Health care insurers claim that the enrollment data sent to insurance companies are still marred with mistakes even if the U.S. government said last Saturday, December 14, that it had reduced the errors, according to a CNBC report.

There were more than 137.000 people who selected their health plans last October and November in the federal insurance marketplace. This December, administration officials say that more than 100,000 people signed up during the first week, the report said.

The government is supposed to send electronic information to an insurance company once a person signs up. The government uses a standard format known as an 834 enrollment transaction.

"Between Oct. 1 and Dec. 5, the number of consumers for whom 834s were not produced was fewer than 15,000," Julie Bataille, a spokeswoman at the federal Centers for Medicare and Medicaid Services, told CNBC. "Since the beginning of December, missing 834s as a percentage of total enrollments has been close to zero."

Bataille said that some enrollment reports on consumers "were either not being generated, or had errors due to larger technical system issues." She said that these problems occurred between October 1 and during the middle of November.

In response to complaints, the government sent information to insurers last Tuesday and Wednesday listing those who had enrolled through the federal marketplace. Insurers, then, are expected to compare information with their own records.

However, insurers still found discrepancies in the process and that the government overstated its statement of improving HealthCare.gov. According to the report, insurers say there were mistakes in the home addresses of some of the policyholders. In others, a child's name was listed as the person who will pay for premiums and the parents were listed as dependents.

According to the report, the quality of the data is important. Discrepancies and errors could affect the ability of people to get medical care and prescription drugs when they go to medical checkups or go to pharmacies next month.