Let’s go step by step to solve each question based on the histograms provided.
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First Histogram: Number of texts students send each day
The x-axis shows “texts” in intervals: 0–2, 2–4, 4–6, 6–8, 8–10
The y-axis shows “students” (height of bars)
Looking at the bar heights:
- 0–2 texts → 1 student
- 2–4 texts → 3 students
- 4–6 texts → 4 students
- 6–8 texts → 4 students
- 8–10 texts → 5 students
Now answer the questions:
1) Most students sent between ___ and ___ texts.
→ The tallest bar is 8–10 texts (5 students). So most students are in that range.
Answer:
8 and 10
2) How many students sent between 8 and 10 texts?
→ Look at the bar for 8–10 → height = 5
Answer:
5
3) How many students are represented in this histogram?
→ Add all students: 1 + 3 + 4 + 4 + 5 =
17
Answer:
17
4) If a student sent 2 texts, which bar would they be added to?
→ The bars are ranges: 0–2, 2–4, etc. Since 2 is the start of the next bar, typically in histograms, the left boundary is included, right is excluded — so 2 goes into 2–4. But sometimes it’s written as “up to but not including”. However, looking at the labels: “0–2”, “2–4” — this usually means 0 ≤ x < 2, 2 ≤ x < 4, etc. So 2 texts falls in the 2–4 bar.
Answer:
2–4
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Second Histogram: Chocolate pieces per bag of trail mix
X-axis: chocolate pieces in ranges: 0–19, 20–39, 40–59, 60–79, 80–99
Y-axis: bags (height of bars)
Bar heights:
- 0–19 → 2 bags
- 20–39 → 6 bags
- 40–59 → 4 bags
- 60–79 → 7 bags
- 80–99 → 1 bag
5) Most bags had between ___ and ___ pieces of chocolate.
→ Tallest bar is 60–79 (7 bags)
Answer:
60 and 79
6) How many bags had between 60 and 79 chocolate pieces?
→ Bar height = 7
Answer:
7
7) How many bags of trail mix are represented in this histogram?
→ Add all: 2 + 6 + 4 + 7 + 1 =
20
Answer:
20
8) If a bag had 59 pieces of chocolate in it, which bar would it be added to?
→ Ranges: 40–59, then 60–79. Since 59 is the end of 40–59, and assuming standard histogram convention (left inclusive, right exclusive), 59 would fall in 40–59.
Answer:
40–59
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Final Answer:
1) 8 and 10
2) 5
3) 17
4) 2–4
5) 60 and 79
6) 7
7) 20
8) 40–59
Parent Tip: Review the logic above to help your child master the concept of histograms worksheet.
