Let's solve each question step by step using the
line graph provided in the worksheet. The graph shows the number of students who scored each mark (from 0 to 10) on a spelling test out of 10 marks, with a total of
55 students.
---
Step 1: Understand the Graph
- The
x-axis represents the
score (from 0 to 10).
- The
y-axis represents the
number of students who got that score.
- Each point on the graph corresponds to how many students achieved that particular score.
We will read the values from the graph:
| Score | Number of Students |
|-------|---------------------|
| 0 | 0 |
| 1 | 0 |
| 2 | 1 |
| 3 | 2 |
| 4 | 4 |
| 5 | 6 |
| 6 | 9 |
| 7 | 11 |
| 8 | 10 |
| 9 | 7 |
| 10 | 5 |
Let’s verify the total:
0 + 0 + 1 + 2 + 4 + 6 + 9 + 11 + 10 + 7 + 5 =
= 1 + 2 = 3; +4 = 7; +6 = 13; +9 = 22; +11 = 33; +10 = 43; +7 = 50; +5 =
55 ✔
So, data is consistent.
---
Now, Answer the Questions:
---
####
1) What was the modal (most common) score?
The
mode is the score with the highest frequency.
From the table, the highest number of students is
11, which corresponds to a
score of 7.
✔ Answer: 7
---
####
2) How many students scored exactly half-marks?
"Half-marks" likely means scores like 0.5, 1.5, etc., but the graph only shows
whole numbers (0 to 10). There are
no points for half-marks.
So,
zero students scored exactly half-marks.
✔ Answer: 0
---
####
3) How many students scored less than half-marks?
"Less than half-marks" means less than
5 marks (since 5 is half of 10).
So we need to sum the number of students who scored
0, 1, 2, 3, or 4.
From the table:
- 0: 0
- 1: 0
- 2: 1
- 3: 2
- 4: 4
Total = 0 + 0 + 1 + 2 + 4 =
7
✔ Answer: 7
---
####
4) How many students scored more than 8 marks?
More than 8 → scores of
9 and 10
- 9: 7 students
- 10: 5 students
Total = 7 + 5 =
12
✔ Answer: 12
---
####
5) Which spelling score did exactly 7 students get?
Look at the table: Which score has
7 students?
→ Score
9 has 7 students.
✔ Answer: 9
---
####
6) True, False, or Can’t Tell?
##### a) The range of the student’s scores is 10 marks.
- Range = Highest score − Lowest score = 10 − 0 =
10
- So, yes, the
range is 10 marks.
✔ Answer: True
---
##### b) More than half the students scored 7 marks or above.
Total students = 55
Half of 55 = 27.5 → so "more than half" means >27.5 → at least 28 students.
Now count students who scored
7 or above:
- 7: 11
- 8: 10
- 9: 7
- 10: 5
Total = 11 + 10 + 7 + 5 =
33
33 > 27.5 → Yes, more than half.
✔ Answer: True
---
##### c) The students in the class are good at spelling for their age.
This is
subjective. The graph gives data, but we don't know what "good" means for their age group. No benchmark is given.
So, we
can’t tell based on this data alone.
✔ Answer: Can’t tell
---
##### d) A fifth of the students scored 7 marks.
A fifth of 55 = 55 ÷ 5 =
11
Number of students who scored 7 =
11
So, yes,
exactly one-fifth.
✔ Answer: True
---
✔ Final Answers:
1)
7
2)
0
3)
7
4)
12
5)
9
6)
a)
True
b)
True
c)
Can’t tell
d)
True
Let me know if you'd like this formatted for printing or as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of worksheet on line graphs.
