. 10, 1999) http://content.time.com/time/printout/0,8816,32207,00.html
1990s

Reasons to cry during the movie "Titanic" http://www.thebestpageintheuniverse.net/c.cgi?u=cry_titanic.
The Best Page in the Universe

"Pagavan E : Zabel Yesayan'ın Barış Çağrısını Duyabilmek"] ["Enough! : Being Able to Hear Zabel Yesayan's Call for Peace"] by Melissa Bilal, in Kültür ve Siyasette Feminist Yaklaşımlar [Feminist Approaches in Culture and Politics], Issue 7 (March 2009)
“Normal is the wrong name often used for average.”
Source: Meditations in Wall Street (1940), p.135
Source: 1910s, Ads and Sales (1911), p. 7

“On average, successful people have had many more failures that unsuccessful people.”
This is Your Brain on Music (2006)

2000s, Europe's Anti-American Obsession (2003)

Source: Das Ressentiment im Aufbau der Moralen (1912), L. Coser, trans. (1961), pp. 99-100

Source: The Cathars and Reincarnation (1970), p. 100

Source: 1970s, Chapter 3 (The Future of Transport) in Profiles of the Future (7th printing, 1972)

"Flooding and storms in UK are clear signs of climate change, says Lord Stern. Author of 2006 report says recent weather is part of international pattern and demonstrates urgent need to cut carbon emissions" http://www.theguardian.com/environment/2014/feb/13/flooding-storms-uk-climate-change-lord-stern?CMP=EMCNEWEML6619I2, The Guardian (13 February 2014).
My Odyssey (1971), No. 5

New York Times, Dane Clark, Actor, 85, Dies; Starred in World War II Films, September 16, 1998

Correspondance avec le pasteur Pfister, 1909-1939, Gallimard, 1991, p.103; as quoted in Altruism: The Power of Compassion to Change Yourself and the World by Matthieu Ricard
Attributed from posthumous publications
Benjamin I. Page and Martin Gilens, Democracy in America?: What Has Gone Wrong and What We Can Do About It (University of Chicago Press: 2017), p. 19

Undated letter at Godfrey Higgins http://burghwallis.com/village/articles/higgins.htm biography.
2010s, 2018, Interview with Bill Kristol (2018)

The Life of Students (1915)

On her character from the TV series The Secret World of Alex Mack; USA Today, August 7, 1995.

"Documentation of IPCC WG1 Bias by Roger A. Pielke Sr. and Dallas Staley - Part I," Climate Science: Roger Pielke Sr. Research Group Weblog (2007-06-20) http://climatesci.org/2007/06/20/documentation-of-ipcc-wg1-bias-by-roger-a-pielke-sr-and-dallas-staley-part-i/

Source: Light on Life: The Yoga Journey to Wholeness, Inner Peace, and Ultimate Freedom, P.xiii
Source: Public Finance - International Edition - Sixth Edition, Chapter 9, Social Insurance I: Social Security and Unemployment Insurance, p. 197
Dominion (2002)

The Evolutionary Future of Man (1993)

On Ted Williams, as quoted in "Here's the Pitch" by Frank Finch, in The Los Angeles Times (June 5, 1958), p. C2
The Eve of the Revolution (1918)

The Journals of Arnold Bennett, ed. Newman Flower (pub. Cassell, 1932)

Source: Principles of Scientific Management, 1911, p. 87.

Source: Books, Spiritual Warrior, Volume I: Uncovering Spiritual Truths in Psychic Phenomena (Hari-Nama Press, 1996), Chapter 1: Dreams: A State of Reality, p. 25
p. 11 of "Comments on the foundations of set theory." https://books.google.com/books?id=TVi2AwAAQBAJ&pg=PA11 In Axiomatic set theory, pp. 9-15. Providence (RI). American Mathematical Society, 1971.
Source: Just a Theory: Exploring the Nature of Science (2005), Chapter 3, “Words Scientists Don’t Use: At Least Not the Way You Do” (p. 56)

Jeff's view on science and scientists (Amsterdam, Elsevier Butterworth-Heinemann, 2006, ISBN 0-444-52133-X, pbk.), Ch. 5: "The tragic matter" (p. 43).

"The Writing on the Wall"
The Writing on the Wall and Other Literary Essays (1970)
Source: The Art of Probability for Scientists and Engineers (1991), p. 4 [emphasis in original]
Source: Your Forces and How to Use Them (1912), Chapter 6, p. 91–2

1940s–present, Introduction to Nietzsche's The Antichrist