Question

fill in the blank 3 points. 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. 1 11 0 8 6 6 7 2 4 3 6 0 2 6 4 0 5 6 4 1 7 0 8 6 1 5 2 0. box - and - whisker plot. (a) about 75% of the students studied no more than how many hours per day? (b) what percent of the students studied more than 3.5 hours per day? (c) you randomly select one student from the sample. what is the likelihood that the student studied less than 0.5 hour per day?

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the third quartile ($Q_3$) represents the value below which 75% of the data lies.

Step2: Analyze part (a)

Since about 75% of the students studied no more than a certain number of hours, we look at the $Q_3$ value. From the box - and - whisker plot, $Q_3 = 5$.

Step3: Analyze part (b)

The median ($Q_2$) of the data set divides the data into two halves. If we assume that the value 3.5 is at the median (a visual or data - based assumption if the median is around 3.5), then 50% of the data is above the median. So the percent of students who studied more than 3.5 hours per day is 50%.

Step4: Analyze part (c)

Count the number of data points less than 0.5. There are 2 data points less than 0.5 out of 28 data points. The likelihood (probability) $P=\frac{2}{28}\approx 0.0714$ or 7.1% when expressed as a percentage.

Answer:

(a) 5
(b) 50
(c) 7.1