44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the interquartile range. In your working you must show the lower and upper quaratiles

q1=11

q3 = 33

Step-by-step explanation:

The data set has 44 number of students. The first quartile is 25 % of the numbers in the data set. So

25 % of 44 = 25/100 * 44 = 0.25 * 44 = 11

So the first quartile lies at 11.

Similarly the third quartile lies at the 75 % of the numbers of the data set. So

75 % of 44 = 75/100 * 44 = 0.75 * 44 = 33

So the third quartile lies at 33.