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
Verified Correct Answer: .
Step-by-Step Mathematical Solution
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%
Source: Myschool Past Questions Archive (Record #75923)