Answer:
Only statements I and III are true
Explanation:
In a histogram, the base of each of the histogram bars represents an interval and the height of the histogram is the number of values that fall within the interval (frequency)
Adding up the totals of all the bar heights gives the total number of values
In this case it is 3 + 5 + 6 + 4 + 2 = 20
There are 5 values fall in the range 40-59 and 6 values that fall in the range 60-79. So the total data values from 40-79 is the sum of these two ie 5 + 6 = 11. The percentage of values in this range = 11/20 = 55%
So statement I is true
Statement II cannot be determined as true since all we know are that 6 data values fall between 60-79 but we have no idea how many fall between 60-70 since it is not one of the intervals.
The number of values less than 60 = number of values in range 20-39 + number of values in range 30-59 and this is 3 + 5 = 8
8/20 = 40% so statement III is true