Serious crime in Utah increased nearly 3 percent in 1987 over the previous year, according to a report released this week by the Department of Public Safety.

The report indicated 94,176 crimes were committed in 1987, compared to 91,512 in 1986.

Crimes showing the largest increases were homicide, 8 percent, and burglary and theft, both of which increased by 4 percent.

Fifty-four people were victims of homicide in 1987, compared to 50 the year before.

Decreases were seen in rape, down 12 percent; assault, down 11 percent; and robbery, down 9 percent.

Burglary, which has increased constantly for the past 10 years, continued its upward trend, with 15,864 burglaries reported in 1987, 647 more than in 1986.

Although serious crime increased, arrests decreased by nearly 8 percent. Police made 91,486 arrests in 1987, compared to 99,237 the year before.

Utah's crime rate, which measures the number of serious crimes per 1,000 people, was 56 in 1987.

Salt Lake County had the highest crime rate, with 77 crimes per 1,000 people. It was followed by Weber, 66.4; Daggett, 66.2; Grand, 56.4; and Summit, 49.2. Piute County had the lowest crime rate in 1987, 8.6 serious crimes per 1,000 people. Rounding out the lowest crime-rate counties were Garfield, 11.6; Morgan, 13.1; Millard, 15.8; and Wayne, 16.

Davis County's crime rate was 35.5, and Utah County's was 43.8, according to the statistical report.