"data has shown that" is correct and usable in written English.
You can use it when you want to introduce a concrete fact or piece of evidence that proves something. For example: "Data has shown that people who exercise regularly have improved physical and mental health."
The comparative analysis of experimental data has shown that volatile metabolites make a much greater contribution to the microbial interactions than nonvolatile ones.
But recent data has shown that it has gone into decline.
Data has shown that nurse practitioners provide good health care.
Recent data has shown that growth has slowed, prompting some economists to cut their forecasts.
"In studies we've done, data has shown that both blue and red light have a low efficacy range in acne treatment," Dr. Alexiades-Armenakas said.
Data has shown that more than half of Islamophobic attacks in Britain are committed against women, who are typically targeted because they are wearing clothing associated with Islam.
Comparison of Social Security records (where proof of age is required) with census data has shown that many rural Americans falsely claim to have reached 100.
Time and again, data has shown that when women have equal rights and lead healthy lives, individuals, communities and nations thrive.
Since then, new data has shown that most economies, ours included, suffered a severe shock in the first quarter of this year," the chancellor told MPs.
Recent data has shown that an economic recovery may be imminent, but the Standard & Poor's 500-stock index has fallen almost 4percentt since Enron failed, while the Nasdaq composite has lost almost 6percentt.
Some reports suggest that half the UK's children are banned from tree-climbing in case they fall, but data has shown that three times as many children have gone to hospital after falling out of bed.
