Foundation
7th March 2025
- 1Skewness by Inspection
A box plot shows a long whisker on the left and a short whisker on the right, with the median close to the right of the box. What type of skew does this suggest?
- 2Percentiles
A data set of 50 exam scores has the 20th percentile at 42 marks and the 80th percentile at 78 marks. Explain what these two values tell you about the middle 60% of scores.
- 3Crude Rate and Rates of Change
A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
- 4Spearman's Rank Interpretation
A researcher finds rs = 0.99 between a town's number of ice cream vans and its number of sunburn cases, and concludes the vans cause sunburn. Explain why this conclusion may be wrong.
- 5Conditional Probability (Foundation)
A drawer has 7 black socks and 5 white socks. Two socks are taken without replacement. Find P(second sock is black given the first sock was black).
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