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Stage 8 - Q1 - 2 marks
18857

What temperature is shown on day three?

Recorded values
Temperature (°C)
0
2
4
6
8
10
12
14
16
18
20
0
1
2
3
4
Day
Hint

Use the plotted point at the stated time.

Stage 8 - Q2 - 2 marks
18858

What is the change from day zero to day one?

Recorded values
Temperature (°C)
0
2
4
6
8
10
12
14
16
18
20
0
1
2
3
4
Day
Hint

Subtract the earlier reading from the later one.

Stage 8 - Q3 - 3 marks
18859

Describe the overall temperature change from the first to the last day. Did it increase every day?

Recorded values
Temperature (°C)
0
2
4
6
8
10
12
14
16
18
20
0
1
2
3
4
Day
Hint

Overall change and monotonic change are different ideas.

Stage 8 - Q4 - 3 marks
18860

Find the greatest one-day increase and identify the interval.

Recorded values
Temperature (°C)
0
2
4
6
8
10
12
14
16
18
20
0
1
2
3
4
Day
Hint

Compare slopes over equal one-day intervals.

Stage 8 - Q5 - 3 marks
18861

Estimate the temperature at day 2.5 using the straight segment. Is it an actual recorded measurement?

Recorded values
Temperature (°C)
0
2
4
6
8
10
12
14
16
18
20
0
1
2
3
4
Day
Hint

Average the adjacent readings only because the time is halfway.

Stage 8 - Q6 - 4 marks
18862

Draw a time series graph for days 0, 1, 2, 3 with temperatures 6, 9, 11, 10°C.

Hint

Time belongs on the horizontal axis.

Stage 8 - Q7 - 4 marks
18863

Series A has readings 8, 12, 10, 16 and series B has 10, 11, 13, 14 at equal daily intervals. Compare their overall changes and ranges.

Hint

Range and overall change happen to agree here, but use their definitions separately.

Stage 8 - Q8 - 4 marks
18864

A plant is 10, 12, 14 and 16 cm tall on four successive days. A pupil says it will definitely be 18 cm the next day. Evaluate this conclusion.

Hint

A trend outside the observed times is a forecast.

Stage 8 - Q9 - 5 marks
18865

Measurements at times 0, 1, 4, 5 hours are plotted at equal horizontal spacings. Explain what is misleading and how to repair the graph.

Hint

Compare the lengths of the time gaps, not the number of observations.

Stage 8 - Q10 - 6 marks
18866

Construct two different five-day integer time series, each with mean 10 and range 8. One must rise every day and the other must not. Explain why mean and range do not determine the order of a series.

Hint

Rearranging a fixed data set preserves mean and range.

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