Hint
Use the stated units and precision. Combine the first stem and leaf using the supplied key.
Worked solution
(a)
Combine the first stem and leaf using the supplied key.
The first leaf gives 51.
Answer: \(51\)
(b)
Use the final stem and leaf, not just the leaf digit.
The last leaf gives 65.
Answer: \(65\)
(c)
Locate both middle observations in the ordered leaves.
There are six values; average the third and fourth, 53 and 57, giving \(55\).
Answer: \(55\)
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: Combine the first stem and leaf using the supplied key.
- 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: Use the final stem and leaf, not just the leaf digit.
- 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: Locate both middle observations in the ordered leaves.
- 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.