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 s...

Question 1 Report

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?