Update: The numbers are from the Centers for Disease Control and Prevention. A quotation:

The number of influenza-associated (i.e., flu-related) deaths varies from year to year because flu seasons often fluctuate in length and severity. CDC estimated that about 36,000 people died of flu-related causes each year, on average, during the 1990s in the United States. This figure includes people dying from complications of flu. This estimate came from a 2003 study published in the Journal of the American Medication Association (JAMA), which looked at the 1990-91 through the 1998-99 flu seasons. Statistical modeling was used to estimate how many flu-related deaths occurred among people whose underlying cause of death on their death certificate was listed as a respiratory or circulatory disease. During these years, the number of estimated deaths ranged from 17,000 to 52,000.

In 2009, CDC published additional estimates of flu-related deaths comparing different methods, including the methods used in the 2003 JAMA study. The seasons studied included the 1993-94 through the 2002-03 flu seasons. Results from this study showed that during this time period, 36,171 flu-related deaths occurred per year, on average.

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