Daily Practice

Higher

25th December 2025

5 questions · Higher tier · 360 questions in this band

1
Histograms and Frequency Density
Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
2
Comparative and Proportional Pie Charts
A comparative pie chart pair has radii 4 cm and 8 cm. Find the ratio of the totals they represent.
3
Percentiles and Interpercentile Range
Heights of 50 plants (cm): 0 < h <= 10, freq 5, cumulative 5; 10 < h <= 20, freq 20, cumulative 25; 20 < h <= 30, freq 15, cumulative 40; 30 < h <= 40, freq 10, cumulative 50. Estimate the 20th percentile.
4
Estimating from Samples (Higher)
A researcher samples 50 out of 2000 fish in a lake and finds 8 have a particular fin marking. Estimate the number of fish in the lake with that marking.
5
Skewness
A data set has Q1 = 10, median = 18, Q3 = 22. Compare the two halves of the interquartile range and state the type of skew.

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