Download and practise with this A-Level Statistics 2024 question paper. Useful for revision, practice, and exam preparation in Zimbabwe.
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This is the A-Level Statistics question paper from 2024. Use it for exam practice under timed conditions.
DATA PRESENTATION, REGRESSION AND CORRELATION AND TIME SERIES
MR SHARE +263784089807
24/06/2024
STATISTICS A'LEVEL 2024 -U6 TEST 1
1. Tafadzwa made observation of the maximum temperature $t^{\circ} \mathrm{C}$, on 50 days. Her results are summarised by $\sum t=910$ and $\sum(t-\bar{t})^{2}=876$, where $\bar{t}$ represent the mean of 50 observations. Calculate $\bar{t}$ and the standard deviation of the observation.
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2. The following table gives the marks, out of 75 , in a pure mathematics examination taken by 234 students.
Marks | $1-20$ | $21-30$ | $31-40$ | $41-50$ | $51-60$ | $61-70$
Frequency | 40 | 34 | 56 | 54 | 29 | 21
(a) State the least and greatest value of the marks.
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(b) State the mode.
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(c) Draw a cumulative frequency graph and use it to estimate the median and semi-interquartile range.
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(d) Draw a histogram and frequency polygon on the same graph paper to represent these results.
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(e) Calculate estimate of the mean mark and the standard deviation.[4]
3. Define the following giving one example on each;
(a) Trend component,
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(b) Seasonal component,
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(c) Cycle component and,
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(d) Irregular component.
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4. The table below shows demand of a computer software from 2021 to 2023.
Year | Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4
2021 | 37 | 24 | 62 | 80
2022 | 77 | 95 | 94 | 133
2023 | 148 | 155 | 128 | 161
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