AQA · Mathematics · 8300
GCSE Maths: Averages: range
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Averages: range (Corbettmaths Video 57), 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 in a data set?
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The value that appears most frequently in the data set.
What is the median in a data set?
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The middle value when the data are arranged in order (or the average of the two middle values if there is an even number of data points).
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 and smallest values.
To find the range, subtract the ? value from the largest value.
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smallest
If the range is 7 and the smallest value is 4, what is the largest value?
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11. Range = largest − smallest, so 7 = largest − 4, giving largest = 11.
If the median of 11 values is 1.85 and only one value equals 1.85, how many values are below 1.85?
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5. The median is the 6th value; since it equals 1.85, exactly 5 values must be below it.
Which average (mean or median) is typically more suitable when a data set contains outliers?
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The median, because it is not affected by extreme values (outliers) unlike the mean.
Does the range change if you add the same number to every value in a data set?
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No, the range stays the same because both the largest and smallest values increase by the same amount.
Why can an outlier make the mean unsuitable as an average?
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An outlier can skew the mean much higher or lower than the typical values, making it unrepresentative of the data.
When calculating the median, what must you do first?
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Arrange the data in order from smallest to largest.
How does adding a value equal to the current mean affect the mean?
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The mean stays the same.
Can the range be calculated with negative numbers?
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Yes, find the difference between the largest and smallest values, treating negatives correctly (e.g., 5 − (−8) = 13).
If a data set has an even number of values, how do you find the median?
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Take the mean of the two middle values.
If you know the mean of n numbers, how do you find their total sum?
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Multiply the mean by n. (Total = mean × number of values)
To convert a test score to a percentage, what calculation do you perform?
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Divide the score by the maximum possible marks and multiply by 100. (e.g., score ÷ 40 × 100 for a test out of 40)
If the mean of group A is x and the mean of group B is y, can you find the overall mean by calculating (x + y) ÷ 2?
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Only if both groups have the same number of members. Otherwise, you must use a weighted average based on group sizes.
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