Question

question
the box plot below represents some data set. approximately what percentage of the data values are greater than 48?
answer attempt 1 out of 2
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Explanation:

Step1: Understand box - plot quartiles

In a box - plot, the box represents the inter - quartile range (IQR). The left edge of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right edge of the box is the third quartile ($Q_3$). The whiskers represent the rest of the data.

Step2: Estimate quartile positions

Assume the box - plot is evenly spaced within the box for estimation purposes. The value of 48 is approximately at the third - quartile ($Q_3$) position.

Step3: Calculate percentage

The third quartile divides the data such that 75% of the data is less than or equal to it. So the percentage of data values greater than 48 is approximately $100 - 75=25\%$.

Answer:

25%