Data Handling

Grade 10 Math - Data Handling

Lesson Objectives

Understand the process of collecting and organizing data.
Present data using tables, bar charts, pie charts, and line graphs.
Interpret data from various types of charts and graphs.

Lesson Introduction

Data handling is the process of gathering, recording, and presenting information in a meaningful way. This helps us understand and interpret real-world situations using numbers, charts, and graphs. In this lesson, we will explore how to collect data, organize it, and represent it using various types of charts.

Core Lesson Content

Data Collection: This involves gathering facts or figures to study a particular situation. It can be done through surveys, observations, experiments, or from existing records.

Data Presentation: Once data is collected, it is usually presented in a table or chart for easy understanding. Common methods of presentation include:

Bar Charts – useful for comparing quantities across categories.
Pie Charts – useful for showing parts of a whole.
Line Graphs – useful for showing trends over time.
Frequency Tables – used to organize data into classes or intervals.

Worked Example

Example 1: Collecting data from a classroom survey.
A teacher asks 30 students about their favorite subject. The results are grouped in a tally chart.

Example 2: Creating a frequency table.
The following scores were recorded in a test: 5, 6, 6, 7, 8, 5, 9, 7, 6, 6. Create a frequency table for this data.

Example 3: Drawing a bar chart.
Using the frequency table from Example 2, draw a bar chart to represent the test scores.

Example 4: Interpreting a bar chart.
From a given bar chart showing students’ favorite fruits, determine which fruit is the most and least preferred.

Example 5: Constructing a pie chart.
40 students chose different transport modes to school: 20 walked, 10 used a bus, and 10 used a car. Represent this using a pie chart.

Example 6: Interpreting a pie chart.
A pie chart shows time spent on daily activities: 8 hours sleeping, 6 hours schooling, 2 hours eating, and 8 hours on other activities. What percentage is spent schooling?

Example 7: Drawing a line graph.
The number of rainy days in the first six months of the year is given. Represent the data using a line graph.

Example 8: Interpreting a line graph.
A line graph shows the performance of a student in mathematics over five terms. Describe the trend of performance.

Example 9: Interpreting real-life data.
A table shows monthly expenses of a family on food, rent, transport, and others. Use this data to draw a pie chart.

Example 10: Comparing data sets.
Two bar charts show sales made in two different shops over the same period. Compare their performance.

Exercises

[NABTEC] Create a frequency table from the following data: 2, 3, 3, 4, 4, 4, 5, 5, 5, 5. [Past Question]
Draw a bar chart for the number of books read by students: John (3), Alice (5), Tunde (4), Mary (6).
[WAEC] A pie chart shows student enrollment in departments: Science (90°), Arts (60°), Commercial (210°). What fraction of students are in Arts? [Past Question]
Interpret a line graph showing the rainfall (in mm) over 12 months.
[NECO] Represent the monthly pocket money of five students in a bar chart: ₦1000, ₦1500, ₦1200, ₦1300, ₦1100. [Past Question]
Use the data: Food – ₦20,000; Transport – ₦10,000; Rent – ₦30,000; Others – ₦15,000. Draw a pie chart.
A frequency table shows number of cars passing a checkpoint per hour. Use this to draw a histogram.
From a pie chart, 25% of a class play football. If there are 40 students, how many play football?
[JAMB] Draw a line graph to show temperature changes over 7 days: 30°C, 31°C, 29°C, 28°C, 32°C, 33°C, 30°C. [Past Question]
A bar chart compares costs of goods in markets A and B. Identify which market is cheaper overall.

Conclusion/Recap

In this lesson, we learned how to collect, organize, and present data using frequency tables, bar charts, pie charts, and line graphs. We also practiced interpreting data from these visuals to make informed decisions. In the next lesson, we will study measures of central tendency including mean, median, and mode.