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Questions and Answers

Which of the following best describes the purpose of stating the aim of research clearly before beginning the process?

  • To make the research sound more impressive and complex.
  • To ensure the research is broad and covers multiple areas.
  • To allow for flexibility and changes during the research process.
  • To provide a specific and measurable focus for the research. (correct)

What type of data is primarily gathered from open questions?

  • Categorical
  • Numerical
  • Quantitative
  • Qualitative (correct)

Why is it important to avoid leading questions when constructing a questionnaire?

  • To make the questionnaire shorter and easier to complete.
  • To guide respondents towards a specific answer.
  • To obtain unbiased and accurate responses. (correct)
  • To ensure respondents provide answers quickly.

Which data collection method does NOT involve personal contact with the subjects?

<p>Observation (C)</p> Signup and view all the answers

What is the primary benefit of using questionnaires for data collection?

<p>They are suitable for gathering information from a large group of people, especially over a wide area. (B)</p> Signup and view all the answers

What is the purpose of using a random sample when collecting data from a population?

<p>To ensure that every member of the population has an equal chance of being selected. (D)</p> Signup and view all the answers

Which of the following is NOT a key guideline for developing a good questionnaire?

<p>Including only questions with obvious answers. (A)</p> Signup and view all the answers

What type of data is represented by the colors of sweets in a jar?

<p>Categorical data (A)</p> Signup and view all the answers

What distinguishes discrete data from continuous data?

<p>Discrete data can only be integers, while continuous data can take any value within a range. (D)</p> Signup and view all the answers

In data handling, what is the purpose of using tallies?

<p>To count the frequency of items in a group. (A)</p> Signup and view all the answers

When organizing continuous data, why are class intervals used?

<p>To simplify the data by grouping it into manageable ranges. (C)</p> Signup and view all the answers

What is the main advantage of summarizing data using a few representative numbers?

<p>It simplifies the analysis process and makes it more manageable. (C)</p> Signup and view all the answers

Which measure of central tendency is most affected by extreme values in a dataset?

<p>Mean (B)</p> Signup and view all the answers

How is the median calculated when there is an even number of values in a dataset?

<p>It is the average of the two middle values. (A)</p> Signup and view all the answers

What does the range measure in a dataset?

<p>How spread out the data values are. (C)</p> Signup and view all the answers

Why are pie charts effective for data representation?

<p>They compare parts of a whole by representing proportions as percentages. (B)</p> Signup and view all the answers

Which type of graph is most suitable for displaying continuous data grouped into intervals?

<p>Histogram (B)</p> Signup and view all the answers

What is the primary use of line graphs in data representation?

<p>To show trends and changes over time. (C)</p> Signup and view all the answers

What does data analysis involve after gathering information?

<p>Carefully examining the information and making decisions based on it. (B)</p> Signup and view all the answers

If a dataset contains the values 5, 7, 9, 11, and 13, what is the median?

<p>9 (B)</p> Signup and view all the answers

Given the following data set: 2, 2, 3, 4, 5, 5, 5, 6, 7, 8. What is the mode?

<p>5 (A)</p> Signup and view all the answers

Which formula accurately calculates the required sample size ($n$) from a population of size $N$ with a margin of error $e$?

<p>$n = \frac{N}{1 + N(e^2)}$ (C)</p> Signup and view all the answers

What is the defining characteristic of 'continuous' numerical data?

<p>It can take any value within a given range. (D)</p> Signup and view all the answers

If the highest value in a dataset is 120 and the lowest value is 35, what is the range?

<p>85 (A)</p> Signup and view all the answers

What is the critical reason for ensuring questions in a questionnaire are 'relevant'?

<p>To ensure each question is necessary, feasible, and elicits an honest response. (B)</p> Signup and view all the answers

A data set includes the following values: 10, 12, 14, 16, 18. Calculate the mean of this data set.

<p>14 (D)</p> Signup and view all the answers

In the context of classifying data, which of the following provides an example of 'discrete' numerical data?

<p>The number of students in a class. (C)</p> Signup and view all the answers

When constructing class intervals in a frequency table for continuous data, what principle dictates how the boundaries are defined?

<p>The lower boundary is included, but the upper boundary is excluded. (D)</p> Signup and view all the answers

In a study examining customer satisfaction, researchers want to use a Likert scale with five options: 'Strongly Disagree,' 'Disagree,' 'Neutral,' 'Agree,' and 'Strongly Agree.' If they collect responses for 10 items, what does the formula $\text{Response Score} = \sum_{i=1}^{k} R_i$ represent, and how is it applied?

<p>It computes the total satisfaction score for each respondent by summing their response values for all items. (B)</p> Signup and view all the answers

Consider a research study where the aim is 'to determine the average daily water consumption of households in a suburban area.' If researchers choose to collect data only during the summer months, what type of bias is most likely to affect the results, and how could they mitigate it?

<p>Sampling bias, mitigated by collecting data throughout the year to account for seasonal variations. (C)</p> Signup and view all the answers

What is the foundational first step before initiating any research process?

<p>Clearly stating the aim of the research (B)</p> Signup and view all the answers

According to the provided formula, what is the correct structure for stating the aim of a research?

<p>&quot;To find out [specific aspect] about [subject].&quot; (C)</p> Signup and view all the answers

Which type of question is designed to gather straightforward, quantitative data, typically answered with 'yes' or 'no'?

<p>Closed question (B)</p> Signup and view all the answers

For gaining in-depth insights and understanding the reasoning behind opinions, which type of question is most suitable?

<p>Open question (D)</p> Signup and view all the answers

Why is it crucial to avoid using complex language when constructing effective questions for research?

<p>To ensure the question is easily understood by all respondents (B)</p> Signup and view all the answers

What is the primary reason for avoiding leading questions in research questionnaires?

<p>To prevent biasing the respondents towards a particular answer (C)</p> Signup and view all the answers

For comprehensive research, what strategy is recommended regarding the types of questions used?

<p>Use a combination of closed and open questions (C)</p> Signup and view all the answers

Which data collection method is characterized by not involving direct personal contact with the subjects?

<p>Observation (A)</p> Signup and view all the answers

When is conducting interviews typically favored as a method for data collection?

<p>When it is convenient to directly converse with respondents (B)</p> Signup and view all the answers

For gathering information from a large number of geographically dispersed individuals, which data collection instrument is most appropriate?

<p>Questionnaires (A)</p> Signup and view all the answers

What is a 'population' in the context of data collection?

<p>The entire group from which data is intended to be collected (D)</p> Signup and view all the answers

What potential issue can arise from the choice of a sample in data collection?

<p>Sample bias (D)</p> Signup and view all the answers

According to the formula, what does 'N' represent in the Random Sample Formula: Probability of selection = $ rac{1}{N}$?

<p>Total number of individuals in the population (B)</p> Signup and view all the answers

In the sample size calculation formula $n = rac{N}{1 + N(e^2)}$, what does 'e' represent?

<p>Margin of error (C)</p> Signup and view all the answers

What is the recommendation for the length of a good questionnaire to ensure validity and accuracy of collected data?

<p>Keep it short and include only necessary questions (A)</p> Signup and view all the answers

What does 'Relevance Check' refer to in the context of developing a good questionnaire?

<p>Analyzing each question for necessity, feasibility, and honesty of answer (D)</p> Signup and view all the answers

In questionnaire design, what is the purpose of ensuring a 'logical order' of questions?

<p>To create an easy-to-follow sequence for respondents (D)</p> Signup and view all the answers

According to the provided information, what is the primary distinction between categorical and numerical data?

<p>Categorical data can be described, while numerical data can be measured. (B)</p> Signup and view all the answers

Which of the following is an example of discrete numerical data?

<p>The number of students in a class (B)</p> Signup and view all the answers

What characteristic defines continuous data?

<p>It can take any value within a given range. (B)</p> Signup and view all the answers

What is the purpose of using tallies in organizing data?

<p>To count the occurrences of each item in a group (C)</p> Signup and view all the answers

When organizing continuous data with a wide range of values, why are class intervals used?

<p>To simplify data management by grouping values into ranges (C)</p> Signup and view all the answers

What is the formula to calculate the total number of items from a frequency table with class intervals?

<p>Total number of items = $\sum$ Frequencies (C)</p> Signup and view all the answers

What is the primary benefit of summarizing data using measures of central tendency and spread?

<p>To represent the entire dataset with a few representative numbers (D)</p> Signup and view all the answers

Which measure of central tendency is calculated by summing all values and dividing by the number of values?

<p>Mean (D)</p> Signup and view all the answers

How is the median defined for a dataset?

<p>The middle value when data is ordered (D)</p> Signup and view all the answers

What does the 'mode' represent in a dataset?

<p>The most frequently occurring value (C)</p> Signup and view all the answers

What does the 'range' measure in data analysis?

<p>Spread of data (D)</p> Signup and view all the answers

Which type of graph is most effective for showing parts of a whole as percentages?

<p>Pie chart (C)</p> Signup and view all the answers

For displaying continuous data grouped into intervals, which type of graph is most suitable?

<p>Histogram (D)</p> Signup and view all the answers

In research, what is the correct arrangement for defining the aim?

<p>To find out [specific aspect] about [subject]. (B)</p> Signup and view all the answers

What kind of data do open questions primarily help to collect?

<p>Qualitative data for in-depth insights. (D)</p> Signup and view all the answers

When constructing effective questions, why should complex terminology be avoided?

<p>To ensure the questions are easily understood by everyone. (B)</p> Signup and view all the answers

Which of the following data collection methods involves direct interaction with the subjects?

<p>Interview (C)</p> Signup and view all the answers

What is a defining advantage of using questionnaires for research data collection?

<p>Enabling collection of data from a large number of participants. (D)</p> Signup and view all the answers

Following data collection, what is the subsequent key step in the data handling process?

<p>Data classification (C)</p> Signup and view all the answers

When classifying data, what distinguishes 'categorical data' from 'numerical data'?

<p>Numerical data can be measured, while categorical data is descriptive. (C)</p> Signup and view all the answers

What is the primary purpose of using 'measures of central tendency' when summarising data?

<p>To show the central position of a dataset. (C)</p> Signup and view all the answers

What is the purpose of representing data graphically after it has been collected and summarised?

<p>To better understand trends. (A)</p> Signup and view all the answers

What is the role of 'N' in probability sample selection with the formula: $Probability = \frac{1}{N}$?

<p>The complete amount of things in the population. (D)</p> Signup and view all the answers

How are class intervals typically constructed for continuous data when organizing data into a frequency table?

<p>Each interval includes its lower boundary, but excludes the upper boundary. (A)</p> Signup and view all the answers

In statistical analysis, what does the term mode refer to within a dataset?

<p>The value occurring most frequently. (D)</p> Signup and view all the answers

When is direct interviewing typically preferred as a data collection method?

<p>When exploratory, in-depth information from the sample. (B)</p> Signup and view all the answers

In designing a questionnaire, what does performing a 'Relevance Check' primarily involve?

<p>Evaluating the necessity, honest answer potential, and feasibility. (A)</p> Signup and view all the answers

Which kind of chart is best tailored to show the proportion each part contributes to a whole?

<p>Pie chart (C)</p> Signup and view all the answers

What factor primarily determines the validity and precision of the data gathered through questionnaires?

<p>Careful wording, relevance, and structure of the questions. (C)</p> Signup and view all the answers

According to the sample size calculation formula $n = \frac{N}{1 + N(e^2)}$, what does the symbol 'e' represent?

<p>The maximum acceptable difference of the sample. (D)</p> Signup and view all the answers

When is it suitable to employ a histogram in data presentation?

<p>Showing continuous figures in interval style. (D)</p> Signup and view all the answers

What might 'sample bias' do in data collection?

<p>Lead to poor data. (A)</p> Signup and view all the answers

In conducting research that combines both closed and open questions, what strategy ensures a balanced and useful data collection?

<p>Start with close-ended questions for collecting the quantitative, data; then ask open-ended questions to add the what's and why (B)</p> Signup and view all the answers

How does the calculation of the median differ when a dataset contains an even number of values, as opposed to an odd number?

<p>The median is the average of the two central amount, when the figure set is even. (A)</p> Signup and view all the answers

In the context of designing effective questionnaires, what is the primary goal of ensuring a 'logical order' of questions?

<p>To minimize the respondent drop-out. (C)</p> Signup and view all the answers

What kind of data will numerical continuous be?

<p>Amounts in range. (B)</p> Signup and view all the answers

How would you calculate the amounts if grouped into intervals?

<p>Total all sections. (B)</p> Signup and view all the answers

After analysing data, the mean is helpful for what?

<p>To indicate central area. (B)</p> Signup and view all the answers

When would you use lines on data?

<p>Across from time. (B)</p> Signup and view all the answers

What essential condition must be met to accurately apply the 'Random Sample Formula' in research?

<p>Each point must be independent, with equal possibility. (C)</p> Signup and view all the answers

How does a researcher utilize histograms in data analysis to discern patterns within a dataset?

<p>To check distribution. (B)</p> Signup and view all the answers

In data handeling, how is the term 'range' described?

<p>Highest to Lowest. (C)</p> Signup and view all the answers

Flashcards

Aim of Research

A statement defining the specific focus of research.

Closed Questions

Questions with simple, predefined answers like 'yes' or 'no'.

Open Questions

Questions allowing detailed, descriptive answers in the respondent's own words.

Avoiding Leading Questions

Framing questions neutrally to avoid influencing the respondent's answer.

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Observation

Collecting data without personal interaction, such as counting vehicles.

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Interview

Data collection through direct conversation between an interviewer and interviewee.

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Questionnaire

A set of predetermined questions given to respondents to complete.

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Databases

Organized lists of data, computerized or in paper form.

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Population

The entire group from which data is collected.

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Sample

A selection of individuals from the population.

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Sample Bias

Bias introduced by non-random sample selection.

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Random Sample

Ensuring all individuals have an equal chance of being selected.

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Probability of Random Selection

Formula: ( \text{Probability of selection} = \frac{1}{N} ), where N is the population size.

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Sample Size Calculation

Formula: [ n = \frac{N}{1 + N(e^2)} ], where n = sample size, N = population size, e = margin of error.

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Open-ended Questions

Questions allowing respondents to answer in their own words.

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Closed-ended Questions

Questions with specific answer options provided.

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Clear Wording

Ensuring questions are easy to understand.

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Logical Order

Arranging questions in a logical and easy-to-follow sequence.

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Likert Scale

Scale to gauge attitudes using a range of responses.

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Categorical Data

Data that can be described but not measured numerically.

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Numerical Data

Data measured using numbers.

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Discrete Data

Numerical data with specific, countable values.

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Continuous Data

Numerical data that can take any value within a range.

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Tallies

Counting items by representing each with a line mark.

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Frequency Tables

A table showing categories or items and their frequencies.

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Class Intervals

Grouping data into specific ranges for manageability.

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Total Items in Grouped Data

Formula: [ \text{Total number of items} = \sum \text{Frequencies} ]

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Measure of Central Tendency

A single value representing the center of a data set.

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Measures of spread

Describes how data is dispersed.

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Range

The highest value minus the lowest value.

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Aim of Research (Formula)

To find out a particular aspect regarding a subject.

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Clear and Concise Questions

Ensuring the question can be easily understood, without complex language or ambiguity.

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Combining Question Types

Using both quantitative (close ended) and qualitative (open ended) questions to enrich understanding.

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Good Questionnaire (Components)

A predetermined list of questions to collect responses.

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Questionnaire Aim

Clearly state the questionnaire’s objective.

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Questionnaire Relevance Check

Ensuring each question is essential, answerable and that people will provide truthfull answers.

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Questionnaire Structure

Organize open and closed questions in a sequence that is simple to follow.

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Total Items (Grouped Data)

The sum of the frequencies of all class intervals.

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Items less than value

Sum the frequencies of the relevant class intervals

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Items more than value

Sum the frequencies of the relevant class intervals

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Mode

The value in a data set that appears most frequently.

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Line Graphs

To show the relationship between two quantities often over a given period of time.

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Pie Charts Usage

Used to compare the different components that make up the totality of a data sample.

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Histograms Usage

They are used to give an indication of the distribution of data

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Bar Graph

Used to display data that can be compared across different categories.

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Mean (Definition)

The average of a set of numbers. It’s calculated by adding all values, then dividing by the number of values.

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Pie Charts

Graphical representations used to compare components of a whole and ideal for proportionality.

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Data Collection via Observation

Data collection without personal contact or interaction

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Median

The middle value in an ordered data set.

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Mean (Formula)

Shows total/sum of all values, divided by the number of values.

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Graphical Representation

Helps analysis of data.

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Study Notes

  • Study notes on Data Handling

Developing Questions

  • Research should begin with a clearly stated, specific, and measurable aim.
  • Aim = "To find out [specific aspect] about [subject]."

Types of Questions

  • Questions can be open or closed.
  • Closed questions yield quantitative data with "yes/no" or specific information.
  • Closed questions: "Do you [action/condition]?" (Yes/No) or "How many [quantity/time] do you [action]?" ([options])
  • Open questions allow for qualitative, detailed answers.
  • Open questions: "What do you think about [topic]?" or "How could [topic] be improved?"

Constructing Effective Questions

  • Questions should be clear, concise, and avoid complex language.
  • Avoid framing questions in a way that suggests a particular answer.
  • Instead of asking "Don’t you think [opinion]?", ask "What are your thoughts on [topic]?"
  • Each question should focus on a single aspect to prevent confusion.
  • Use a combination of closed and open questions for comprehensive research.
  • Closed questions provide quantitative data and Open questions provide qualitative insights.

Collecting Data

  • The research aim dictates the data collection method.
  • Data collection methods include observation, interviews, questionnaires, and databases.
  • Observation: Non-personal contact data collection, like counting vehicles at an intersection.
  • Interview: Direct conversations between an interviewer and interviewee.
  • Questionnaire: Distributing a set of questions to numerous respondents for completion and suits wide areas and many people.
  • Databases: Utilize existing organized data to avoid primary collection.
  • The population is the group from which data is collected and sample selection affects reliability and can introduce bias.

Avoiding Sample Bias

  • Random Sample Formula: [ \text{Probability of selection} = \frac{1}{N} ] where ( N ) is the total population.
  • Sample Size Calculation: [ n = \frac{N}{1 + N(e^2)} ] where ( n ) is the sample size, ( N ) is the population size, and ( e ) is the margin of error.

Developing Good Questionnaires

  • Questionnaires should be short, with only necessary questions.
  • Analyse each question for necessity, feasibility, and likelihood of honest answers.
  • Offer both open-ended and closed-ended questions.
  • Ensure questions are clearly worded and arranged in a logical sequence.
  • Questionnaire Development: Aim should be clear, structure should be organized, clarity in simple wording, and relevance of each question.
  • Designing Closed-ended Questions with Likert Scale: [ \text{Response Score} = \sum_{i=1}^{k} R_i ] where ( R_i ) is the response value for each item and ( k ) is the total number of items.

Classifying Data

  • After collection, data is classified into categorical or numerical types.
  • Categorical data (e.g., gender, colors) is descriptive and non-numeric.
  • Numerical data is measurable and includes discrete and continuous types.
  • Discrete data (e.g., number of bicycles, puppies) is countable.
  • Continuous data (e.g., height, rainfall) can take any value within a range.

Organizing Data

  • Organization methods include tallies, frequency tables, and class intervals.
  • Tallies involve making a mark for each counted item, with every fifth item crossing the previous four.
  • Frequency tables list categories and the number of occurrences for each item.
  • Class intervals group data into specific ranges, mainly for continuous data.

Working with Grouped Data

  • The Total number of items is the sum the frequencies of all class intervals: [ \text{Total number of items} = \sum \text{Frequencies} ]
  • The number of items less than a value is the sum the frequencies of all relevant class intervals.
  • The number of items more than a value is the sum the frequencies of all relevant class intervals.

Summarising Data

  • Summarizing data involves using a few numbers to represent an entire dataset.
  • This simplifies the analysis process.
  • Data can be summarized using measures of central tendency or measures of spread.
  • Measures of central tendency show the central position of a dataset.
  • Measures of spread describe how data is dispersed.

Measures of Central Tendency

  • Three main types: mean, mode, and median.
  • Mean is the average, calculated by adding all values and dividing by the number of values: [ \text{Mean} = \frac{\sum \text{(all values)}}{\text{Number of values}} ]
  • Median is the middle value when data is ordered and if even, it is the average of the two middle values.
  • Mode is the most frequent value, and for grouped data, it is the group with the highest frequency.

Range

  • The range is the difference between the highest and lowest values. [ \text{Range} = \text{Highest value} - \text{Lowest value} ]

Representing Data Graphically

  • Data can be shown using pie charts, histograms, bar graphs, line graphs, and broken line graphs.
  • Pie charts compare parts of a whole, using sectors labelled as percentages.
  • Bar graphs compare data across different categories.
  • Histograms represent continuous data grouped into intervals with adjacent bars.
  • Line graphs show relationships between two quantities, typically over time.

Analysing Data

  • Data analysis involves carefully examining data and making decisions based on this.
  • It starts with gathering information and identifying trends or patterns.

Data Analysis Measures

  • Mean: [ \text{Mean} = \frac{\sum \text{Values}}{\text{Number of Values}} ]
  • Range: [ \text{Range} = \text{Highest Value} - \text{Lowest Value} ]

Graphical Representation

  • Pie charts compare parts of a whole.
  • Bar graphs display data across categories.
  • Histograms group continuous data into intervals.
  • Line graphs show changes over time and the relationships between two quantities.

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