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.