Q. 3.158 - Elementary Statistics

Question

Fill in the blanks: Roughly, when arranged in increasing order, the uppermost $25\%$ of the dataset are greater than or equal to _______ .

Step-by-Step Solution

Answer

When arranged in increasing order, the uppermost $25\%$ of the dataset are greater than or equal to the third quartile.

Step 1: Given Information

We have to find out that when arranged in increasing order, the uppermost $25\%$ of the dataset are greater than or equal to which values.

Step 2: Explanation

Now, as we know that the interquartile range is the difference between upper limit and lower limit i.e., the difference between third quartile and first quartile.

$IQR=Q_3-Q_1$

where $Q_3$ is the third quartile in which values are greater than or equal to $75\%$ of the values and which shows that uppermost  $25\%$ data set are greater than or equal to $Q_3$.

Hence, it shows that answer is third quartile range.