tmua.co.uk TMUA Mock Paper 1 · Question 20

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tmua.co.uk TMUA Mock Paper 1 · Q20

Paper 1StatisticsSequences & series

Let the “bimode” of a data set be equal to the regular mode if there is a singular most common value, but equal to the mean of the modes if there is no unique modal value. What is the sum of all real values of $x$ for which the mean, median and bimode (in any order) of the seven numbers

-2,\ 1,\ 1,\ 9,\ 9,\ 12,\ x

form an arithmetic sequence?

-46

5

10

15

20

25

61

66

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