Line Graphs 5th Grade Worksheets - Free Printable

Let’s go step by step to answer each question using the line graph.

The graph shows “Spelling Test Scores” for 55 students.
- The x-axis is the score (from 0 to 10).
- The y-axis is the number of students who got that score.

We’ll read the points on the graph carefully:

Score → Number of Students:
- 0 → 0
- 1 → 0
- 2 → 1
- 3 → 2
- 4 → 4
- 5 → 6
- 6 → 9
- 7 → 11 ← highest point!
- 8 → 10
- 9 → 7
- 10 → 5

Let’s double-check total students:
0+0+1+2+4+6+9+11+10+7+5 = let’s add:

1+2=3; +4=7; +6=13; +9=22; +11=33; +10=43; +7=50; +5=55 ✔ Correct.

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Now, answer each question:

1) What was the modal (most common) score?

Modal means the score with the most students. Looking at the graph, the highest point is at score 7, where 11 students scored it. So mode = 7.

✔ Answer: 7

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2) How many students scored exactly half-marks?

Half of 10 marks is 5. So how many scored exactly 5? From graph: 6 students.

✔ Answer: 6

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3) How many students score less than half-marks?

Less than 5 means scores: 0, 1, 2, 3, 4.

From graph:
- 0 → 0
- 1 → 0
- 2 → 1
- 3 → 2
- 4 → 4

Add them: 0+0+1+2+4 = 7 students

✔ Answer: 7

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4) How many students scored more than 8 marks?

More than 8 means scores: 9 and 10.

From graph:
- 9 → 7
- 10 → 5

Total: 7 + 5 = 12 students

✔ Answer: 12

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5) Which spelling score did exactly 7 students get?

Look for y-value = 7. That happens at score 9.

(Also check: any other? Score 9 → 7, yes. Others are different.)

✔ Answer: 9

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6) True, False, or Can’t Tell?

a) *The range of the student’s scores is 10 marks.*

Range = highest score – lowest score.

Highest score anyone got: 10
Lowest score anyone got: 2 (since 0 and 1 have 0 students — no one scored those)

Wait — actually, look again: the graph starts at 0, but 0 students scored 0 or 1. The first actual score with students is 2.

But technically, if we consider possible scores from 0 to 10, and someone scored 2 and someone scored 10, then range = 10 - 2 = 8.

BUT — sometimes “range” in such contexts means max possible minus min possible, which would be 10 - 0 = 10.

However, since no one scored 0 or 1, the actual range of achieved scores is 10 - 2 = 8.

But the statement says “the range of the student’s scores is 10 marks.” If they mean the full scale, maybe true. But strictly speaking, range of data set is max value present minus min value present.

Min score with students: 2
Max score with students: 10
→ Range = 8

So statement is False.

Wait — let me check definition: In statistics, range = maximum value in dataset minus minimum value in dataset.

Here, minimum score achieved by any student is 2 (since 0 and 1 have 0 students), maximum is 10.

So range = 10 - 2 = 8 ≠ 10 → False

✔ a) False

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b) *More than half the students scored 7 marks or above.*

Total students = 55
Half of 55 = 27.5 → so more than 27.5 means 28 or more.

Scores 7 or above: 7, 8, 9, 10

Number of students:
- 7 → 11
- 8 → 10
- 9 → 7
- 10 → 5

Total = 11+10+7+5 = 33

33 > 27.5 → Yes, more than half.

✔ b) True

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c) *The students in the class are good at spelling for their age.*

This is subjective. We don’t know what age they are, or what’s considered “good”. The graph just gives numbers — no context about expectations or age group.

So we can’t tell from the data alone.

✔ c) Can’t tell

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d) *A fifth of the students scored 7 marks.*

Total students = 55
One fifth of 55 = 55 ÷ 5 = 11

How many scored 7? → 11

Yes! Exactly 11 students scored 7 → which is 1/5 of 55.

✔ d) True

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Final Answers:

1) 7
2) 6
3) 7
4) 12
5) 9
6) a) False, b) True, c) Can’t tell, d) True

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Final Answer:
1) 7
2) 6
3) 7
4) 12
5) 9
6) a) False, b) True, c) Can’t tell, d) True