Question

the histogram shows the time mr. lopezs students spent studying for the final exam. which statement is correct about the time mr. lopezs students spent studying for the final exam? time spent studying frequency minutes 0 - 20 21 - 40 41 - 60 61 - 80 81 - 100 101 - 120 14 12 10 8 6 4 2 0 four students did not study for the final exam. the data distribution is symmetrical. most students spent an hour or less studying for the exam. the students who spent the most time studying got the lowest scores on the exam.

Explanation:

Step1: Analyze the 0 - 20 minutes bar

The frequency of the 0 - 20 minutes bar is 4, but this doesn't mean 4 students didn't study (0 minutes), just that they studied 20 minutes or less.

Step2: Check data - distribution symmetry

The left - hand side of the histogram (0 - 40 minutes) has a higher frequency than the right - hand side (41+ minutes), so it's not symmetrical.

Step3: Calculate number of students studying an hour or less

The number of students studying 0 - 20 minutes is 4, and 21 - 40 minutes is 10, and 41 - 60 minutes is 6. The sum of students studying an hour or less is \(4 + 10+6=20\). The total number of students is \(4 + 10+6 + 2+1=23\). So most students spent an hour or less studying.

Step4: Analyze relationship between study time and scores

The histogram only shows study time, not scores, so we can't say that students who spent the most time studying got the lowest scores.

Answer:

Most students spent an hour or less studying for the exam.