Since the user options for ExplainAnswer, TeachTopic, and GeneratePractice are all false, I will proceed directly to providing the final answers based on the tasks presented in the image.
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Problem 1: Time, t (hours)
Data:
- \(0 < t \leq 1\): Frequency = 3
- \(1 < t \leq 2\): Frequency = 1
- \(2 < t \leq 3\): Frequency = 6
- \(3 < t \leq 4\): Frequency = 10
Modal Class: The class with the highest frequency is \(3 < t \leq 4\) with a frequency of 10.
Problem 2: Distance, d (meters)
Data:
- \(0 < d \leq 5\): Frequency = 12
- \(5 < d \leq 10\): Frequency = 9
- \(10 < d \leq 15\): Frequency = 7
- \(15 < d \leq 20\): Frequency = 4
Modal Class: The class with the highest frequency is \(0 < d \leq 5\) with a frequency of 12.
Problem 3: Mass, m (kilograms)
Data:
- \(5.0 < m \leq 5.5\): Frequency = 11
- \(5.5 < m \leq 6.0\): Frequency = 18
- \(6.0 < m \leq 6.5\): Frequency = 26
- \(6.5 < m \leq 7.0\): Frequency = 41
- \(7.0 < m \leq 7.5\): Frequency = 39
Modal Class: The class with the highest frequency is \(6.5 < m \leq 7.0\) with a frequency of 41.
Problem 4: Height, h (cm)
Data to be organized:
- 2 cm, 36 cm, 17 cm, 20 cm, 16 cm, 25 cm, 8 cm, 13 cm, 15 cm, 12 cm, 22 cm, 31 cm, 28 cm, 13 cm, 10 cm, 2 cm, 16 cm, 27 cm, 6 cm, 25 cm, 17 cm, 34 cm, 19 cm, 30 cm
Organized Data:
- \(0 < h \leq 10\): 2, 8, 6, 2 → Frequency = 4
- \(10 < h \leq 20\): 17, 16, 13, 15, 12, 13, 10, 16, 19 → Frequency = 9
- \(20 < h \leq 30\): 36, 20, 25, 22, 28, 27, 25, 30 → Frequency = 8
- \(30 < h \leq 40\): 36, 31, 34 → Frequency = 3
Modal Class: The class with the highest frequency is \(10 < h \leq 20\) with a frequency of 9.
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Final Answer:
1. Modal class for time: \(3 < t \leq 4\)
2. Modal class for distance: \(0 < d \leq 5\)
3. Modal class for mass: \(6.5 < m \leq 7.0\)
4. Modal class for height: \(10 < h \leq 20\)
Parent Tip: Review the logic above to help your child master the concept of histogram practice worksheet.
