(a)(i) Mean = \(\frac{\sum fx}{\sum f} = \frac{167}{32}\)
= \(5.21875 \approxeq 5.22\)
(ii) By inspection, the average of the numbers in the 16th and 17th position give the median
= \(\frac{5 + 5}{2} = 5\)
(iii) Mode = 7 marks having the largest frequency.~(b) Students who scored at least 8 marks = Those who scored 8, 9, 10.
Total number of students that scored at least 8 = 3 + 2 + 1 = 6.
\(%age = \frac{6}{32} \times 100% = 18.75%\)
