The marks obtained out of 10 by a group of 20 students in a short quiz are given in the grouped form below:
Marks (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
Frequency (f)| 1 | 1 | 2 | 3 | 4 | 3 | 2 | 2 | 1 | 0 | 1
(i) Write the data in ungrouped form, listing every observation in ascending order.
(ii) Verify that the total number of observations equals 20.
(iii) Using your ungrouped list, find the mean mark scored by the students.