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The phrase "compared with data" is correct and can be used in written English.
You can use this phrase to compare one set of data with another, as in the sentence "The results of this experiment, compared with data from a previous study, indicate an increase in the rate of change."
Exact(60)
Summer temperatures for 2013 compared with data from 1981-2010 and 2007-2012.
Compared with data in the month a year earlier, factory orders in August were up 5percentt.
Mr. Rostker said that data from police departments in Phoenix, Los Angeles, Washington and Chicago, among others, was compared with data from New York.
Overall crime in New York City was down 2.98percentthroughgh Sunday, compared with data from the same period of last year, the police said.
The results were compared with data obtained in TYPHOON computations.
These findings were compared with data in patients with asthma.
The experimental results are compared with data from theoretical models.
Numerical results are compared with data from own experiments.
Experimental results have been compared with data in literature.
The results were compared with data obtained with unmodified HSA.
The results were compared with data from the TRANSALP experiment.
More suggestions(17)
assessed with data
compared with records
evaluated with data
compared with datasets
combined with data
explored with data
contrasted with data
compared with measures
distinguished with data
compared with existed
compared with documentation
compared with reported
relation with data
compared with data collection
compared with collected
years with data
compared with estimate
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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