Daily Practice

Higher

8th November 2025

5 questions · Higher tier · 360 questions in this band

1
Box Plots from Cumulative Frequency and Outliers
A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
2
Weighted and Geometric Mean
Find the weighted mean of 4 (weight 1) and 10 (weight 3).
3
Pilot Surveys (Higher)
In a pilot of 20 people, 6 people left a question about income blank. What does this suggest, and what might the researcher change?
4
Weighted and Chain Base Index Numbers
A shop's total sales were 5000 pounds in Month 1, 5400 pounds in Month 2, and 5832 pounds in Month 3. Calculate the chain-base index number for Month 2 (based on Month 1) and for Month 3 (based on Month 2).
5
Recognising Misleading Graphs (Higher)
A company reports that sales doubled using a bar chart where the 2023 bar is drawn 2 cm tall and the 2024 bar is drawn 4 cm tall, but the axis (which starts at 0) is labelled only at the top: 2023 = 150,000 pounds and 2024 = 210,000 pounds. Explain the inconsistency and calculate the true percentage increase.

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