According to a recent report, the range of retiree health savings targets...

... rose between 6%‒21% from 2014 to 2015. The savings required for a 50% chance of covering health care expenses in retirement would be:

• $68,000 for a 65-year-old man
• $89,000 for a 65-year-old woman

In order to have a 90% chance to cover health care expenses in retirement, the savings required would be:

• $124,000 for the 65-year-old man
• $140,000 for the 65-year-old woman

Source: "Needed Health Savings in Retirement Going Up Again," Employee Benefit Research Institute (EBRI), October 22, 2015, http://www.ebri.org/pdf/PR1145.Hlth-Svgs.22Oct15.pdf