Lesson Notes By Weeks and Term v4 - SHS 1
STATISTICAL REASONING AND ITS APPLICATION IN REAL LIFE
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STATISTICAL REASONING AND ITS APPLICATION IN REAL LIFE
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Subject: Mathematics
Class: SHS 1
Term: 2nd Term
Week: 11
Grade code: 1.4.1.LI.3
Strand code: 4
Sub-strand code: 1
Content standard code: 1.4.1.CS.1
Indicator code: 1.4.1.LI.3
Theme: MAKING SENSE OF AND USING DATA
Subtheme: STATISTICAL REASONING AND ITS APPLICATION IN REAL LIFE
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Welcome, students! Today, we are moving beyond just numbers in statistics. Statistics is not only about calculating averages or drawing charts; it's a powerful tool for understanding our world, our communities, and the people around us. Have you ever wondered how a company like FanYogo knows what new flavour of ice cream you might like? Or how a journalist gathers information for a story about trotro drivers' experiences? They do this by collecting *data*. In this lesson, we will focus on qualitative data—information that describes qualities, opinions, feelings, and experiences.
A. What is Data? A Quick Recap Data is simply a collection of facts, such as numbers, words, measurements, or just descriptions of things. In statistics, we broadly classify data into two types: Quantitative Data: This is data that can be counted or measured. It deals with numbers. *Example:* The number of students in this class (e.g., 45 students). *Example:* The price of a ball of kenkey (e.g., GH₵ 3.00). *Example:* The time it takes you to walk to school (e.g., 20 minutes). Qualitative Data: This is descriptive data. It deals with qualities, characteristics, and experiences that cannot be easily measured with numbers. It often answers the "why" and "how" questions. *Example:* The favourite subject of students in this class (e.g., "Mathematics," "Integrated Science," "Social Studies"). *Example:* The reasons why people prefer Gob3 over Waakye for lunch (e.g., "It is more filling," "It is cheaper," "I like the taste of the gari"). *Example:* Descriptions of the traffic situation on the N1 highway in the morning ("heavy," "chaotic," "slow-moving").
Today, our entire focus is on how to collect qualitative data. B. Key Qualitative Data Collection Methods
These are the tools researchers, businesses, and even you can use to gather descriptive information. Interviews What it is: A one-on-one conversation where an interviewer asks questions to a respondent to gather in-depth information. When to use it: When you need detailed, personal experiences, opinions, or stories. Types: Structured: You ask every person the exact same set of pre-written questions in the same order. It's like a spoken questionnaire. Semi-structured: You have a guide with key questions (an *interview guide*), but you can ask follow-up questions (probes) to explore interesting answers further. This is the most common type. Unstructured: A very flexible, conversational interview with no pre-set questions. It flows like a natural chat. Ghanaian Example: An SRC presidential aspirant conducts semi-structured interviews with students from different houses to understand their biggest concerns about school life. They might ask, "What is one thing you would like to change about our school dining hall, and why?" Strengths: Provides very deep and detailed information. Allows you to clarify questions and get more context. Weaknesses: Can be very time-consuming. The interviewer's presence might influence the answers. Observations What it is: Watching and recording people's behaviour, actions, or events in their natural setting. When to use it: When you want to understand what people *do*, not just what they *say* they do. Types: Participant Observation: The researcher becomes part of the group they are studying. (e.g., a researcher joining a group of fishermen on their daily trip). Non-participant Observation: The researcher watches from a distance without getting involved. (e.g., sitting at a trotro station and observing how drivers and mates interact with passengers). Ghanaian Example: A headteacher wants to understand why there is so much litter on the school compound. They could use non-participant observation, stationing themselves at a vantage point during break time to watch and record students' waste disposal habits using an *observation checklist*. Strengths: Provides direct information about behaviour in a real-world setting. Can reveal things people might not think to mention in an interview. Weaknesses: People might change their behaviour if they know they are being watched (The Hawthorne Effect). The observer's own biases can influence what they notice and record. Focus Groups What it is: A guided discussion with a small group of people (usually 6-10) who share similar characteristics (e.g., SHS 1 students, mothers of young children, Bolt drivers). A facilitator leads the discussion. When to use it: When you want to explore a topic in-depth and understand group dynamics, shared opinions, or brainstorm new ideas. Ghanaian Example: The school's canteen operator wants to introduce a new item on the menu. They could organize a focus group with students to get feedback on the proposed food, its price, and what name to give it. The interaction between students can generate rich ideas. Strengths: Generates a lot of information quickly from multiple people. Group interaction can spark new ideas and deeper insights. Weaknesses: One or two dominant people might control the conversation. Some participants might be shy to share their true opinions in a group. Oral Histories What it is: Collecting people's memories and personal stories about historical events or their life experiences. It is a type of in-depth, unstructured interview focused on the past. When to use it: To preserve cultural heritage, understand historical events from a personal perspective, and capture stories that are not in history books. Ghanaian Example: A student for a Social Studies project interviews their grandmother or a community elder to record their memories of Ghana's Independence Day in 1957. Strengths: Provides a rich, personal perspective on history. Helps preserve culture and traditions. Weaknesses: Relies on human memory, which can be inaccurate or fade over time. Highly subjective and represents only one person's viewpoint. C. How to "Validate" or Choose the Right Method
"Validating" a method means checking if it's the most appropriate and useful tool for your specific research goal. There is no single "best" method; the choice depends on your question. Ask yourself: What is my goal? Do I need deep personal stories (use interviews) or do I need to see how people behave in a group (use observation or focus groups)? What is the topic? Is it a sensitive topic? People might be more honest in a one-on-one interview than in a focus group. Who am I studying? Are they comfortable in groups? Are they busy people who only have time for a short chat? What resources do I have? Interviews take a lot of time. Focus groups require a good facilitator and a suitable space.