According to the cited research, resolution makers were about ten times more likely to achieve their goals than non-resolution makers.
The statistic comes from research on New Year's behavior-change attempts, especially the work of John C. Norcross and Dominic J. Vangarelli. One frequently repeated result is that 46% of participants making common resolutions—such as losing weight, exercising or quitting smoking—were likely to succeed, described as over ten times the success rate of people deciding to make comparable changes at other times of year.
The comparison is important: “non-resolution makers” does not mean people who never set goals. It refers to people attempting life changes outside the New Year period. The finding suggests that a clearly defined annual starting point may provide extra motivation, social support or commitment.
The result should not be read as proof that any resolution is ten times as effective. Success varied by goal and by how success was defined, and later studies have found mixed evidence. The original claim is best reported as “over ten times,” while “ten times” is the quiz-friendly rounded answer.