Question

the box plot below represents some data set. what percentage of the data values are between 110 and 170?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The lower quartile ($Q_1$) is at the left - hand side of the box and the upper quartile ($Q_3$) is at the right - hand side of the box. The median is the line inside the box. The whiskers extend to the minimum and maximum values within 1.5 * IQR of the quartiles. The entire data set is divided into four equal parts by the quartiles, with 25% of the data in each part.

Step2: Identify quartile positions

Assume that 110 is $Q_1$ and 170 is $Q_3$. The inter - quartile range contains the middle 50% of the data.

Answer:

50%