Daily Practice

Higher

18th January 2026

5 questions · Higher tier · 360 questions in this band

1
Histograms and Frequency Density
A class interval has width 5 and frequency 20. Find the frequency density.
2
Comparative and Proportional Pie Charts
Two pie charts represent totals of 25 and 100. The smaller has radius 3 cm. Find the radius of the larger.
3
Percentiles and Interpercentile Range
Class A has a 10th percentile of 42 marks and a 90th percentile of 88 marks. Class B has a 10th percentile of 55 marks and a 90th percentile of 79 marks. Compare the spread of the middle 80% of marks in each class.
4
Estimating from Samples (Higher)
In a sample of 60 shoppers, 15 said they preferred own-brand products. A shopping centre has 3000 visitors a day. Estimate how many of the day's visitors prefer own-brand products.
5
Skewness
A data set has minimum 5, Q1 = 12, median 15, Q3 = 30, maximum 34, and mean 18.5. Using both the mean-median comparison and the quartile comparison, describe the skewness.

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