Q. 3.157 - Elementary Statistics

Question

Fill in the blanks: Roughly, when arranged in increasing order, the middle $50\%$ of a data set are found between _______ and _______ .

Step-by-Step Solution

Answer

when arranged in increasing order, the middle $50\%$ of a data set are found between upper quartile and lower quartile.

Step 1: Given Information

We have to find out that when data is arranged in increasing order then $50\%$ of the data values are found between which values.

Step 2: Explanation

Now, as we know that the interquartile range is the spread of the middle $50\%$ of the data values.

which give $IQR=Q_3-Q_1$,

That's why it will be found between upper quartile and lower quartile.