Question

the data show the number of hours spent studying per day by a sample of 28 students. use the box-and-whisker plot below to answer parts (a) through (c) below.

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$$\begin{matrix} 1 & 11 & 3 & 1 & 2 & 5 & 1 & 0 & 6 & 2 \\\\ 7 & 4 & 9 & 1 & 9 & 0 & 5 & 5 & 6 & \\\\ 3 & 3 & 2 & 5 & 7 & 5 & 3 & 7 & 7 & \\end{matrix}$$

click the icon to view the box-and-whisker plot.

(a) about 75% of the students studied no more than how many hours per day?

about 75% of the students studied no more than hours per day.
(type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Sort the raw dataset

Using the Five-Number Summary knowledge point

$$ \text{Raw data: } 1, 11, 3, 1, 2, 5, 1, 0, 6, 2, 7, 4, 9, 1, 9, 0, 5, 5, 6, 3, 3, 2, 5, 7, 5, 3, 7, 7 $$

$$ \text{Sorted data (28 values): } 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 9, 11 $$

Calculate the third quartile

Using the Box-and-Whisker Plot knowledge point

$$
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$$

Answer:

About 75% of the students studied no more than <blank>6</blank> hours per day.