AQA · Mathematics · 8300
GCSE Maths: Averages: mean
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Averages: mean (Corbettmaths Video 53), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the mode of a data set?
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The value that appears most frequently in the data set.
What is the median of a data set?
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The middle value when the data is arranged in order.
How do you calculate the mean of a data set?
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Add all the values together and divide by the number of values.
What is the range of a data set?
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The difference between the largest value and the smallest value.
To find the median when you have an even number of values, you find the ?.
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mean of the two middle values
If the mean of four numbers is 10 and three of them are 9, 11 and 7, what is the fourth number?
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13. (Total must be 40; 9+11+7=27, so 40-27=13)
If the range of a data set is 7 and the smallest value is 4, what is the largest value?
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11. (Range = largest - smallest, so 4 + 7 = 11)
What must you do first before finding the median of a data set?
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Arrange the data in order from smallest to largest.
If a data set has two values that appear equally most often, what term describes this situation?
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The data is bimodal (has two modes).
Can the median of a data set be a value that doesn't appear in the original data?
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Yes, when there is an even number of values, the median is the mean of the two middle values, which may not be in the data set.
Why might the mean not be the most suitable average when a data set contains outliers?
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Because outliers (extreme values) can skew the mean, making it unrepresentative of the typical values in the data set.
What happens to the range of a data set if you add the same number to every value?
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The range stays the same, because the difference between the largest and smallest values doesn't change.
When finding the median of an ordered list with an odd number of values, which position do you select?
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The middle position (for example, the 4th value in a list of 7 values).
Can the mean of a set of positive numbers be negative?
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No, because the sum of positive numbers is positive, so dividing by a positive count gives a positive mean.
If a new value equal to the current mean is added to a data set, what happens to the mean?
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The mean stays the same, because adding a value equal to the mean doesn't change the average.
What is the formula to find the total sum when you know the mean and the number of values?
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Total sum = mean × number of values
When a new value is added to a dataset, what formula gives the new mean?
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New mean = (old total + new value) / new number of values
If the mean of a group and the mean of the whole population are known, what strategy can find the mean of the remaining group?
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Calculate the total for each group using (mean × count), then use the totals to find the remaining group's mean.
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