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Comparison of box plots showing time spent reading and number of park visitors.

Two box plots comparing students' time spent reading during holidays and park visitors during morning and evening hours in summer.

Two box plots comparing students' time spent reading during holidays and park visitors during morning and evening hours in summer.

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Show Answer Key & Explanations Step-by-step solution for: Compare Box Plots Worksheets [PDF] (7.SP.B.3): 7th Grade Math
I'll solve these box plot comparison problems step by step.

Problem 1: Students Time Spent on Reading Books During the Holidays

Looking at the two box plots for Section A and Section B:

For Section A:
- The box (IQR) appears to span from approximately 8 to 20 hours
- IQR = Q3 - Q1 = 20 - 8 = 12 hours

For Section B:
- The box (IQR) appears to span from approximately 6 to 24 hours
- IQR = Q3 - Q1 = 24 - 6 = 18 hours

Comparing the IQRs:
- Section A has an IQR of about 12 hours
- Section B has an IQR of about 18 hours
- Section B's IQR is larger than Section A's IQR

This means the middle 50% of students in Section B had more variation in their reading times compared to Section A. The data in Section B is more spread out in the middle range.

Problem 2: Park Visitors in the Summer

Looking at the two box plots for Morning and Evening:

For Morning:
- Minimum value (left whisker): approximately 16 visitors
- Maximum value (right whisker): approximately 72 visitors
- Range = Max - Min = 72 - 16 = 56 visitors

For Evening:
- Minimum value (left whisker): approximately 12 visitors
- Maximum value (right whisker): approximately 78 visitors
- Range = Max - Min = 78 - 12 = 66 visitors

Comparing the ranges:
- Morning range: about 56 visitors
- Evening range: about 66 visitors
- Evening has a larger range than morning

This means there was more variation in the number of evening visitors compared to morning visitors throughout the summer.

Final Answer:

1. Section B has a larger IQR than Section A, meaning the middle 50% of students in Section B showed more variation in reading time.

2. Evening has a larger range than morning, meaning there was greater variation in the number of evening park visitors compared to morning visitors.
Parent Tip: Review the logic above to help your child master the concept of box and whisker plot worksheet 7th grade.
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