Question

o centro histórico de snowy pines acompanhou a quantidade de neve que caiu em sua cidade a cada ano no século passado. este gráfico de caixa mostra os resultados. queda de neve anual (pol.) em que fração das vezes snowy pines conseguiu pelo menos 14 polegadas de neve?

Explanation:

Step1: Understand box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR), with the left edge of the box being the first quartile ($Q_1$) and the right edge being the third quartile ($Q_3$), and the line inside the box being the median. The whiskers extend to the minimum and maximum values within a certain range. We assume the data is uniformly distributed within the box and whiskers for the purpose of finding the fraction.

Step2: Identify relevant values

The total range of data is considered from the minimum to the maximum. Let's assume the data is evenly spread. The box - plot has a range from some minimum value to some maximum value. The total range of possible values is considered as 1 (or 100% of the data points). The value of 14 inches is on the right side of the box. The box ranges from a value (say $Q_1$) to $Q_3$. The part of the box and whisker to the right of 14 inches needs to be considered. If we assume the box represents 50% of the data (IQR) and the whiskers represent the remaining 50% of the data. The box extends from some value less than 14 to 16. The length of the box is from a value (say 8) to 16 (a length of 8 units). The part of the box from 14 to 16 has a length of 2 units. The right - hand whisker also contributes some part. Since the box represents 50% of the data and we are interested in the part of the box from 14 to 16 and the right - hand whisker. The part of the box from 14 to 16 is $\frac{16 - 14}{16 - 8}=\frac{2}{8}=\frac{1}{4}$ of the box. And considering the right - hand whisker, if we assume the data is evenly distributed, the fraction of data that is 14 or more is $\frac{1}{4}$.

Answer:

$\frac{1}{4}$