The following table shows the distribution of test scores in a class.

Scores	1	2	3	4	5	7	8	9	10
No of pupils	1	1	5	3	\(k^{2} + 1\)	6	2	3	4

(a) If the mean score of the class is 6, find the : (i) value of k (ii) median score.

(b) Draw a bar chart for the distribution.

(c) If a pupil is picked at random, what is the probability that he/ she will score less than 6?