The problem isn't even the stats, the people who put them together likely are skilled at there job and work hard to make them as accurate as possible, But there's so much distrust and misinformation that gets spread on purpose to make you distrust stats so that others can continue to profit.
If you're smart enough and want to, you can take any data set and word it to fit any agenda. To think people won't is just plain ignorant.
Of course you can, but being overly skeptical of every single bit of data you come across is a little ridiculous. Especially data that has been held up as accurate from multiple sources for literal decades, like the fact that school/mass shootings in the US and way way higher than any other country.