Daily Practice

Higher

30th September 2025

5 questions · Higher tier · 360 questions in this band

1
The Normal Distribution
The masses of 500 apples are normally distributed with mean 120 g and standard deviation 10 g. Estimate the number of apples with a mass between 110 g and 130 g.
2
The Binomial Distribution
In a binomial distribution, n = 4 and p = 0.5. Find P(X = 4).
3
Quality Assurance and Control Charts
A control chart has a central line at 250 ml and action limits at 238 ml and 262 ml. Find the standard deviation used to set these limits.
4
Spearman's Rank Correlation
Using the data in the previous question, find Spearman's rank correlation coefficient.
5
Spreadsheets and ICT (Higher)
A spreadsheet has the heights, in cm, of 25 plants in cells D2:D26. Give the formula for the range of heights.

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