Higher November 2018 Paper 5 Q15

OCRHigherCurrent spec5 marksCumulative Frequency

15 The cumulative frequency graph shows information about the marks scored by a group of 80 students in a test.

Cumulative frequency curve for marks from 30 to 100, rising from 0 at 30 to 80 at 90 and level after that
(a) Find the interquartile range. [2]
(b) The ratio of the number of students passing the test compared to failing the test is 4 : 1.
Find the minimum mark needed to pass the test. [3]