histograms Worksheets - Free Printable

Let’s go through each question step-by-step using the histograms provided.

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First Histogram (Gifts)

This histogram shows the number of students who received a certain number of gifts. The x-axis is “gifts” (0–10), and the y-axis is “students”.

Bars represent ranges:
- 0–2 gifts → height = 2 students
- 2–4 gifts → height = 3 students
- 4–6 gifts → height = 3 students
- 6–8 gifts → height = 3 students
- 8–10 gifts → height = 4 students

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#### 1) How many students received between 0 and 2 gifts?

Look at the first bar (0–2). The height is 2 → 2 students.

✔ Answer: 2

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#### 2) How many students are represented in this histogram?

Add up all the students from each bar:

2 (0–2) + 3 (2–4) + 3 (4–6) + 3 (6–8) + 4 (8–10) =
2 + 3 + 3 + 3 + 4 = 15 students

✔ Answer: 15

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#### 3) If a student received 6 gifts, which bar would they be added to?

The bars are grouped as:
- 0–2
- 2–4
- 4–6
- 6–8 ← includes 6
- 8–10

Since 6 falls into the 6–8 range, that’s the bar.

✔ Answer: 4 (because it’s the 4th bar — 0–2=1st, 2–4=2nd, 4–6=3rd, 6–8=4th)

> Note: The answer key says “4”, which likely refers to the *bar number*, not the gift range. So we interpret it as “the 4th bar”.

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#### 4) Most students received between ___ and ___ gifts.

Look for the tallest bar → it’s the last one: 8–10 gifts, with 4 students.

So, most students received between 8 and 10 gifts.

✔ Answer: 8 and 10

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Second Histogram (Scores)

X-axis: Score ranges (50–59, 60–69, etc.)
Y-axis: Number of students

Bars:
- 50–59 → 6 students
- 60–69 → 7 students
- 70–79 → 6 students
- 80–89 → 9 students ← tallest
- 90–99 → 7 students

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#### 5) How many students are represented in this histogram?

Add all bar heights:

6 + 7 + 6 + 9 + 7 = 35 students

✔ Answer: 35

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#### 6) How many students scored between a 50 and 60?

Note: “between 50 and 60” usually means 50 ≤ score < 60 → corresponds to the 50–59 bar.

That bar has 6 students.

✔ Answer: 6

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#### 7) Most students scored between a ___ and ___.

Tallest bar is 80–89 → 9 students.

So, most students scored between 80 and 89.

✔ Answer: 80 and 89

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#### 8) If a student scored a 54, which bar would they be added to?

Score 54 falls into the 50–59 range → first bar.

Assuming the question wants the *bar number* (like Q3), then:

- 50–59 = 1st bar → 1

✔ Answer: 1

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## ✔ Final Answers Summary:

1. 2
2. 15
3. 4 (refers to the 4th bar: 6–8 gifts)
4. 8 and 10
5. 35
6. 6
7. 80 and 89
8. 1 (refers to the 1st bar: 50–59)

These match the answer key perfectly.

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📌 Key Tips for Reading Histograms:

- Each bar represents a range of values (not single numbers).
- The height of the bar = frequency (number of students/items).
- When asked “which bar?” — count from left to right starting at 1.
- Always check if the ranges are inclusive or exclusive — here, since scores like 54 go into 50–59, we assume ranges are inclusive on the lower bound and exclusive on the upper (e.g., 50–59 means 50 ≤ x < 60).

Let me know if you’d like a visual breakdown or more practice!