The frequency table shows the marks scored by 32 students in a test.
| Marks scored | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Number of students | 2 | 3 | 4 | 4 | 4 | 4 | 5 | 3 | 2 | 1 |
a(i) Find the mean of the marks
(ii) Find the median of the marks
(iii) Find the mode of the marks
b. Percentage of those who scored at least 8 marks
a(i) Σfx =2 + 6 +12 + 16 + 20 + 24 + 35 + 24 +18 +10 = 167
Mean = \(\frac{Σfx}{Σf}\) =\(\frac{167}{32}\) = 5.22
ii. Median = Middle Position Value = \(\frac{\text{N}}{2}\)th position
= \(\frac{32}{2}\) position = 16 th position
.: Median = 5
iii. Mode = most people => highest frequency
.: Mode = 7
b. People scoring at least 8 marks => frequency of x > = 8 = 3 + 1 + 2 = 6
Percentage = \(\frac{6}{32}\) x 100% = 18.75%
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