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The phrase "a broad index of" is correct and usable in written English.
It can be used when referring to a wide-ranging or comprehensive list or collection of items, topics, or data points.
Example: "The report provides a broad index of the various factors influencing climate change."
Alternatives: "a wide range of" or "a comprehensive list of".
Exact(14)
A broad index of financial stocks fell almost 4percentt.
By contrast, a broad index of European shares, the Euro Stoxx, fell 2.8percentt on Monday but was still above the lows it reached earlier this year.
Against a broad index of the United States' main trading partners, the dollar was down 8.7percentthethe steepest decline since 1987, when it fell 12.2percentt.
"This invests in a broad index of nearly all the medium- and small-sized listed companies in the UK – some 600 stocks – and returned 12.9% in 2012.
The Standard & Poor's 500-stock index, a broad index of the stocks of large publicly traded companies, rose 0.32 point, or 0.02 percent, to 1,413.49.
In Kevin Mahogany's sets, you hear a broad index of jazz singing, from Nat King Cole to Jon Hendricks to Joe Williams; he has a big voice with a wide range, and he is literate in the music's history.
Similar(46)
A broader index of stocks on the Continent is off a little more than 1 percent.
This year, it has lost 70percentt of its value, while a broader index of broker-dealer stocks is down 33percentt.
Peer alcohol use was assessed as part of a broader index of peer deviance.
The development of Hadith is a vital element during the first three centuries of Islamic history, and its study provides a broad index to the mind and ethos of Islam.
When considering fluorinated polymer fibers, a broad index range of analyte refractive index from 1.25 to 1.45 with high sensitivity can be achieved.
More suggestions(18)
a broad pool of
a broad scope of
a broad span of
a high index of
a broad base of
a broad account of
a broad measure of
a broad expansion of
a broad swath of
a broad sweep of
a broad history of
a broad mass of
a broad expanse of
a broad framework of
a broad overhaul of
a broad pattern of
a broad number of
a broad repertoire of
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com