McKinsey says the nation will also need 1.5 million more data-literate managers, whether retrained or hired. The report points to the need for a sweeping change in business to adapt a new way of managing and making decisions that relies more on data analysis. Managers, according to the McKinsey researchers, must grasp the principles of data analytics and be able to ask the right questions.

“Every manager will really have to understand something about statistics and experimental design going forward,” said Michael Chui, a senior fellow at the McKinsey Global Institute.

The study estimates that the use of personal location data could save consumers worldwide more than $600 billion annually by 2020. Computers determine users’ whereabouts by tracking their mobile devices, like cellphones. The study cites smartphone location services including Foursquare and Loopt, for locating friends, and ones for finding nearby stores and restaurants.

But the biggest single consumer benefit, the study says, is going to come from time and fuel savings from location-based services — tapping into real-time traffic and weather data — that help drivers avoid congestion and suggest alternative routes. The location tracking, McKinsey says, will work either from drivers’ mobile phones or GPS systems in cars.

Personal location data raises privacy concerns. Both Google and Apple, for example, have faced protests recently for collecting location data without most users’ knowledge. The McKinsey report says such services should require that users have a choice and opt-in to use them, but the report does not deal with privacy issues in detail.

The sizable projected payoff for consumers, some experts say, is not surprising. “Much of the benefit of innovation always flows to consumers,” said Martin Baily, an economist at the Brookings Institution, who was an adviser on the study. “So the large consumer surplus makes sense.”

In health care, the biggest slice of the $300 billion gain is expected to come from more effectively using data to inform treatment decisions. The tools include clinical decision support to assist doctors, and comparative effectiveness research to make more informed decisions on drug therapy.