Every A level Geography specification requires statistical skills, both in the written papers and in the independent investigation. The DfE subject content asks for descriptive statistics of central tendency and dispersion, measures of difference and association, and inferential statistics; board specifications name the tests, for example Spearman's rank correlation and the chi-squared test (AQA 7037), with t-tests also listed by Pearson Edexcel. This material trains those calculations and, just as importantly, what the results mean.
The calculation questions give you all the data you need. You rank two variables, handle tied values by giving them the average of the ranks they occupy, find the sum of d², and calculate Spearman's rank correlation coefficient. You calculate chi-squared from observed and expected frequencies, find the degrees of freedom and compare the result with critical values that are stated in the question. You work out a Mann–Whitney U value for two independent samples, a standard deviation using the stated formula, and an interquartile range using a stated method for the quartiles.
Interpretation matters as much as arithmetic. You decide whether a result is significant at the 0.05 or the 0.01 level, and what rejecting a null hypothesis actually means. You meet the classic errors as distractors: using the wrong number of degrees of freedom, dividing by n³ rather than n³ − n, applying chi-squared when expected frequencies fall below 5, and claiming that a significant correlation proves one variable causes the other. You also choose between Spearman's rank, chi-squared and Mann–Whitney U for a given investigation, and write a correct null hypothesis.
The material offers a quiz with fully worked explanations, flashcards for the formulas and rules, and a printable written sheet of longer calculations to complete by hand, with space to state the null hypothesis, compare with critical values and draw a conclusion. Critical values are always supplied, because tables differ slightly between sources and the skill being practised is using them correctly.
It pairs well with the fieldwork investigation material in this category: one covers how to collect good data, this one what to do with it.
Practice material written by Zestly, based on the geographical skills in the DfE GCE AS and A level subject content for geography (2014) and board specifications such as AQA A-level Geography 7037, section 3.4.2.4 (statistical skills), and Pearson Edexcel A level Geography 9GE0, Appendix 1. Critical values are given in each item.
On a beach, 40 pebbles are classified by shape: very angular 18, angular 9, rounded 8, very rounded 5. The null hypothesis is that pebbles are spread equally across the four classes. Using $\chi^2 = \sum \frac{(O - E)^2}{E}$, what is the value of chi-squared?
9.4
Expected frequency for each class = 40 ÷ 4 = 10. Contributions: (18 − 10)²/10 = 6.4; (9 − 10)²/10 = 0.1; (8 − 10)²/10 = 0.4; (5 − 10)²/10 = 2.5. Total χ² = 6.4 + 0.1 + 0.4 + 2.5 = 9.4. Forgetting to divide by E gives 94.
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