Daily Practice

Higher

28th July 2024

5 questions · Higher tier · 360 questions in this band

1
Box Plots from Cumulative Frequency and Outliers
Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
2
Weighted and Geometric Mean
In a survey, exam scores are weighted by number of candidates: Grade A average 88 (120 candidates), Grade B average 74 (200 candidates), Grade C average 60 (80 candidates). Calculate the weighted mean score across all candidates.
3
Pilot Surveys (Higher)
A pilot survey shows a question takes respondents an average of 4 minutes to answer, but the researcher only allowed 1 minute per question in their timing plan for a 20-question survey. What should the researcher do?
4
Weighted and Chain Base Index Numbers
A cost-of-living index combines three categories with weights: housing 6, food 3, leisure 1. This year's simple index numbers, last year = 100, are housing 104, food 112, leisure 90. (a) Calculate the weighted index number. (b) State, with a reason, whether the overall cost of living has risen or fallen, and by roughly what percentage.
5
Recognising Misleading Graphs (Higher)
A bar chart's vertical axis is truncated to run from 200 to 260. Bar A reaches 210 and Bar B reaches 250. Calculate the ratio of the bars' heights as drawn, and the true percentage difference between the values.

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