We've been through it before, and we'll go through it again. Snow in April is more common in Central New York than you might think. On average, Utica sees snow in 8 out of every 10 years. Snow falls in more than 9 out of every 10 years in the higher elevations in the month of April.
On average, Utica sees 2.3" of snow in April. In some years, the snow can add up. The record snowfall for the month of April is 18.5" in 1979. This is also the year with the largest snowfall in April in Utica. YOu can see the top five snowfalls for the Utica region at the top of this page. Keep in mind, the hilltops have seen much large accumulations over the years.
The climate is changing in our area too, and the fringe of the winter season is not as productive for snow production. The 30 year average between 1971-2000 vs 1981-2010 has fallen from 3.9" to 2.3". While that may seem like a small change, it's not insignificant. The frequency of events is less, but the snow events tend to be more dramatic (feast vs famine) in the 2000s vs the 1970s.