Scientific Tables and Graphs

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Questions and Answers

What is the primary purpose of a scientific table?

  • To summarize the introduction and conclusion of a study.
  • To display data in a visually appealing format.
  • To replace the need for written explanations in a research paper.
  • To organize collected data and observations for easy analysis. (correct)

In a scientific table, repeating units for each variable within the data section is essential for clarity.

False (B)

What type of data is best suited for representation using a column graph?

Categorical data

When the independent variable is _______ and the dependent variable is _______, a pie chart can be used.

<p>categorical, numerical</p> Signup and view all the answers

Match the type of graph with its appropriate use case:

<p>Line graph = Used to show relationships between two continuous numerical variables. Column graph = Compares the frequencies or values of different categories. Pie chart = Shows how a whole is divided into different parts; good for proportions. Histogram = Displays the distribution of continuous numerical data, often grouped into intervals.</p> Signup and view all the answers

Which feature is NOT considered a standard practice for constructing a scientific table?

<p>Repeating units in each data cell for clarity. (B)</p> Signup and view all the answers

Line graphs are best used when the independent variable consists of categorical data and the dependent variable is numerical.

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

In the context of graphing, what is 'interpolation'?

<p>Estimating values within the range of measured data.</p> Signup and view all the answers

A graph typically requires both _______ and _______ gridlines, whereas a column graph typically requires only _______ gridlines.

<p>vertical, horizontal, horizontal</p> Signup and view all the answers

Match the data type with the recommended type of graph:

<p>Numerical and Continuous = Line graph Categorical (IV) and Continuous (DV) = Column graph Numerical, Grouped Data = Histogram Categorical Data showing parts of a whole = Pie Chart</p> Signup and view all the answers

Which type of graph is most suitable for displaying data that shows the distribution of test scores in a class?

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

For a scatterplot, the line of best fit must pass through all data points to accurately represent the relationship between variables.

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

Define what is meant by 'extrapolation' in the context of data analysis and graphing.

<p>Predicting values beyond the range of available data.</p> Signup and view all the answers

In a dataset, an _______ is an inaccurate data point caused by a mistake, and should not be included in a line of best fit.

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

Match the graph description to its slope characteristic:

<p>Rising Line = Positive Slope Falling Line = Negative Slope Horizontal Line = Zero Slope Vertical Line = Undefined Slope</p> Signup and view all the answers

Which of the following describes a non-linear curved graph where the rate at which the curve is rising decreases?

<p>Concave Up, Increasing (C)</p> Signup and view all the answers

Histograms are most appropriately used when the independent variable's data is categorical.

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

What is the purpose of a line of best fit in a scatterplot?

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

In the context of data representation, _______ refers to data that can be counted using whole counting numbers, whereas _______ refers to data that is collected on a measuring scale.

<p>Discrete, Continuous</p> Signup and view all the answers

Match the data type with its definition:

<p>Categorical Data = Non-numerical data that represents categories or qualities. Numerical Data = Consists of numbers representing counts or measurements. Nominal Data = Categorical data without any intrinsic order. Ordinal Data = Categorical data with a meaningful order or ranking.</p> Signup and view all the answers

A researcher is studying the relationship between hours of sunlight and plant growth. Both variables are continuous and numerical. Which type of graph would be most appropriate?

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

In a well-constructed scientific table, the independent variable should be placed in the last column.

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

What is the distinction between a histogram and a column graph regarding the type of data they display?

<p>Histograms display grouped numerical data, and column graphs display categorical data.</p> Signup and view all the answers

For a pie chart to be appropriate, the dependent variable needs to be _______ because the pie chart needs to show the fraction of the total.

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

Match the data type with its example:

<p>Hours of sleep = Numerical continuous data % quiz score = Numerical continuous data Lemon Juice = Categorical nominal data Baking soda = Categorical nominal data</p> Signup and view all the answers

Which type of graph should a student use when the independent variable's data is numerical and continuous, and its data points can be groups into intervals?

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

In scatter plots and lines of best fit, the lines have to be straight ones.

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

In a dataset, explain when to use interpolation or extrapolation to estimate values?

<p>Interpolation to estimate values within the range of measured data, and extrapolation to predict values beyond the range of available data.</p> Signup and view all the answers

The slope of a _______ line is zero, while the slope of a _______ line is positive

<p>horizontal, rising</p> Signup and view all the answers

Match the data with a graph type:

<p>Categorical nominal data = Column graph Categories to show data for total number = Pie Chart Heights of Black Cherry Trees = Histogram Average Plant Growth versus pH of soil = Line graph</p> Signup and view all the answers

What is the purpose of tables, columns, and labels in a scientific table? (Select all that apply)

<p>Independent variable to be easily compared to the dependent variable. (B), To help the reader easily find the information they are looking for. (D)</p> Signup and view all the answers

If you had a table with categorical data and continuous data, a line graph would be the proper way to portray the data.

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

What are the independent and dependent variable axes on a graph?

<p>Dependent Variable is on the y axis and Independent Variable is on the x axis.</p> Signup and view all the answers

A graph is useful as it shows us how the change in the ________ variable affects the _______ variable

<p>independent, dependent</p> Signup and view all the answers

Match the definition with the type of data:

<p>Named categories = Nominal Categories with an implied order = Ordinal Only particular numbers = Discrete Any numeric value = Continuous</p> Signup and view all the answers

Why are graphs used to help interpret data? (Select all that apply)

<p>Graphs make it easier to read the information. (B), Graphs help find trends. (C), Graphs help interpret information. (D)</p> Signup and view all the answers

Tables can only contain one trial.

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

Describe how the outlier variable data is on a accuracy and outlier graph.

<p>Inaccurate data point that was caused by a mistake</p> Signup and view all the answers

When the independent variable is ______ data, and the dependent variable is numerical data, the graph to choose should be _______.

<p>categorical, pie</p> Signup and view all the answers

Match the description with the way you would describe the data:

<p>Is extended (see dotted purple line) and follows the same trend = Extrapolation Estimating from the line of best fit = Interpolation Used to show relationships between two continuous numerical variables. = Line graph Compare the frequencies or values of different categories. = Column graph</p> Signup and view all the answers

Which option best describes the role of a scientific table?

<p>To organize collected data and observations from an investigation. (B)</p> Signup and view all the answers

In a well-constructed scientific table, units for each variable should be repeated in every cell of the data column.

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

In a scientific experiment, a student measures the temperature change of a liquid at different time intervals. Identify the type of graph that would be MOST suitable for presenting this data, considering that both time and temperature are continuous numerical variables.

<p>line graph</p> Signup and view all the answers

For a dataset where the independent variable consists of distinct categories (e.g., types of soil) and the dependent variable contains numerical data (e.g., plant height), a ______ graph is the most appropriate visualization tool.

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

Match each description to the best description:

<p>Interpolation = Estimating the value for a data point within the range of measured data. Extrapolation = Predicting a data point beyond the range of measured data. Outlier = Inaccurate data point caused by a mistake or human error.</p> Signup and view all the answers

Flashcards

Scientific Table

A scientific table organizes collected data and observations made during an investigation.

IV placement in table

The independent variable (IV) always goes in the first column of the table.

Column Labeling

Each column must be labeled with the type of variable observed.

Variable Units

Units for each variable must be included in labels and not repeated throughout the table.

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Table Titles & Numbers

Tables are numbered and titled for easy reference and context.

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Table Borders

Tables are ruled with borders to clearly separate the data.

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Tables with multiple trials

A table that includes data from multiple trials conducted under the same testing conditions.

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Graphs

Graphs make it simpler to read, interpret information, and distinguish trends to draw conclusions.

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Categorical (Nominal) Data

Non-numerical values or qualitative data. Includes categories like brands and colors.

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Categorical (Ordinal) Data

Categorical data with an implied order or ranking, such as 'star ratings'.

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Numerical (Quantitative) Data

Numerical data is data related to numbers that can be counted or measured.

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Discrete Numerical Data

Data that can be counted using whole numbers: 1, 2, 3, 4, etc.

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Continuous Numerical Data

Data collected on a measuring scale, capable of taking on any value within a given range.

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Line Graphs

Both the IV and DV have continuous numerical data (ungrouped).

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Column Graph

The IV has categorical data, and the DV has continuous data.

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Nominal Data Set

A graph showing the frequency of categorical data (nominal).

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Ordinal Data Set

A graph showing the frequency of categorical data (ordinal).

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Histogram

Numerical data that is continuous and can be grouped in ranges.

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Pie Chart

The independent variable of a pie chart is categorical and the dependent variable is numerical.

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X Axis

The axis that represents the manipulative, independent variable.

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Y Axis

The axis that represents the responding, dependent variable.

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Line Graph Usefulness

Shows how the change in the independent variable affects the dependent variable.

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Simple Line Graph

A line graph that simply joins all the data points, suitable for showing general trends.

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Scatterplot

A graph used extensively in science to show the relationship between an IV and DV.

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Relationship descriptions

Summarizes curved relationships by generalizing lines to observe how y changes with x.

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Concave

Concave is the direct of the curve relative to the x-axis.

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Straight lines

Rising lines have a positive slope.

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Interpolation

Estimating from the line of best fit to the value for a data point that was not measured.

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Extrapolation

Predicting data beyond of the measured data range.

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Outlier

An inaccurate data point caused by a mistake or another error recorded in data

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Study Notes

Good Scientific Tables and Their Graphs

  • Scientific tables and graphs are essential tools for organizing, interpreting, and presenting data collected during investigations.

What is a Scientific Table?

  • A scientific table organizes collected data and observations made during an investigation.
  • Tables make it easier to read information, find patterns in the results, and aid analysis.

Features of a Good Scientific Table

  • The independent variable (IV) systematically occupies the first column, followed by the dependent variable (DV) column(s).
  • Each column should be clearly labeled with the type of variable observed.
  • Units for each variable are included with labels and are NOT repeated throughout the table.
  • The table should be provided with a number and descriptive title.
  • Tables should have ruled borders for clarity and organization.
  • Tables may include numerous trials and the average of the trials.

Graphing Tabulated Data

  • Graphs simplify interpreting information, identifying trends, and drawing conclusions from data.
  • The type of graph to use is determined by the data you have.

Types of Data

  • Categorical data are non-numerical or qualitative, and contain Nominal and Ordinal types.
  • The Nominal type refers to named categories like brands and colors.
  • The Ordinal type refers to categories with an implied order, such as star ratings or rankings (e.g., 1st, 2nd, 3rd).
  • Numerical data are quantitative and related to numbers.
  • Numerical data is categorized as Discrete or Continuous.
  • Discrete is data counted using whole counting numbers (1, 2, 3, 4, etc.)
  • Continuous is data collected on a measuring scale.

Tables and Graphs

  • Tables with numerical continuous data can be displayed on pH and growth scales, and can take on decimal values.
  • Data with both IV and DV is displayed as ungrouped continuous numerical data using line graphs.
  • Both vertical and horizontal gridlines are displayed on line graphs.
  • Data with a categorical IV and continuous DV is shown as a column graph.
  • Column graphs require only horizontal gridlines.

Categorical Data

  • A nominal data set's categorical data is displayed when using a column graph.
  • An ordinal data set's categorical data is displayed when using a column graph.

Graph Variables

  • Histograms use gaps.
  • Column graphs separate the different data categories.
  • The dependent variable goes on the y-axis.
  • The IV always goes on the x-axis.

Bar Graph and Histogram

  • Histograms are used when the independent variable (IV) is numerical, continuous, and can be grouped.
  • Data examples for a histogram would be groups like 0-3, 4-7, 8-11, etc.
  • Column graphs are used when the independent variable (IV) data is categorical.

Important Notes About Histograms

  • Data height of cherry trees must be numerical
  • Gaps between data of 5 feet are used to measure
  • Both vertical and horizontal gridlines are required, whereas column graphs only have horizontal gridlines.

Pie Charts

  • Pie charts are used when the independent variable (IV) is categorical and the dependent variable (DV) is numerical (a fraction/portion of the whole).
  • Pie charts show the fraction of the total.

Graph Selection

  • Choose a line graph when data is numerical and both data sets are measurements.
  • Choose Histograms when data is grouped and placed in intervals.
  • Choose pie charts when data is categorical and numerical, and when the data expressed as parts of a total.
  • Choose column graphs when each catergory has its own measurement.

Line Graphs

  • Line graphs show how changes in the independent variable affect the dependent variable.

Simple Line Graphs

  • Joins all the data points.

Scatterplot and Lines of Best Fit

  • Scatterplots are used in science, especially in chemistry and physics experiments, to look for strong relationships between independent (IV) and dependent (DV) variables.
  • Line in scatterplot can be smooth, straight or curved, and depends on where most of the data points sit.

Scatterplots Considerations

  • Scatterplots ideas can be curved or straight, and passes through some points.
  • No data points should be too far away from the line of best fit.
  • There is an equal number of data points above and below the line.

Describing Relationships

  • Graph A shows that acceleration changes as the force changes.
  • Graph B shows an investigation involving a change in the mass.

Describing Best Fit Curved Lines

  • This data displays a non-linear curve, displaying an increasing rate at which the curve rises.
  • Another non-linear curve displays a decreasing rate.
  • Concave up means it is increasing.
  • Concave down means it is decreasing.

Describing Straight Lines

  • Rising lines have a positive slope.
  • Falling lines have a negative slope.
  • Horizontal lines have a zero slope.
  • Vertical lines have an undefined slope.
  • The falling linear graph(negative slope).

Lines and Estimation

  • Estimating values from an existing data set is known as interpolation when dealing with a line of best fit.
  • Prediction by extending the line of best fit the value for a data point that is beyond the range of measurements is called extrapolation.
  • The line of best fit is extended following the same trend.

Accuracy

  • The outlier mark is an inaccurate data point.
  • The inaccurate data point was caused by a mistake or human error when the data was collected.
  • Do not include in a line of best fit.

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