Worksheet with a line plot of science test scores and related questions for students.

Let’s go through each question one by one, using the line plot titled “Science Test Scores.”

First, remember:
- Each “X” on the line plot represents one student.
- The numbers below (88%, 89%, etc.) are the test scores.
- We count how many X’s are above each score to answer the questions.

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1. How many students received a score of 94%?

Look at 94% on the number line. Count the X’s above it.
There are 3 X’s above 94%.
→ Answer: 3

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2. What was the highest score in the class?

Look for the rightmost score that has an X above it.
The farthest right with an X is 99%.
→ Answer: 99%

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3. What was the lowest score in the class?

Look for the leftmost score that has an X above it.
The farthest left with an X is 88%.
→ Answer: 88%

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4. How many students received a score in the 80s?

Scores in the 80s = 88%, 89%, 90% — wait! Actually, “in the 80s” means from 80% to 89%. But looking at the graph, the only scores shown starting from 88% up. So we include:

- 88% → 4 X’s
- 89% → 5 X’s
- 90% → 2 X’s ← Wait! 90% is NOT in the 80s. It’s in the 90s.

So only 88% and 89% are in the 80s.

Count:
- 88%: 4 students
- 89%: 5 students
Total = 4 + 5 = 9

→ Answer: 9

*(Note: Some might think 90% is included, but no — 80s means 80–89.)*

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5. How many students received a score in the 90s?

Scores in the 90s = 90% to 99%

List them:

- 90% → 2 X’s
- 91% → 0
- 92% → 0
- 93% → 0
- 94% → 3 X’s
- 95% → 0
- 96% → 0
- 97% → 2 X’s
- 98% → 1 X
- 99% → 1 X

Add them:
2 + 3 + 2 + 1 + 1 = 9

Wait — let me double-check:

90%: 2
94%: 3
97%: 2
98%: 1
99%: 1
→ 2+3=5; 5+2=7; 7+1=8; 8+1=9 → Yes, 9

→ Answer: 9

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6. How many students scored 93% or less?

That means all scores from 88% up to and including 93%.

From the graph:

- 88%: 4
- 89%: 5
- 90%: 2
- 91%: 0
- 92%: 0
- 93%: 0

Add: 4 + 5 + 2 = 11

→ Answer: 11

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7. How many students are in Mr. Bradley’s science class?

We need to add up ALL the X’s on the entire graph.

Go score by score:

- 88%: 4
- 89%: 5
- 90%: 2
- 91%: 0
- 92%: 0
- 93%: 0
- 94%: 3
- 95%: 0
- 96%: 0
- 97%: 2
- 98%: 1
- 99%: 1
- 100%: 0 (no X)

Now add:

Start: 4 + 5 = 9
9 + 2 = 11
11 + 3 = 14
14 + 2 = 16
16 + 1 = 17
17 + 1 = 18

Wait — did I miss any?

Let me list again clearly:

88: 4
89: 5 → total so far: 9
90: 2 → 11
94: 3 → 14
97: 2 → 16
98: 1 → 17
99: 1 → 18

Yes, total = 18 students

→ Answer: 18

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8. Mr. Bradley decides to give each student two bonus points on their last test... Explain how you could change the graph...

If every student gets +2 points, then every score goes up by 2%.

For example:
- A student who got 88% now has 90%
- 89% → 91%
- 90% → 92%
- 94% → 96%
- 97% → 99%
- 98% → 100%
- 99% → 101% ← but since max is probably 100%, maybe cap at 100%? The problem doesn’t say, but typically tests don’t go over 100%. However, the original graph goes to 100%, so perhaps we assume scores can go to 101%? Or maybe just shift everything and extend the axis.

But the question says: “Explain how you could change the graph”

So here’s what to do:

- Move every X two spaces to the right (because each score increases by 2).
- For example, the 4 X’s at 88% move to 90%.
- The 5 X’s at 89% move to 91%.
- The 2 X’s at 90% move to 92%.
- The 3 X’s at 94% move to 96%.
- The 2 X’s at 97% move to 99%.
- The 1 X at 98% moves to 100%.
- The 1 X at 99% moves to 101% — so we’d need to add 101% to the number line if allowed, or cap it at 100% (but the problem doesn’t specify capping).

Since the original graph stops at 100%, and 99% + 2 = 101%, we should probably extend the number line to 101% to show that score.

Also, note: after shifting, some scores may have more X’s stacked (like 90% will now have the old 88% group plus whoever was already there — but originally 90% had 2, and now 88%’s 4 move there, so 90% would have 4 + 2 = 6? Wait NO — because we’re moving ALL scores, not adding to existing ones.

Actually, when you add 2 points to everyone, you’re reassigning each student’s score. So the new distribution is just the old one shifted right by 2.

So:

Old 88% → New 90%
Old 89% → New 91%
Old 90% → New 92%
Old 94% → New 96%
Old 97% → New 99%
Old 98% → New 100%
Old 99% → New 101%

And scores like 91%, 92%, 93%, 95%, 96% had zero before — now they might get some from lower scores.

Specifically:

New 90%: comes from old 88% → 4 students
New 91%: from old 89% → 5 students
New 92%: from old 90% → 2 students
New 96%: from old 94% → 3 students
New 99%: from old 97% → 2 students
New 100%: from old 98% → 1 student
New 101%: from old 99% → 1 student

All other scores (like 93%, 94%, 95%, 97%, 98%) would have 0 unless someone moved into them — but in this case, no one moves into 93%, 94%, etc., because the jumps are exact.

So to update the graph:

- Erase all current X’s.
- Place 4 X’s at 90%
- 5 X’s at 91%
- 2 X’s at 92%
- 3 X’s at 96%
- 2 X’s at 99%
- 1 X at 100%
- 1 X at 101% (so extend the number line to 101%)

Alternatively, if the test caps at 100%, then 99% + 2 = 101% becomes 100%, so you’d combine the 98% and 99% groups at 100%: 1 + 1 = 2 at 100%.

But since the problem doesn’t mention capping, and the original graph includes up to 100%, it’s safer to assume we extend to 101% to be accurate.

However, in most school contexts, scores don’t exceed 100%, so likely we cap at 100%. Let’s check the problem statement: it says “everyone scored an 88% or higher” and the graph goes to 100%, so probably 100% is the max.

Therefore, for the student who had 99%, adding 2 makes 101%, which should be recorded as 100% (capped).

Similarly, 98% + 2 = 100% → also capped at 100%.

So:

- Old 98% (1 student) → 100%
- Old 99% (1 student) → 100% (capped)
→ So 100% now has 1 + 1 = 2 students

Other shifts:

- 88% → 90%: 4
- 89% → 91%: 5
- 90% → 92%: 2
- 94% → 96%: 3
- 97% → 99%: 2

So new graph:

- 90%: 4
- 91%: 5
- 92%: 2
- 96%: 3
- 99%: 2
- 100%: 2 (from 98% and 99%)

And remove all others.

So explanation:

“To update the graph, move each X two spaces to the right to represent the +2 bonus points. If a score goes over 100%, cap it at 100%. For example, students who scored 98% or 99% will both end up at 100%. Then redraw the X’s at their new positions.”

→ This is the explanation part.

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Now, compiling final answers:

Final Answer:
1. 3
2. 99%
3. 88%
4. 9
5. 9
6. 11
7. 18
8. To update the graph, move each X two spaces to the right to reflect the +2 bonus points. If a score exceeds 100%, record it as 100%. For example, students who scored 98% or 99% will both be shown at 100%. Redraw the X's at their new score positions accordingly.