Achievement Standard 1.1: Statistical Inquiry Process
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Questions and Answers

Which statement best describes the strength of a relationship in a scatter graph?

  • It indicates the direction of the points.
  • It relies on visual indicators of low, medium, or high scattering. (correct)
  • It shows only positive relationships.
  • It is determined by the presence of clusters.

    • A scatter graph with a bottom-left to top-right trend shows a negative relationship.

    False

    What is one method to identify clusters in a scatter graph?

    Circling the clusters and providing x and y intervals.

    In a scatter graph, unusual or interesting data points can be identified by stating their ______ and commenting on their distance from the trend line.

    <p>coordinates</p> Signup and view all the answers

    Match the elements of a scatter graph to their descriptions:

    <p>Direction = Indicates the relationship trend, either positive or negative Strength = Describes the intensity of the relationship based on clustering Clusters = Groups of data points that are closer together Unusual Points = Data points that stand out from the overall pattern</p> Signup and view all the answers

    What type of data must be used for a relationship investigation involving two numeric variables?

    <p>Numeric data</p> Signup and view all the answers

    There is a fixed point in the enquiry process where explanations must be located.

    <p>False</p> Signup and view all the answers

    What should students consider when dealing with variation in collected data?

    <p>Students should consider how the variation can or should be managed.</p> Signup and view all the answers

    The overall context of the data should include the context of the ______ and how it was collected.

    <p>variables</p> Signup and view all the answers

    Which of the following is NOT a type of question students may answer about data?

    <p>What are the real-world applications of this data?</p> Signup and view all the answers

    Natural variation within data values is not necessary for meaningful relationship analysis.

    <p>False</p> Signup and view all the answers

    What sources of variation may still be present in the data?

    <p>Natural variation, measurement error, or bias in data collection.</p> Signup and view all the answers

    Match the following types of data with their descriptions:

    <p>Numeric Data = Represents measurable quantities Categorical Data = Represents categories or groups Continuous Data = Can take any value within a range Discrete Data = Can only take specific values</p> Signup and view all the answers

    What is a criterion for making a call for a sample to population?

    <p>The sample must be random</p> Signup and view all the answers

    Using the ¾ - ½ rule is only applicable for samples of size 100 or more.

    <p>False</p> Signup and view all the answers

    What should be observed visually to make a call in samples of size 100 or more?

    <p>The distance between the medians as a proportion of overall visible spread.</p> Signup and view all the answers

    In samples of size 20-40, a call should be made using the _____ rule.

    <p>¾ - ½</p> Signup and view all the answers

    Match the following terms with their descriptions:

    <p>Random sample = Every member has an equal chance of selection Quartiles = Values that divide data into four equal parts Clusters = Grouping of data points in a dataset Unusual data points = Specific values that stand out from the rest</p> Signup and view all the answers

    Which of the following is necessary for good statistical practice?

    <p>Including summary statistics</p> Signup and view all the answers

    If there is no overlap between the middle 50% sections, a call cannot be made.

    <p>False</p> Signup and view all the answers

    What is one visual method that can help support understanding of data distribution?

    <p>Stem and leaf plot or histogram.</p> Signup and view all the answers

    What is a critical component of the introduction or purpose statement for an investigation?

    <p>An investigative statement or question</p> Signup and view all the answers

    Students are required to include a minimum of two separate instances of contextual thinking and two separate instances of statistical thinking.

    <p>False</p> Signup and view all the answers

    What should students reflect on during the inquiry process?

    <p>The inquiry process they have undertaken</p> Signup and view all the answers

    Students must explain the source of the ______ they use in their investigation.

    <p>data</p> Signup and view all the answers

    Why is it important to discuss where data comes from?

    <p>To understand its reliability</p> Signup and view all the answers

    Which of the following is NOT a source of variation in the data collection process?

    <p>Response option variation</p> Signup and view all the answers

    Match the following data sources with their descriptions:

    <p>Primary Data = Data collected firsthand by the researcher Secondary Data = Existing data obtained from other sources Quantitative Data = Numerical data that can be measured Qualitative Data = Descriptive data that provides insights</p> Signup and view all the answers

    The conclusion should answer the investigative question without considering the context.

    <p>False</p> Signup and view all the answers

    Measurement variation can arise from inconsistencies in data such as height or speed.

    <p>True</p> Signup and view all the answers

    What factors should be explained that influence the quality and reliability of data?

    <p>The source of the data and how it was collected</p> Signup and view all the answers

    What practice is suggested to lead to increased ability in activities such as throwing a foreign object?

    <p>Continued practice</p> Signup and view all the answers

    Data such as age or shoe sizes with only 3 or 4 response options would not produce a viable data set due to insufficient __________.

    <p>variation</p> Signup and view all the answers

    Match the type of variation with its example:

    <p>Natural variation = Shoe sizes Occasion-to-occasion variation = Blood pressure Measurement variation = Throwing distance Induced variation = Weather conditions during data collection</p> Signup and view all the answers

    What is a line of best fit commonly used for?

    <p>To predict the outcome based on a trend</p> Signup and view all the answers

    Formal regression analysis is required at the stated level of data collection.

    <p>False</p> Signup and view all the answers

    What must be considered to understand the source of variation in activities requiring practice?

    <p>The number of attempts or amount of practice</p> Signup and view all the answers

    What method can be used for making predictions from a graph?

    <p>Both visual inspection and substitution into the line of best fit equation</p> Signup and view all the answers

    The exemplar marking schedules define what is required for the standard.

    <p>False</p> Signup and view all the answers

    What is one example of a graphical addition that a student might make to their graph?

    <p>train tracks</p> Signup and view all the answers

    A prediction can be made using either visual inspection of the graph or ______ into the line of best fit equation.

    <p>substitution</p> Signup and view all the answers

    Match the following activities related to graphing:

    <p>Visual Inspection = Making predictions based on observation Substitution = Applying values to an equation Adding Elements = Enhancing the visual presentation of the graph Line of Best Fit = A graphical representation of data trends</p> Signup and view all the answers

    What do marking schedules offer?

    <p>Examples of possible student responses</p> Signup and view all the answers

    The student response example is part of the requirements for the standard.

    <p>False</p> Signup and view all the answers

    What is the purpose of a line of best fit?

    <p>To represent the trend in the data</p> Signup and view all the answers

    Study Notes

    Achievement Standard 1.1 (91944): Explore Data Using a Statistical Enquiry Process

    • Students explore data using a structured approach, a statistical enquiry process
    • This could include resources like CensusAtSchool New Zealand, Kaggle, Gapminder, and NZ.Stat
    • A statistical inquiry process, including the Statistical Enquiry Cycle (PPDAC), is used
    • Students communicate findings in context, such as verbal presentations with visuals or written reports
    • Merit-level involves completing the process with an introduction/purpose and a conclusion, including an investigative statement or question
    • Merit-level students may address where data came from, how it was collected (including variation), why the data was collected, who benefits from the investigation, or expectations of findings (hypothesis thinking)
    • Question/investigative statements are not required to be created by student; teachers should ensure well-formed statements are used
    • Students may refer to teacher guidance for examples of questions/statements
    • Excellence: Incorporates contextual and statistical thinking in at least two places, and reflect on the inquiry process

    Source of the Data

    • Students explain the source and how the data was collected for primary data
    • For secondary data, explanations include where it came from and its reliability
    • Factors influencing data quality, such as variation in primary data collection, are explained
    • Secondary data may have been managed in different ways

    Relationships Between 2 Numeric Variables

    • Students understand and answer questions about data, including the following:
    • How numeric and categorical data can be collected
    • Context of the data and its variables
    • Types of variation during data collection
    • How to manage variation
    • Appropriate visualisations
    • Useful measures (e.g., statistics)
    • What makes a good scatter graph (with 'y' vs 'x' title)
    • Data for this must be numeric

    Time Series Investigations

    • Sources of variation in data collection processes, such as:
    • Natural or real variation
    • Occasion-to-occasion variation (e.g., speed/aptitude tests improving with practice)
    • Measurement variation (e.g., measuring body temperature or an object's mass)
    • Induced variation (e.g., consistency of conditions in data collection)
    • Sample variation (variation during sampling)

    Probability Investigations

    • Students understand and answer questions including: types of experiments/data collection, data context, data variation, how to manage variation in data, suitable types of visualisations, and appropriate statistical measures.
    • Visualization features, like clusters, unusual/interesting data points, shape, centre, and spread.

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    NCEA Level 1 Achievement Standard 1.1 (91944) PDF

    Description

    This quiz focuses on exploring data using a structured statistical enquiry process. Students will utilize resources like CensusAtSchool New Zealand and address aspects such as data collection methods and findings communication. The emphasis is on understanding the Statistical Enquiry Cycle (PPDAC) and presenting findings effectively.

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