Question

If 169 meters is the longest length, then _______ meters is the shortest

Answer 1

Answer: If 169 meters is the longest length, then 154 meters is the shortest length.

Explanation:

The given figure show a box plot.

In a box plot the box is lies between the first quartile Q₁ and third quartile Q₃ . The line between Q₁ and Q₃ represent the median and Q₁ is always less than Q₃.

The end point of the line left side of the box represents the minimum value of the data and the end point of the line right side of the box represents the maximum value of the data.

From the figure we can say that,

$Q_1=158$

$Median=Q_2=163$

$Q_3=167$

Minimum value is 154 and the maximum value is 169.

Since it is given that the 169 meters is the longest length then the shortest length is 154.