NHS Tayside had the highest number followed by NHS Lanarkshire  and NHS Greater Glasgow and Clyde.
The figures also revealed that more than 560,000 people missed at least one NHS outpatient appointment in 2014/15.
Each missed appointment is thought to cost the NHS Â£120, putting the total cost to the health service at Â£100m.
The figures were obtained by the Scottish Conservatives through a Freedom of Information request.
The statistics revealed:
The Scottish Tories have previously suggested those who fail to show for appointments on a certain number of occasions could face some sanction from the health board.
The party has also urged the Scottish government look at more innovative ways of reminding patients to turn up at appointments.
Scottish Conservative leader Ruth Davidson said: "Missing a hospital appointment can happen to anyone, and for a range of reasons.
"But when you're getting to the point where you are missing five or more in the space of just a year, something really has to be done.
"That is costing the NHS thousands of pounds, wreaking havoc with hospital planning, and of course potentially harming the health of the patient involved.
"We've been critical of the NHS in the past for cancelling appointments and procedures, so it's only fair we do everything we can to make sure patient no-shows are limited too.
"We need to find ways to ensure people turn up at the appointments that are made and stop showing contempt for our NHS, doctors and nursing staff."
Health Secretary Shona Robison said the percentage of patients missing appointments has decreased slightly over the last five years.
She added: "However, it is important that all health boards understand why patients are not attending appointments and look at ways to reduce this.
"The Scottish government is committed to supporting health boards to deliver secure messaging services, including reminders.
"Health Scotland also recently published a report looking at those who did not attend appointments over a 10 year period from 2002/03 to 2011/12.
"We welcome this report which will provide boards with further learning on the issue of non-attendance."

Dawn Clements urged people to get vaccinated after the death of England and Birmingham City footballer Jeff Hall from the disease in 1959.
Mrs Clements, of Kidderminster, died at the end of last month, aged 79.
The British Polio Fellowship said there are many people alive and well "who owe her a huge debt of gratitude."
Ted Hill, the charity's chief executive also commended Mrs Clements for helping shine a light on post-polio syndrome (PPS), which is a neurological condition that can occur in people who have had polio.
"It can be difficult to imagine now a time in the UK when polio was killing and paralysing thousands like Jeff," he said.
"Dawn worked to see that no one else had to go through what she did and latterly helped us with our PPS work."
Mr Hall's unexpected death at the peak of his career aged 29 shocked the nation. Take-up of the polio vaccine had been slow in the 1950s but Mrs Clements' campaign is credited with inspiring people to get vaccinated.
The charity head described Mrs Clements, who was diagnosed with lung cancer three years ago, as "an example to us all" He also passed on his condolences to her surviving husband Alan Clements.
Mr Clements thanked charities as well as the people of Birmingham for "assisting Dawn in all of her remarkable work".
"What she did 50 years ago during the worst time of her life still matters to people. Dawn would want me to thank the fans of Birmingham City and all those for all of their help and support," he said.

The 48-year-old ex-Oxford manager has guided the Cobblers to promotion from League Two this season, after a series of financial problems at the club.
Wilder is currently on a one-year rolling contract with the League Two side.
Jimmy Phillips has been in charge of Bolton since Neil Lennon left in March but could not prevent relegation.
Wanderers chairman Ken Anderson said on Monday that the club had a shortlist of three managers from applications they had received and hoped to make an appointment soon.
The Championship's bottom side have also confirmed that assistant manager Steve Walford and first-team coach Garry Parker have left the club.
Nearly 17,000 patients in Scotland failed to show up for an NHS hospital appointment on at least five occasions last year.
[NEXT_CONCEPT]
Tributes have been paid to a woman credited with raising awareness about the dangers of polio following the death of her footballer husband.
[NEXT_CONCEPT]
Northampton's Chris Wilder is Bolton's preferred choice to be their next manager, BBC Radio Manchester reports.