I went skydiving about 20 years ago at a place that doesn't do tandem jumps. Instead they teach you how to do skydiving properly, and send 2 instructors up with you, and they hold onto you while you're in free fall, one of them giving you signals to coach you through your arch position, pulling your chute for you, then landing way earlier than you and coaching you down through a radio in your helmet.

They had very strict rules, and very well defined processes that you had to demonstrate an understanding of before you could jump.

This place had an impeccable safety record. No major injuries in their history, and they had been doing this for a very long time. Just a handful of rolled ankles when people were landing... perhaps from flaring too early or something like that. The lead instructor was coming up on jump # 10,000 when I went.

I can't speak for other skydiving centres, but I very rarely hear of skydiving accidents in general. Seems like it's a lot safer than people think to me. Although I'm sure there are a few shitty places out there that aren't as safe as the place I went to.