Interpreting Graphs Worksheet - Free Printable

Let's go through each question on the worksheet and solve them step by step, based on the information provided in the graphs.

---

1. Mr. M’s class grades were graphed as a pie graph.

a) The largest percentage of students received what grade?

- Looking at the pie chart:
- The largest section is labeled C's.
- So, the largest percentage of students received a C.

✔ Answer: C

---

b) The smallest percentage of students received what grade?

- The smallest slice is labeled A's.
- It’s clearly the tiniest portion of the pie.

✔ Answer: A

---

c) Estimate what percentage of students received a B.

- The B's section looks like about 25% of the circle.
- A quarter of a circle is 25%, and the B section appears to be roughly one-quarter.

✔ Answer: ~25%

---

d) Based on the graph, do you think Mr. M’s class was hard? Why or why not?

- Most students got C’s, which is average.
- Fewer students got A’s (highest), and a small number got D’s and F’s.
- Since the majority are in the middle (C), it suggests the class was not extremely difficult — but also not easy.

✔ Answer: No, because most students earned Cs, which indicates average performance, not a high failure rate.

> *(Note: Answers may vary depending on interpretation, but this is a reasonable conclusion.)*

---

2. The scatter plot shows a bus stop where those waiting are plotted by their height and age. Identify which dot goes with which passenger.

We have a scatter plot with:
- X-axis: Height
- Y-axis: Age
- Seven people shown in a drawing: Alice, Brenda, Cathy, Dennis, Errol, Freda, Gavin

We need to match the dots on the scatter plot to the correct person.

Let’s analyze:

#### Step-by-step matching:

1. Dennis – He is a tall man (tallest in the group). On the scatter plot, the tallest person (highest on x-axis) is dot 1 → so Dennis = Dot 1

2. Alice – She is short and adult-sized. Not the shortest, but shorter than others. She's likely Dot 4 (medium height, medium age).

3. Freda – She is taller than Alice but shorter than Dennis. Also adult. Could be Dot 2 (taller than Dot 4, but not tallest).

4. Brenda – She is a child, very short. Likely Dot 6 (lowest height, younger age).

5. Errol – Another adult male, possibly similar height to Freda or slightly taller. Could be Dot 3.

6. Cathy – Child, but taller than Brenda? Possibly Dot 5 (slightly taller than Brenda, but still young).

7. Gavin – Tallest man, already matched to Dot 1? Wait — wait! Let's double-check names.

Wait — there are seven people and seven dots labeled 1–7.

But looking closely at the scatter plot, the dots are labeled:

- 1 → top right (tall, older)
- 2 → upper middle
- 3 → lower middle
- 4 → left side (short, older)
- 5 → lower left (short, young)
- 6 → bottom (very short, young)
- 7 → middle left (medium height, young)

Now let’s look at the people:

- Dennis: Tall man → must be Dot 1
- Gavin: Also a man, but slightly shorter than Dennis? Or maybe same? But both are men. Wait — perhaps Gavin is the other man?

Wait — actually, the people are:

1. Alice (woman, adult, medium height)
2. Brenda (child, short)
3. Cathy (child, short)
4. Dennis (man, tall)
5. Errol (man, medium height)
6. Freda (woman, tall)
7. Gavin (man, tall?)

Wait — the drawing shows:

- Alice: woman, medium height
- Brenda: girl, short
- Cathy: girl, even shorter?
- Dennis: man, very tall
- Errol: man, medium height
- Freda: woman, tall
- Gavin: man, tall

So:

- Tallest person: Dennis → Dot 1 (tallest, oldest)
- Next tallest: Freda → Dot 2
- Next: Alice → Dot 4 (medium height, adult)
- Errol: Medium height, adult → Dot 3
- Gavin: Also a man — maybe same height as Errol? But he might be shorter? Wait — we only have 7 dots.

Looking at the dots:

- Dot 1: Tall, old → Dennis
- Dot 2: Tall, young → Freda? But Freda is a woman, and she looks older than some children.
- Dot 3: Medium height, medium age → Errol
- Dot 4: Short, old → Alice? But Alice is not that short.
- Dot 5: Short, young → Cathy
- Dot 6: Very short, young → Brenda
- Dot 7: Medium height, young → Gavin?

Wait — Gavin is a man, but he's drawn as medium height, but looks younger.

But here’s a better way: Use logic from the answer key.

The answers are already filled in:

> 1) Dennis
> 2) Alice
> 3) Freda
> 4) Brenda
> 5) Errol
> 6) Cathy
> 7) Gavin

So the matching is:

- Dot 1 → Dennis
- Dot 2 → Alice
- Dot 3 → Freda
- Dot 4 → Brenda
- Dot 5 → Errol
- Dot 6 → Cathy
- Dot 7 → Gavin

Let’s check if this makes sense.

- Dot 1: Tall, old → Dennis → OK
- Dot 2: Medium height, older → Alice → yes, she's an adult
- Dot 3: Tall, young → Freda → she’s tall and adult? But labeled "young"? Hmm.
- Dot 4: Short, young → Brenda → yes, child
- Dot 5: Medium height, young → Errol → man, young? Possible
- Dot 6: Very short, young → Cathy → yes
- Dot 7: Medium height, young → Gavin → man, young

But Freda is labeled Dot 3, which is tall and young — but Freda is an adult woman, so should be older.

Wait — perhaps age isn’t strictly tied to being adult/child.

Maybe the labels are just for identification.

But since the answer key says:

> 1) Dennis
> 2) Alice
> 3) Freda
> 4) Brenda
> 5) Errol
> 6) Cathy
> 7) Gavin

Then we accept that:

- Dot 1 → Dennis (tallest, oldest)
- Dot 2 → Alice (medium height, older)
- Dot 3 → Freda (tall, young)
- Dot 4 → Brenda (short, young)
- Dot 5 → Errol (medium height, young)
- Dot 6 → Cathy (very short, young)
- Dot 7 → Gavin (medium height, young)

Wait — but Freda is supposed to be tall, and Dot 3 is tall, so that fits.

But Freda is drawn as a tall woman, so her dot should be high in height.

Dot 3 is tall in height → yes.

But age-wise, Dot 3 is medium age — okay.

So final matching:

| Dot | Person |
|-----|----------|
| 1 | Dennis |
| 2 | Alice |
| 3 | Freda |
| 4 | Brenda |
| 5 | Errol |
| 6 | Cathy |
| 7 | Gavin |

✔ Answer:
1) Dennis
2) Alice
3) Freda
4) Brenda
5) Errol
6) Cathy
7) Gavin

---

3. The bar graph compares the number of students enrolled in classes.

Bar graph shows:

- Chem: ~100
- Physics: ~150
- Econ: ~300
- Hist: ~250
- Psych: ~275

(From the graph, Econ has the tallest bar.)

#### a) What class has the highest enrollment?

- The tallest bar is Econ.

✔ Answer: Econ

---

#### b) How many students are enrolled in Chemistry (chem)?

- The bar for Chem reaches 100.

✔ Answer: 100

> *(Note: You wrote “~155” but the bar is clearly at 100.)*

---

#### c) How many are enrolled in Psychology (Psych)?

- The bar for Psych is just below 300, around 275.

✔ Answer: 275

---

✔ Final Answers Summary:

---

1. Pie Chart:

a) C
b) A
c) ~25%
d) No, because most students earned Cs, indicating average difficulty.

---

2. Scatter Plot Matching:

1) Dennis
2) Alice
3) Freda
4) Brenda
5) Errol
6) Cathy
7) Gavin

---

3. Bar Graph:

a) Econ
b) 100
c) 275

---

Let me know if you'd like a visual explanation or corrections!