Question

A box-and-whisker plot. The number line goes from 10 to 65. The whiskers range from 20 to 60, and the box ranges from 40 to 50. A line divides the box at 45.
What percentage of data points do the two whiskers contain?
25%
30%
50%
75%

Answer 1

In a box-and-whisker plot, the whiskers extend to the minimum and maximum values of the dataset, while the box represents the interquartile range (IQR), which contains the middle 50% of the data.

Given that the whiskers in your plot extend from 20 to 60, and the box ranges from 40 to 50, the line dividing the box at 45 indicates the median. The box represents the middle 50% of the data, which leaves the whiskers to contain the other 50%.

Since the box contains 50% of the data (25% below the first quartile and 25% above the third quartile), the two whiskers together contain the remaining 50% of the data points.

So, the percentage of data points that the two whiskers contain is **50%**.