## Lesson Plan: Calculation of Range, Median, and Mode of Grouped Data
**Grade:** Senior Secondary 1 (Grade 10)
**Subject:** Mathematics
**Duration:** 60 minutes
**Topic:** Calculation of Range, Median, and Mode of Grouped Data
### Objectives:
- Understand the concepts of range, median, and mode.
- Learn how to calculate the range of grouped data.
- Learn how to determine the median of grouped data.
- Learn how to find the mode of grouped data.
### Materials Needed:
- Whiteboard and markers
- Graphing calculators (optional)
- Handouts with formulas and example problems
- Graph paper
- Ruler
- PowerPoint presentation or printed charts
- Sample data set for practice
### Introduction (10 minutes):
1. **Greeting and Attendance** - Greet the students.
2. **Objective Overview** - Explain the objectives of the lesson.
3. **Recap of Ungrouped Data** - Briefly review the calculation of range, median, and mode for ungrouped data to build on prior knowledge.
### Direct Instruction (20 minutes):
1. **Introduction to Grouped Data**:
- Explain that grouped data is data that is divided into intervals, or "classes".
- Introduce the concept of frequency distribution tables to organize grouped data.
2. **Calculation of Range**:
- Define range: The difference between the highest and lowest values.
- **Formula**: Range = Upper boundary of the last class - Lower boundary of the first class.
- Provide an example and solve it on the board.
3. **Calculation of Median**:
- Define median: The middle value of the data.
- Explain how to determine the class in which the median lies using the cumulative frequency.
- **Formula**: Median = L + [(N/2 - CF)/f] * h
- L = Lower boundary of the median class
- N = Total number of observations
- CF = Cumulative frequency of the class preceding the median class
- f = Frequency of the median class
- h = Class width
- Provide a detailed example.
4. **Calculation of Mode**:
- Define mode: The value that appears most frequently.
- Explain how to identify the modal class (the class with the highest frequency).
- **Formula**: Mode = L + [(fm - f1)/(2fm - f1 - f2)] * h
- L = Lower boundary of the modal class
- fm = Frequency of the modal class
- f1 = Frequency of the class preceding the modal class
- f2 = Frequency of the class succeeding the modal class
- h = Class width
- Provide a detailed example.
### Guided Practice (15 minutes):
1. Distribute handouts with practice problems.
2. Guide the students through the problems, step-by-step.
3. Encourage students to ask questions and clarify any doubts.
### Independent Practice (10 minutes):
1. Provide a new data set for independent practice.
2. Have students calculate the range, median, and mode of the provided grouped data.
3. Move around the classroom to offer individual assistance as needed.
### Review and Assessment (5 minutes):
1. Collect and quickly review the independent practice sheets to gauge understanding.
2. Address any common errors or misconceptions observed in the practice.
### Closing (5 minutes):
1. Summarize the key points of the lesson.
2. Assign homework: Provide additional problems on the calculation of range, median, and mode for grouped data.
3. Announce the next topic in the syllabus.
### Homework:
- Worksheet with additional problems on calculating the range, median, and mode of grouped data.
### Assessment:
- Evaluate the accuracy of the practice problems completed during class.
- Review and provide feedback on the homework assignment.
- Conduct a short quiz in the next class to assess understanding.
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This lesson plan should help students understand and apply the concepts of range, median, and mode to grouped data, building a foundational skill set for data analysis in statistics.