Daily Practice

Higher

27th October 2025

5 questions · Higher tier · 360 questions in this band

1
Box Plots from Cumulative Frequency and Outliers
A cumulative frequency graph for 100 test scores gives Q1 = 40, median = 58, Q3 = 70, minimum = 5, maximum = 98. Determine which of the minimum and maximum should be plotted as individual outliers.
2
Weighted and Geometric Mean
A cafe's average daily takings are weighted by the number of days open at each level: 200 pounds (3 days) and 300 pounds (5 days). Find the weighted mean daily takings.
3
Pilot Surveys (Higher)
A researcher pilots a survey on 10 friends before sending it to 500 randomly selected customers. Explain one weakness of this choice of pilot sample, beyond its small size.
4
Weighted and Chain Base Index Numbers
The price of a bus ticket was 2.00 pounds in 2020 and 2.50 pounds in 2023. Calculate the simple index number for 2023, using 2020 = 100.
5
Recognising Misleading Graphs (Higher)
A newspaper graph shows a crime rate rising sharply, using only the last 3 months of data out of 5 years of records, with a vertical axis truncated from 30 to 36 crimes per 1000 people. Give two separate reasons this graph could be misleading.

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