Question

Use the image to answer the question.

An illustration shows a number line ranging from 0 to 12 in one unit increments. Each number is labeled and represented with a tick mark. A box plot is placed above the number line. The box is divided into two sections.
The first section of the box plot extends from 1.5 to 3. The second section of the box plot extends from 3 to 7.5. A line starts at the left side of the first section of the box plot and extends from 1.5 to 0, where it ends with a short vertical line. Another line starts at the right side of the second section of the box plot and extends from 7.5 to 12, where it ends with a short vertical line.

Evita constructs this box plot to show how many home runs each of her baseball teammates hit this year.

What values are the first and third quartiles of this dataset?

1 answer

The first quartile (Q1) would be the value where 25% of the data falls below it. In this case, it corresponds to the lower end of the second section of the box plot, which is at 3.

The third quartile (Q3) would be the value where 75% of the data falls below it. In this case, it corresponds to the upper end of the second section of the box plot, which is at 7.5.
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