05. DATA HANDLING
Explanation:
4, 3, 4, 3, 4, 6, 4
Arrangge data in ascending order: 1, 2, 3, 4, 4, 5, 6
\(\text{Mean}= \frac{(6 + 2 + 5 + 4 + 3 + 4 + 1)}{7} = \frac{25}{7} = 3.57\)
\(\text{Median} = \frac{(7 + 1)}{2}^\text{th} \text{term} = 4^{\text{th}} \text{term} = 4\)
\(\text{Mode} = 4\)
Arrangge data in ascending order: 1, 2, 2, 2, 3, 3, 4
\(\text{Mean} = \frac{(1 + 2 + 2 + 2 + 3 + 3 + 4)}{7} = \frac{17}{7} = 2.43\)
\(\text{Median} = \frac{(7 + 1)}{2}^{\text{th}} \text{term} = 4^{\text{th}} \text{term} = 2\)
\(\text{Mode} = 2\)
Arrangge data in ascending order: 2, 2, 3, 3, 3, 7, 8
\(\text{Mean} = \frac{(2 + 2 + 3+ 3 + 3 + 7 + 8)}{7} = \frac{28}{7} = 4\)
\(\text{Median} = \frac{(7+1)}{2}^{\text{th}} \text{term} = 4^{\text{th}} \text{term} = 3\)
\(\text{Mode} = 3\)
Arrangge data in ascending order: 3, 3, 4, 4, 4, 4, 6
\(\text{Mean} = \frac{(3 + 3 + 4 + 4 + 4 + 4 + 6)}{7} = \frac{28}{7} = 4\)
\(\text{Median} = \frac{(7+1)}{2}^{\text{th}} \text{term} = 4^{\text{th}} \text{term} = 4\)
\(\text{Mode} = 4\)
So option 4 is the correct answer.
