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. studying times (hours) 4 4\frac{1}{4} 4\frac{1}{2} 4\frac{3}{4} 5 5\frac{1}{4} 5\frac{1}{2} 5\frac{3}{4} 6 most of the students studied for less than 5 hours. none of the students spent more than 5\frac{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\frac{1}{4} hours. the least number of hours students spent studying is 4 hours.

Explanation:

Step1: Analyze number of students per - time value

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

Step2: Evaluate first statement

Most students studied for less than 5 hours. Count dots for values less than 5 ($4,4\frac{1}{4},4\frac{1}{2},4\frac{3}{4}$) and for values 5 and greater. There are more dots for values less than 5, so this statement is false.

Step3: Evaluate second statement

Some students spent more than $5\frac{1}{2}$ hours studying (there are dots at $5\frac{3}{4}$), so this statement is false.

Step4: Evaluate third statement

Count dots at 4 hours and 5 hours. There are 2 dots at 4 hours and 2 dots at 5 hours, so the same number of students spent 4 hours as spent 5 hours studying. This statement is true.

Step5: Evaluate fourth statement

The greatest number of students studied for $4\frac{3}{4}$ hours (the highest stack of dots), not $4\frac{1}{4}$ hours. So this statement is false.

Step6: Evaluate fifth statement

The least number of hours students spent studying is 4 hours (the left - most non - zero value on the plot). This statement is true.

Answer:

The same number of students spent 4 hours as spent 5 hours studying.
The least number of hours students spent studying is 4 hours.