Marks 1 2 3 4 5 Number of students m + 2 m - 1 2m - 3 m + 5 3m - 4 The table shows the distribution of marks scored by some students in a test. (a) If the m...

The table shows the distribution of marks scored by some students in a test.

(a) If the mean mark is \(3\frac{6}{23}\), find the value of m.

(b) Find the : (i) interquartile range

(ii) probability of selecting a student who scored at least 4 marks in the test.