AQA · Mathematics · 8300
GCSE Maths: Averages: median
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Averages: median (Corbettmaths Video 50), 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.
When finding the median of an even number of values, what do you do?
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Take the mean (average) of the two middle values.
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.
How do you calculate the range of a data set?
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Subtract the smallest value from the largest value.
If the range of a list is 7 and the smallest value is 4, what is the largest value?
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11. (Range = largest − smallest, so largest = range + smallest = 7 + 4 = 11)
If five numbers have a mean of 8, what is their total sum?
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40. (Sum = mean × count = 8 × 5 = 40)
If the median of 11 values is 1.85m and only one value equals 1.85m, how many values are below 1.85m?
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5 values. (With 11 values, the median is the 6th value. If it's the only one at that height, 5 must be below and 5 above.)
What is the modal value in the list: 5, 5, 7, 7, 7, 8, 8, 9?
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7 (it appears 3 times, more than any other value).
To find the median of a data set, what must you do first?
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Arrange the data in order from smallest to largest.
How do you find the median when you have an odd number of values?
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Take the middle value after arranging the data in order.
What happens to the range of a data set when you add the same amount to every value?
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The range stays the same.
Why might the mean not be the most suitable average when a data set contains an outlier?
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The mean is affected by extreme values (outliers), which can make it unrepresentative of the typical values in the data set.
If the mean of n values is known, and you know n−1 of those values, how can you find the missing value?
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Multiply the mean by n to get the total, then subtract the sum of the known values.
If Buster scored a mean of 13 points over 5 rounds, what is his total score after 5 rounds?
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65 points (13 × 5 = 65).
To find the minimum score needed in a final round to achieve a target mean, what calculation do you perform?
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Multiply the target mean by the total number of rounds, subtract the current total, then find the remaining score needed.
When a new member joins a group, how do you calculate the new mean?
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Find the old total (old mean × old count), add the new value, then divide by the new count.
For a set of six numbers, how many numbers must be at or below the median value?
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At least three numbers. The median of six numbers is the mean of the 3rd and 4th values when ordered.
The median of an even number of values is the ? when the data is ordered.
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mean of the two middle values
If the mean mark for boys is 76%, the mean for the whole class is 78%, and there are 14 boys in a class of 30, what is the first step to find the mean for girls?
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Calculate the total marks: boys' total = 14 × 76, whole class total = 30 × 78, then subtract to find girls' total.
When finding the median of the Smith family ages (64, 60, 29, 36), what is the first step?
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Order the ages from smallest to largest: 29, 36, 60, 64. The median is then the mean of the two middle values.
The ? is the value that appears most frequently in a data set.
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mode
The ? of a data set is the difference between the highest and lowest values.
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range
If a test is out of 40 marks and the pass mark is 75%, what score is needed to pass?
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30 marks (75% of 40 = 0.75 × 40 = 30).
If the mean number of visitors over 6 days is 500, what is the total number of visitors?
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3000 visitors (500 × 6 = 3000).
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