Question

In which quartile, $75\%$ of observations are less than $Q_3$ and $25\%$ are larger?

• A. lower
• B. upper
• C. middle
• D. $Q_3$

Answer 1

The correct option is B upper

In upper quartile, $75\%$ of observations are less than $Q_3$ and $25\%$ are larger.
Example: $2,5,5,6,8,10,11$
Here the median is the middle number $=6$
So, the upper quartile is the median of the upper half of the data.
Then, the upper quartile of the first half will be which is $75\%$ of the given data less than $Q_3$: $8,10,11$
So, the remaining $25\%$ numbers can be considered as larger.