Nice one!
Let me fix up the code for you as it does not compile. I've also fixed some logic error and reduced the number or lines required:
import random
number = random.randint(1, 10)
guess = 0
numberguess = 0
while guess != number:
guess = int(input("enter here a numbers between 1-10\n"))
numberguess = numberguess + 1
if number > guess:
print("Bigger")
elif number < guess:
print("Lower")
elif number == guess:
print("Bingo! It took you exactly " + str(numberguess) + " guesses!")
Now make it so that the player needs to guess the number in ceil(log2(range)) + 1 steps, where range is the max - min + 1 (both the upper and lower limit being inclusive) of the numbers randomly generated.
For instance, if the range is 10 (1..10), then the user must guess the right number in ceil(log2(10)) + 1 guesses, which is 4.
There is a guaranteed strategy to win, let's see if players can figure it out. :)
You can also try to make a High Scores feature. You can just store the high scores in memory, or... save it in a file so you can compare your scores later as well!
I'd recommend scoring information holding the range and how many steps it took. This is because a narrower range is easier to guess so it wouldn't be fair to compare just the steps without knowing if they were measured on the same or different ranges.