Answer :
Final answer:
The third quartile (Q3) usually has a higher value than the second decile because it represents the 75th percentile of a dataset. However, the provided context, in which Q3 is lower than the second decile, contradicts this.
Explanation:
In the domain of Mathematics, particularly Statistics, the third quartile (Q3) and the second decile are related to the division of a dataset into equal parts. In your question, you asked 'What is the value of Q3 if the 2nd decile is 84?' The 2nd decile represents the 20th percentile of the data set, marking a point below which 20% of the data fall. Q3, on the other hand, is the third quartile, marking the 75th percentile of the data set. The value of Q3 would usually be higher than the 2nd decile because Q3 represents a point in the dataset where 75% of the values fall below it.
A provided example context gives us a maximum value of 77, a Q1(First quartile) of 64.5, a Q2(Second quartile or median) of 66, and a Q3(Third quartile) of 70, which appears to contradict the given context for your question, as the third quartile value (70) is lower than the 2nd decile (84). Thus, without further context, it is impossible to accurately to answer your question.
Learn more about Quartiles and Deciles here:
https://brainly.com/question/31330538
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