Well, if you mean normal as a synonym for typical or common, then a couple of times a week is where most adult, premenopausal women sit. Or, those that were willing to take part in surveys, which could skew things.

If you mean normal as a synonym for healthy, then normal is whatever frequency meets your sexual needs without interfering with the rest of your life.

Women tend to masturbate more as an enhancement of their sex life, supposedly (I didn't do the studies, so I can only say so much). Which means that you might masturbate more often when having a satisfying sex life with partners. Men tend to have an upper limit to ejaculation frequency that tops out with a couple of times a day for most men before they can't get an erection; the body just says nope and takes a rest. Three, maybe four ejaculations is where the average guy can crank some out, and most can't sustain that every day.

Mind you, men can orgasm without ejaculation! But it ain't easy to learn.

Women tend to be limited more by sensitivity and friction. The tissues of vulvae, vaginas, and clitorises gets abraded at some point, and with the elevated sensitivity brought on by orgasm, the typical woman is going to hit a similar limit as men in terms of sessions, but a higher number of orgasms may be involved per session. But! Those tissues recover quickly, so women are usually able to sustain their preferred frequency no matter how many a day it is, as the next day will have things back to typical conditions (again, on average).

So, if you're an every day kinda gal, don't worry. You're within known boundaries of frequency. As long as it isn't messing with the rest of your life, have fun and let the other people think what they will.