Other shapes for cumulative distributions are:

1. shaped if the data were skewed to the left
2. if the distribution has a bell-shaped or normal distribution.
3. a shaped distribution indicates all values of x are similarly frequent. This is known as a uniform distribution and, although theoretically useful, is comparatively rare.

R can produce similar graphs as follows:

# enter (collated) data f=c(47, 12, 3, 2, 1); n=c(1, 2, 3, 5, 12) par(mfrow=c(1, 2)) # do 2 plots side by side plot(n, cumsum(f)/sum(f), type='h', col='dark green', xlim=c(0, 12), ylim=c(0, 1), main='Line diagram', xlab='number females/colony', ylab='Proportion') plot(c(min(n),n), c(0, cumsum(f)/sum(f)), type='s', col='dark green', xlim=c(0, 12), ylim=c(0, 1), main='Step plot', xlab='number females/colony', ylab='Proportion') par(mfrow=c(1, 1)) # reset plot defaults

Gave:

Note:
• We used cumsum to obtain cumulative frequencies, and dividing by the total frequency, sum(f), to get cumulative relative frequencies.