Lesson 4.2: Statistics – Mean, Mode & Data Problem Solving | SEA Mathematics | My Carib Academy
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📊 Lesson 4.2: Statistics – Mean, Mode & Data Problem Solving

Master finding mode & mean of data sets and using data to solve problems & make decisions. This lesson covers SEA Mathematics Objectives 182-189 from the Statistics Strand.

70 Minutes
Module 4: Statistics
Objectives 182-189
1 Video
Lesson Progress 0%

Previous Lesson

Did you complete Lesson 4.1? Review Data Representation →

Learning Objectives

By the end of this lesson, you will be able to:

  • Find the mode of a data set (Objectives 185-186)
  • Calculate the mean (average) of a data set (Objectives 187-188)
  • Use data from tables, charts and graphs to solve problems (Objectives 182-184)
  • Make decisions based on data analysis (Objective 189)
  • Interpret and draw conclusions from statistical data

SEA Tip

Mean and mode questions appear in Section I and II of the SEA Math paper. These are often straightforward calculation questions! (SEA Framework Page 27-28)

Watch: Finding Mode & Mean of Data Sets

Start by watching this video to learn about mean and mode. Take notes as you watch! 📝

Finding Mode & Mean of Data Sets – Mathematics Video Lesson

Quick Check

Did you understand the video? Review the notes below before continuing! ✅

Mean & Mode of Data Sets

Mean and mode are two ways to describe the “average” or “typical” value in a data set!

MODE

Mode

The value that appears MOST OFTEN in a data set

MEAN

Mean

The average – add all values and divide by how many there are

Formulas

  • Mode: The value that appears most frequently
  • Mean: Sum of all values ÷ Number of values
  • Mean Formula: Mean = (x₁ + x₂ + x₃ + … + xₙ) ÷ n

📊 Example 1: Finding the Mode

Data Set: 3, 5, 7, 5, 9, 5, 3

Solution:

  1. Count each value:
  2. 3 appears 2 times
  3. 5 appears 3 times ← Most frequent!
  4. 7 appears 1 time
  5. 9 appears 1 time
  6. Mode = 5 (appears most often)

Answer: Mode = 5

📊 Example 2: Finding the Mean

Data Set: 4, 6, 8, 10, 12

Solution:

  1. Add all values: 4 + 6 + 8 + 10 + 12 = 40
  2. Count the values: 5 numbers
  3. Divide: 40 ÷ 5 = 8
  4. Mean = 8

Answer: Mean = 8

📊 Example 3: Mean Word Problem

Test Scores

Question: Maria scored 75, 80, 85, 90, and 100 on five tests. What is her mean (average) score?

Solution:

  1. Add all scores: 75 + 80 + 85 + 90 + 100 = 430
  2. Count the tests: 5 tests
  3. Divide: 430 ÷ 5 = 86

Answer: Mean score = 86

Common Mistake

Mode is the most frequent value (not the highest!). Mean requires adding ALL values then dividing. Don’t forget to count how many values there are!

Using Data to Solve Problems & Make Decisions

Data helps us make informed decisions! Let’s learn how to interpret data and solve problems.

📋 Steps for Data Problem Solving:

Step-by-Step Method
  1. Read the question carefully
  2. Identify what information you need from the data
  3. Extract the relevant data from tables, charts or graphs
  4. Calculate using the appropriate operation (add, subtract, multiply, divide)
  5. Check if your answer makes sense
  6. Make a decision based on your analysis

📊 Example 4: Interpreting a Bar Graph

Books Read by Students 0 2 4 6 8 10 6 8 4 10 2 John Mary Peter Sarah Tom Student Number of Books

Use this graph to answer questions

📊 Example 5: Data Problem Solving

Using the Graph Above

Question 1: Who read the most books?

Solution:

  1. Look at the bars: Find the tallest bar
  2. Read the name: Sarah’s bar is tallest
  3. Check the value: Sarah read 10 books

Answer: Sarah read the most books (10 books)

Question 2: What is the mean number of books read?

Solution:

  1. Add all values: 6 + 8 + 4 + 10 + 2 = 30
  2. Count students: 5 students
  3. Divide: 30 ÷ 5 = 6

Answer: Mean = 6 books

Memory Trick

MODE = Most Often (the one that appears most)
MEAN = Add all, then Divide (the average)
Tip: “Mode” has an “o” like “Often”!

Quick Quiz

Test your understanding! Select an answer for each question. 📊

6 Questions
12 Minutes
70% to Pass

1. Find the mode: 2, 4, 4, 6, 4, 8, 4

2. Find the mean: 5, 10, 15, 20, 25

3. What does “mode” mean in statistics?

4. To find the mean, you must:

5. Test scores: 70, 80, 90. What is the mean?

6. Data set: 3, 3, 5, 7, 9. What is the mode?

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Lesson Complete!

Great job finishing Lesson 4.2! You’re mastering statistics for the SEA exam! 🎉

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