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Higher

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6th May 2026

5 questions · Higher tier · 360 questions in this band

  1. 1
    Histograms and Frequency Density

    A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.

  2. 2
    Comparative and Proportional Pie Charts

    Two pie charts represent totals of 40 and 160. If the smaller chart has radius 2 cm, find the radius of the larger chart.

  3. 3
    Percentiles and Interpercentile Range

    A cumulative frequency graph shows 60 values. Which position corresponds to the 80th percentile?

  4. 4
    Estimating from Samples (Higher)

    A quality-control sample of 40 bottles from a batch of 5000 finds the mean volume per bottle is 498 ml. Estimate the total volume, in litres, of the whole batch.

  5. 5
    Skewness

    A box plot has a short whisker on the left of the box and a long whisker on the right, with the median line close to the left edge of the box. What type of skew is this?

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