The value of third quartile (upper quartile) of data is 40.
A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations.
Here, 25, 25, 29, 31, 33, 37, 38, 42, 46
Third upper Quartile Q₃ = 3(n+1)÷4
= 3(9+1)/4
= 0.75 × 10
= 7.5th term
7.5th term = 7th term + 0.5×(8th term - 7th term)
= 38 + 0.5 X (42-38)
= 38 + 0.5 X 4
= 38 + 2
= 40
Thus, the value of third quartile (upper quartile) of data is 40.
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