Daily Practice

Higher

17th April 2025

5 questions · Higher tier · 360 questions in this band

1
Histograms and Frequency Density
A histogram has classes 20-25 (frequency density 4), 25-35 (frequency density 2.4), 35-50 (frequency density 1.6). Find the total number of data values represented.
2
Comparative and Proportional Pie Charts
In a comparative pie chart, Class A (30 pupils) has a football sector of 144 degrees and Class B (60 pupils) has a football sector of 90 degrees. Which class has the greater proportion of pupils choosing football?
3
Percentiles and Interpercentile Range
A data set has an interquartile range of 18. Would the 10-90 interpercentile range usually be smaller or larger than this? Explain.
4
Estimating from Samples (Higher)
A wildlife park has 3 enclosures with 200, 350 and 450 birds (1000 birds in total). A stratified sample of 40 birds is taken proportionally across the enclosures. In the sample taken from the largest enclosure, 12 of the birds sampled are male. Estimate the number of male birds in that enclosure.
5
Skewness
Class X has mean 68 and median 70. Class Y has mean 70 and median 68. Compare the skewness of the two classes' test score distributions.

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