Explanation:
Let's look at the line graph step by step. The graph shows how many students got each score on a spelling test. The horizontal axis (x-axis) is the score from 0 to 10. The vertical axis (y-axis) is the number of students.
To find the number of students for each score, we look at the points on the line:
- Score 0: 0 students
- Score 1: 0 students
- Score 2: 1 student
- Score 3: 2 students
- Score 4: 4 students
- Score 5: 6 students
- Score 6: 9 students
- Score 7: 11 students
- Score 8: 10 students
- Score 9: 7 students
- Score 10: 5 students
Now let's answer the questions:
1) What was the modal (most common) score?
The modal score is the one with the highest number of students. From the list, score 7 has 11 students, which is the most. So the modal score is 7.
2) How many students scored exactly half-marks?
Half-marks means 5 marks. From the graph, 6 students scored 5.
3) How many students scored less than half-marks?
Half-marks is 5, so less than 5 means scores 0, 1, 2, 3, 4.
Add the students: 0 (score 0) + 0 (score 1) + 1 (score 2) + 2 (score 3) + 4 (score 4) = 7 students.
4) How many students scored more than 8 marks?
More than 8 means score 9 and 10.
Add: 7 (score 9) + 5 (score 10) = 12 students.
5) Which spelling score did exactly 7 students get?
Look for the score where the number of students is 7. From the list, score 9 has 7 students.
6) Answer true, false, or can’t tell:
a) The range of the student’s scores is 10 marks.
Range = highest score - lowest score.
Highest is 10, lowest is 0.
10 - 0 = 10. So this is true.
b) More than half the students scored 7 marks or above.
Total students = 55.
Half of 55 is 27.5, so more than half means more than 27.5, so 28 or more.
Students who scored 7 or above:
Score 7: 11
Score 8: 10
Score 9: 7
Score 10: 5
Total = 11 + 10 + 7 + 5 = 33
33 is more than 27.5. So this is true.
c) The students in the class are good at spelling for their age.
We don’t know the age of the students. We also don’t have a standard to compare to. So we can’t tell. Answer: can’t tell.
d) A fifth of the students scored 7 marks.
A fifth of 55 is 55 ÷ 5 = 11.
Number of students who scored 7 is 11. So this is true.
Final Answer:
1) 7
2) 6
3) 7
4) 12
5) 9
6) a) true, b) true, c) can’t tell, d) true
Parent Tip: Review the logic above to help your child master the concept of line graph worksheet 5th grade free.
