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Preview AQA GCSE style questions on Mode. Click "Show Solution" to see the step-by-step answer.

EasyQuestion 1

[1 marks]

Find the mode of the following data set:\n\n3, 7, 3, 9, 5, 3, 8, 2

MediumQuestion 2

[2 marks]

The ages of students in a drama club are recorded below:\n\n14, 15, 14, 16, 15, 14, 17, 15, 14, 16\n\n(a) Find the mode of the ages. (1 mark)\n(b) What does the mode tell us about this data set? (1 mark)

HardQuestion 3

[3 marks]

A data set has the following values:\n\n2, 5, x, 7, 5, 3, 8, 5, x\n\nGiven that the data set is bimodal with modes of 5 and x, find the possible values of x. Explain your reasoning.

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About Mode in AQA GCSE

The mode is the most frequently occurring value in a dataset. It is the only average that can be used with non-numerical (categorical) data. **Finding the Mode:** Simply identify which value appears most often. **Key Points:** - A dataset can have no mode (if all values appear equally) - A dataset can have multiple modes (bimodal, multimodal) - Mode can be used with words/categories (e.g., favourite colour) **Modal Class:** For grouped data, the modal class is the class interval with the highest frequency. **Examples:** - 2, 3, 3, 4, 5, 5, 5, 6 → mode = 5 (appears 3 times) - 1, 2, 3, 4, 5 → no mode (all appear once) - 2, 2, 3, 3, 4 → bimodal: 2 and 3 **Advantages:** - Easy to find - Not affected by extreme values - Can be used with categorical data **Disadvantages:** - May not exist - May be more than one - Does not use all the data **Exam Tips:** - Check for multiple modes - For grouped data, give the class interval, not a single value