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Analysing Measurement Data

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Analysing Measurement Data

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📚 Part 1: Multiple Choice & Short Selection

1. A set of lengths (cm) is: 12, 15, 15, 16, 45. Which measure of centre best represents the typical length?

Mean

Median

Mode

Range

2. Temperatures (°C) recorded over a week: 12, 13, 13, 14, 16, 22, 28. Which describes the distribution?

Symmetric

Right-skewed (long tail to the right)

Left-skewed (long tail to the left)

Uniform

3. You are analysing many continuous time measurements (e.g. stop‑watch times). Which visualisation is most appropriate to show the distribution?

Histogram

Bar graph (categorical)

Pie chart

Scatter plot

4. Check all that apply: Which of the following raise concerns about a dataset's reliability?

Many unexplained outliers

Very small sample size

Consistent measurement method recorded

Missing units or unclear context

✏️ Part 2: Short Answers & Analysis

5. Compute summary statistics for these object lengths (cm): 102, 98, 100, 97, 103.
Write the mean, median and range, then one sentence interpreting which value you would use to represent a "typical" length and why.
6. A scatter plot shows a general upward trend with spread around the trend. Sketch a line of best fit for a positive relationship and write a prediction: if x = 10, estimate y. Comment briefly on uncertainty.
7. A published bar chart of average speeds starts its vertical axis at 40 km/h (not 0), making small differences look large. Explain in 2–3 sentences why this can be misleading and one way to improve the graph.
8. Running times (s): 52, 49, 51, 50, 120. Identify any outlier, suggest two plausible reasons it occurred, and state whether you would include it when calculating the mean. Explain briefly.
9. You make a prediction from a group dataset. How confident are you? List two factors that increase or decrease your confidence (one factor per line).

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