A lot if things actually influence how many eggs a hen lays. Her age, breed, type and amount of food, and sunshine/light, etc.
Mine pretty consistently do not lay from the end of fall until around February. Some people 'force' egg laying, the same as you can force flowers in hot houses, by giving them lights in their coops to increase the appearance of day length.
The reason that I don't do that, even though it would give me more eggs, is that it will burn the chicken out, and I think shorten their lives. I like to accept what my hens lay, then let them retire with dignity and live with the flock through their natural lives.
The funny thing is, I've had very old hens, which I don't expect to lay eggs anymore, lay us eggs! Maybe it's the gentle living. :-)
I've never counted, either.
Actually, I wouldn't be able to tell the eggs from one, from another. I'd have to count them all for a year, and average the number by the number of hens.
At the price of eggs, I should go back into the egg business!
Love All Life, Thank You For Posting! :)