ACT Science Flashcards: Interpreting Data From Diagrams

What this deck covers

This deck focuses on Interpreting Data From Diagrams, giving you a quick way to review the definitions, rules, and examples that matter most for ACT Science.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What term describes the central value in a box plot?

Answer: The median is the central value in a box plot. The median divides the data into two equal halves.

Flashcard 2: What is the formula for calculating the mean of a data set?

Answer: Mean = $\frac{\sum x}{n}$, where $x$ is each value and $n$ is the number of values. Sum all values and divide by the count of values.

Flashcard 3: Which option best describes an outlier on a scatterplot diagram?

Answer: A point far from the overall pattern of the data. Outliers deviate significantly from the main data trend.

Flashcard 4: What is the formula for calculating the mean of a data set?

Answer: Mean = $\frac{\sum x}{n}$, where $x$ is each value and $n$ is the number of values. Sum all values and divide by the count of values.

Flashcard 5: Find the range in the data set: 5, 7, 8, 9, 15.

Answer: The range is 10. Range equals maximum minus minimum (15-5=10).

Flashcard 6: Identify the median of the set $\{2, 3, 9, 10, 11\}$ as it would appear in a box-and-whisker diagram.

Answer: $9$. The median is the middle value in an ordered dataset.

Flashcard 7: Identify the part of a graph that shows the data series.

Answer: The legend shows the data series. Legends identify different data sets or categories.

Flashcard 8: What is the definition of average rate of change between $(x_1, y_1)$ and $(x_2, y_2)$?

Answer: $\frac{y_2 - y_1}{x_2 - x_1}$. Average rate measures total change divided by total interval.

Flashcard 9: What is a key feature of a scatter plot?

Answer: A scatter plot displays individual data points. Each point represents one observation with x and y coordinates.

Flashcard 10: Identify the central line in a box plot.

Answer: The central line represents the median. The central line inside the box shows the median.

Flashcard 11: Identify $\Delta y$ between points $(3, 4)$ and $(3, 9)$ on a graph.

Answer: $5$. $\Delta y$ is the vertical change: $9 - 4 = 5$.

Flashcard 12: What does a positive slope indicate about the relationship between $x$ and $y$?

Answer: As $x$ increases, $y$ increases. Positive slope means both variables change in the same direction.

Flashcard 13: What does a negative slope indicate about the relationship between $x$ and $y$?

Answer: As $x$ increases, $y$ decreases. Negative slope means variables change in opposite directions.

Flashcard 14: Which option indicates interpolation when reading a diagram?

Answer: Estimating values between plotted data points. Interpolation estimates values within the measured data range.

Flashcard 15: Which graph type is best for showing trends over time?

Answer: A line graph is best for showing trends over time. Connecting points shows how data changes over time.

Flashcard 16: Identify which diagram type uses sectors to represent parts of a whole.

Answer: A pie chart uses sectors. Sectors are wedge-shaped portions of the circle.

Flashcard 17: What does a box plot visually display?

Answer: A box plot displays data distribution and variability. Shows quartiles, median, and potential outliers clearly.

Flashcard 18: Identify the average rate of change from $(1, 2)$ to $(5, 14)$.

Answer:

1. Rate = $\frac{14-2}{5-1} = \frac{12}{4} = 3$

Flashcard 19: What is the meaning of an axis "break" (zigzag) in a data diagram?

Answer: A section of the scale is omitted to compress the axis. Axis breaks save space by skipping unused scale regions.

Flashcard 20: Find the median in this data set: 2, 4, 7, 10, 12.

Answer: The median is 7. 7 is the middle value when data is arranged in order.

Flashcard 21: Identify the median of the set $\{2, 3, 9, 10, 11\}$ as it would appear in a box-and-whisker diagram.

Answer: $9$. The median is the middle value in an ordered dataset.

Flashcard 22: What is the independent variable in a diagram when one axis is labeled "Time (s)"?

Answer: Time (s). The independent variable is controlled and plotted on the horizontal axis.

Flashcard 23: Which type of diagram is best for showing proportions?

Answer: A pie chart is best for showing proportions. Sectors represent percentage of the total.

Flashcard 24: Find the median in this data set: 2, 4, 7, 10, 12.

Answer: The median is 7. 7 is the middle value when data is arranged in order.

Flashcard 25: Determine the outlier in the set: 1, 2, 2, 3, 20.

Answer: The outlier is 20. 20 is far from the other clustered values.

Flashcard 26: What is the dependent variable in a diagram when the vertical axis is labeled "Temperature (°C)"?

Answer: Temperature (°C). The dependent variable responds to changes and is plotted vertically.

Flashcard 27: What does a bar chart primarily compare when interpreting a diagram?

Answer: Values across discrete categories. Bar charts show discrete category comparisons side by side.

Flashcard 28: What is the correct reading order for interpreting a labeled scientific diagram?

Answer: Title, axes/labels, units, legend, then data patterns. Start with title and labels to understand context before analyzing data.

Flashcard 29: What is the definition of slope on a graph of $y$ versus $x$?

Answer: $\frac{\Delta y}{\Delta x}$. Slope measures the rate of change of $y$ with respect to $x$.

Flashcard 30: What is the purpose of grid lines in a graph?

Answer: Grid lines help in reading data values accurately. Grid lines provide reference points for precise measurements.

Flashcard 31: What does a line graph primarily emphasize when interpreting a diagram?

Answer: Trends or changes across a continuous variable. Line graphs connect points to show continuous variable patterns.

Flashcard 32: Identify the $y$-intercept if a line crosses the $y$-axis at $(0, -3)$.

Answer: $-3$. The $y$-intercept is the $y$-coordinate where $x = 0$.

Flashcard 33: What does a horizontal line on a $y$ versus $x$ graph indicate about $y$ as $x$ changes?

Answer: $y$ is constant as $x$ changes. A horizontal line shows no change in the dependent variable.

Flashcard 34: Identify the measure of central tendency that is most sensitive to outliers.

Answer: The mean is most sensitive to outliers. Extreme values greatly affect the mean calculation.

Flashcard 35: What is the definition of slope on a graph of $y$ versus $x$?

Answer: $\frac{\Delta y}{\Delta x}$. Slope measures the rate of change of $y$ with respect to $x$.

Flashcard 36: Calculate the range of the data set: 4, 7, 9, 10, 12.

Answer: The range is 8. Range equals maximum value minus minimum value (12-4=8).

Flashcard 37: Which option indicates extrapolation when reading a diagram?

Answer: Estimating values outside the plotted data range. Extrapolation extends trends beyond the measured data range.

Flashcard 38: Identify the conclusion if a diagram shows variable $A$ increasing while variable $B$ decreases consistently.

Answer: Negative correlation between $A$ and $B$. Consistent opposite changes indicate negative correlation.

Flashcard 39: What does a diagram legend (key) identify in a multi-series graph?

Answer: Which symbol or color corresponds to each data set. The legend maps symbols/colors to different data series for identification.

Flashcard 40: How is data variability often represented in a graph?

Answer: Data variability is often represented by error bars. Error bars show uncertainty or standard deviation.

Flashcard 41: What is the dependent variable in a diagram when the vertical axis is labeled "Temperature (°C)"?

Answer: Temperature (°C). The dependent variable responds to changes and is plotted vertically.

Flashcard 42: What is indicated by closely packed contour lines on a map?

Answer: Closely packed lines indicate a steep gradient. Close lines mean rapid elevation change over short distance.

Flashcard 43: What is the correct reading order for interpreting a labeled scientific diagram?

Answer: Title, axes/labels, units, legend, then data patterns. Start with title and labels to understand context before analyzing data.

Flashcard 44: What is the slope of a line passing through $(3, 1)$ and $(3, 10)$?

Answer: Undefined. Vertical lines have undefined slope since $\Delta x = 0$.

Flashcard 45: What feature of a diagram indicates the spread of data?

Answer: The range indicates the spread of data. Range shows the difference between highest and lowest values.

Flashcard 46: What does a negative slope indicate about the relationship between $x$ and $y$?

Answer: As $x$ increases, $y$ decreases. Negative slope means variables change in opposite directions.

Flashcard 47: Determine the outlier in the set: 1, 2, 2, 3, 20.

Answer: The outlier is 20. 20 is far from the other clustered values.

Flashcard 48: What does a scatterplot primarily show when interpreting a diagram?

Answer: Association or correlation between two variables. Scatterplots reveal relationships between two continuous variables.

Flashcard 49: What is the slope of a line passing through $(0, 7)$ and $(4, 7)$?

Answer: $0$. Horizontal lines have zero slope since $\Delta y = 0$.

Flashcard 50: What does a line graph primarily emphasize when interpreting a diagram?

Answer: Trends or changes across a continuous variable. Line graphs connect points to show continuous variable patterns.

Flashcard 51: What is the formula to calculate slope from a line graph?

Answer: Slope = $\frac{y_2 - y_1}{x_2 - x_1}$. Uses the change in y over change in x between two points.

Flashcard 52: What does a scatterplot primarily show when interpreting a diagram?

Answer: Association or correlation between two variables. Scatterplots reveal relationships between two continuous variables.

Flashcard 53: What is the term for the most frequently occurring value in a data set?

Answer: The mode is the most frequently occurring value. Mode identifies the value with highest frequency.

Flashcard 54: What does the area under a curve represent in a velocity-time graph?

Answer: The area represents displacement. Area under velocity curve equals distance traveled.

Flashcard 55: What is the term for the most frequently occurring value in a data set?

Answer: The mode is the most frequently occurring value. Mode identifies the value with highest frequency.

Flashcard 56: Which axis typically represents dependent variables?

Answer: The y-axis represents dependent variables. Dependent variables respond to changes in independent variables.

Flashcard 57: Find the mode in the data set: 1, 2, 2, 3, 4.

Answer: The mode is 2. 2 appears twice, more than any other value.

Flashcard 58: Which feature of a graph is used to explain symbols or colors?

Answer: The legend explains symbols or colors. Legends decode the meaning of visual elements.

Flashcard 59: Which option indicates extrapolation when reading a diagram?

Answer: Estimating values outside the plotted data range. Extrapolation extends trends beyond the measured data range.

Flashcard 60: Which diagram type is used to show hierarchical data?

Answer: A tree diagram shows hierarchical data. Tree structure shows parent-child relationships and levels.

Flashcard 61: Identify the quartile that represents the median of the lower half of data.

Answer: The first quartile (Q1) represents this median. Q1 is the 25th percentile of the data set.

Flashcard 62: What is the primary use of a Venn diagram?

Answer: A Venn diagram shows logical relationships between sets. Overlapping circles show shared characteristics between groups.

Flashcard 63: In a graph, what does a positive correlation look like?

Answer: Data points form an upward trend. Points slope upward from left to right.

Flashcard 64: Which type of diagram is best for showing proportions?

Answer: A pie chart is best for showing proportions. Sectors represent percentage of the total.

Flashcard 65: Identify the average rate of change from $(1, 2)$ to $(5, 14)$.

Answer: $3$. Rate = $\frac{14-2}{5-1} = \frac{12}{4} = 3$.

Flashcard 66: What feature of a diagram indicates the spread of data?

Answer: The range indicates the spread of data. Range shows the difference between highest and lowest values.

Flashcard 67: What does the slope of a line indicate in a distance-time graph?

Answer: The slope indicates speed or velocity. Steeper slopes indicate faster movement or higher speeds.

Flashcard 68: How is data variability often represented in a graph?

Answer: Data variability is often represented by error bars. Error bars show uncertainty or standard deviation.

Flashcard 69: Identify the extrapolated value of $y$ at $x = 6$ if a line through $(0, 2)$ and $(4, 10)$ continues linearly.

Answer: $14$. Line has slope $\frac{10-2}{4-0} = 2$, so $y = 2 + 2(6) = 14$.

Flashcard 70: What is the equation form for a line that passes through the origin on a $y$ vs. $x$ graph?

Answer: $y = mx$. Lines through the origin have no $y$-intercept term.

Flashcard 71: Which graph type is most appropriate for categorical data?

Answer: A bar graph is appropriate for categorical data. Categories are distinct groups that don't have numerical order.

Flashcard 72: Which feature of a graph is used to explain symbols or colors?

Answer: The legend explains symbols or colors. Legends decode the meaning of visual elements.

Flashcard 73: What does a horizontal line on a $y$ versus $x$ graph indicate about $y$ as $x$ changes?

Answer: $y$ is constant as $x$ changes. A horizontal line shows no change in the dependent variable.

Flashcard 74: Which axis typically represents dependent variables?

Answer: The y-axis represents dependent variables. Dependent variables respond to changes in independent variables.

Flashcard 75: What is the primary use of a Venn diagram?

Answer: A Venn diagram shows logical relationships between sets. Overlapping circles show shared characteristics between groups.

Flashcard 76: Identify the graphical representation that compares parts to a whole.

Answer: A pie chart compares parts to a whole. Each sector represents a portion of the total.

Flashcard 77: What is the meaning of an axis "break" (zigzag) in a data diagram?

Answer: A section of the scale is omitted to compress the axis. Axis breaks save space by skipping unused scale regions.

Flashcard 78: Which option indicates interpolation when reading a diagram?

Answer: Estimating values between plotted data points. Interpolation estimates values within the measured data range.

Flashcard 79: Identify the percent increase from $20$ to $25$ as read from a diagram.

Answer: $25\%$. Percent increase: $\frac{25-20}{20} \times 100\% = 25\%$.

Flashcard 80: Identify the percent increase from $20$ to $25$ as read from a diagram.

Answer: $25\%$. Percent increase: $\frac{25-20}{20} \times 100\% = 25\%$.

Flashcard 81: Find the mode in the data set: 1, 2, 2, 3, 4.

Answer: The mode is 2. 2 appears twice, more than any other value.

Flashcard 82: What does a vertical line on an $x$-$y$ plot indicate about $x$?

Answer: $x$ is constant at one value. A vertical line indicates the independent variable doesn't change.

Flashcard 83: What does a histogram display?

Answer: A histogram displays frequency distribution of continuous data. Shows how often values occur within specific intervals.

Flashcard 84: Identify the range of the set $\{4, 4, 6, 9\}$ as summarized from a diagram.

Answer: $5$. Range is the difference between maximum and minimum values.

Flashcard 85: What term describes the central value in a box plot?

Answer: The median is the central value in a box plot. The median divides the data into two equal halves.

Flashcard 86: Identify the quartile that represents the median of the lower half of data.

Answer: The first quartile (Q1) represents this median. Q1 is the 25th percentile of the data set.

Flashcard 87: What is the meaning of a "log scale" axis in a scientific diagram?

Answer: Equal spacing represents equal ratios, not equal differences. Log scales compress large ranges using multiplicative intervals.

Flashcard 88: Which option best describes a direct proportional relationship on a diagram?

Answer: A straight line through the origin. Direct proportion means $y$ increases proportionally with $x$ through origin.

Flashcard 89: Identify the measure of central tendency that is most sensitive to outliers.

Answer: The mean is most sensitive to outliers. Extreme values greatly affect the mean calculation.

Flashcard 90: What is the definition of average rate of change between $(x_1, y_1)$ and $(x_2, y_2)$?

Answer: $\frac{y_2 - y_1}{x_2 - x_1}$. Average rate measures total change divided by total interval.

Flashcard 91: Find the range in the data set: 5, 7, 8, 9, 15.

Answer: The range is 10. Range equals maximum minus minimum (15-5=10).

Flashcard 92: What does a vertical line on an $x$-$y$ plot indicate about $x$?

Answer: $x$ is constant at one value. A vertical line indicates the independent variable doesn't change.

Flashcard 93: Identify the axis that typically represents independent variables.

Answer: The x-axis represents independent variables. Independent variables are manipulated or controlled in experiments.

Flashcard 94: In a histogram, what does the width of each bar represent?

Answer: The width represents the interval or bin width. Width defines the range of values in each group.

Flashcard 95: In a histogram, what does the width of each bar represent?

Answer: The width represents the interval or bin width. Width defines the range of values in each group.

Flashcard 96: What is the meaning of a "log scale" axis in a scientific diagram?

Answer: Equal spacing represents equal ratios, not equal differences. Log scales compress large ranges using multiplicative intervals.

Flashcard 97: What is the definition of percent change from an initial value $A$ to a final value $B$?

Answer: $\frac{B - A}{A} \times 100\%$. Percent change measures relative change from the initial value.

Flashcard 98: What is the equation form for a line that passes through the origin on a $y$ vs. $x$ graph?

Answer: $y = mx$. Lines through the origin have no $y$-intercept term.

Flashcard 99: What is the slope of a line passing through $(0, 7)$ and $(4, 7)$?

Answer: $0$. Horizontal lines have zero slope since $\Delta y = 0$.

Flashcard 100: What does a histogram display?

Answer: A histogram displays frequency distribution of continuous data. Shows how often values occur within specific intervals.