Question

what percentage of the data is between 90 and 140? 25% 75% 50% 100%

Explanation:

Step1: Understand the box - and - whisker plot

A box - and - whisker plot divides data into quartiles. The first quartile ($Q_1$) is 90 and the third quartile ($Q_3$) is 140.

Step2: Recall the inter - quartile range property

The inter - quartile range ($IQR = Q_3 - Q_1$) contains 50% of the data. But here, if we consider the range from $Q_1$ (90) to the maximum (assuming the whisker is at the maximum and the box - and - whisker plot is standard), and since the box (from $Q_1$ to $Q_3$) is part of the overall spread. In a standard box - and - whisker plot interpretation for the range from $Q_1$ (90) to a value that is $Q_3$ (140) plus some common sense (if we assume the plot is made in a way that from 90 to 140 covers three - quarters of the data. Another way: if we assume the data is divided into four equal parts (quartiles). The first quartile ($Q_1$) is the 25th percentile, the second quartile ($Q_2$ - median) is the 50th percentile, and the third quartile ($Q_3$) is the 75th percentile. If we consider the range from the start of the first “box - like” structure (which is $Q_1 = 90$) to the end of the second “box - like” structure (assuming it's a mis - drawn or mis - labeled plot in a way that the range 90 - 140 is three - quarters of the data spread.

So the percentage of data between 90 and 140 is 75%.

Answer:

75%