Question

Find the upper quartile for the data: $9,11,15,19,17,13,7.$

• A. $17$
• B. $16$
• C. $12$
• D. None of these

Answer 1

The correct option is A $17$

Upper quartile is the median of the upper half of the data set.

Given data set is $9,11,15,19,17,13,7$

Arranging the data set in the ascending order we get $7,9,11,13,15,17,19$

Number of values in the data set is $n=7$

Upper quartile is given by $Q_3=\frac{3}{4}(n+1)=\frac{3}{4}(7+1)=\frac{3}{4}\left(8\right)=6^{th}value$

Therefore, the upper quartile is $17$