Video Transcript
If a cumulative histogram were
drawn from the data given in the table, what would the highest cumulative frequency
be?
In this question, we are given a
grouped frequency table and asked to determine what the highest cumulative frequency
would be in the cumulative histogram drawn from the data. We might be tempted to sketch the
cumulative histogram of the data. However, this is not necessary.
We can instead recall that the
cumulative frequency is the running total of the frequencies. This means that the highest
cumulative frequency will be the running total of all of the frequencies. In other words, it is the sum of
all of the frequencies, which is just the total population size.
Therefore, the highest cumulative
frequency will be four plus 12 plus 34 plus 32 plus 26, which we can calculate is
equal to 108.