Hint
Use the stated units and precision. Divide the total of all observations by the number of observations.
Worked solution
(a)
Divide the total of all observations by the number of observations.
The sum is 60; dividing by 5 gives \(12\).
Answer: \(12\)
(b)
Locate the middle ordered observation.
The third of the five ordered observations is 9.
Answer: \(9\)
(c)
Find the observation with greatest frequency.
Only 9 is repeated, so it is the mode.
Answer: \(9\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Divide the total of all observations by the number of observations.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Locate the middle ordered observation.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Find the observation with greatest frequency.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.