4400 Higher June 2006 Paper 4 Q11

EdexcelHigherOld spec6 marksCumulative Frequency

11 A sample of 40 stones was collected.
The cumulative frequency graph gives information about their masses.

Cumulative frequency graph against mass in grams from 60 to 120 (axis broken below 60): the curve starts at (60, 0), passes through about (70, 10), (80, 20) and (90, 29), and ends at (115, 40)
(a) Find an estimate of the median mass. (1)
(b) Find an estimate of the interquartile range of the masses. (2)
(c) How many stones had masses between the lower quartile and the upper quartile? (1)
(d) Find an estimate of the number of stones which had masses of more than 100 grams. (2)