Question

this line plot shows the number of hours students in a class spent studying in a week. select the three true statements about the line plot. most of the students studied for less than 5 hours. none of the students spent more than 5 1/2 hours studying. the same number of students spent 4 hours as spent 5 hours studying. the greatest number of students studied for 4 3/4 hours.

Explanation:

Step1: Count data points per category

Count the number of dots for each study - time value on the line - plot.

Step2: Analyze "Most of the students studied for less than 5 hours"

Count the number of dots for values less than 5 hours ($4,4\frac{1}{4},4\frac{1}{2},4\frac{3}{4}$) and compare with those 5 hours or more. There are fewer dots for 5 hours or more, so this statement is false.

Step3: Analyze "None of the students spent more than $5\frac{1}{2}$ hours studying"

There are dots at $5\frac{3}{4}$ and 6 hours, so this statement is false.

Step4: Analyze "The same number of students spent 4 hours as spent 5 hours studying"

Count the dots at 4 hours and 5 hours. There are 2 dots at 4 hours and 2 dots at 5 hours, so this statement is true.

Step5: Analyze "The greatest number of students studied for $4\frac{3}{4}$ hours"

The highest number of dots is at $4\frac{3}{4}$ hours, so this statement is true.

Answer:

• The same number of students spent 4 hours as spent 5 hours studying.
• The greatest number of students studied for $4\frac{3}{4}$ hours.