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: 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 2: 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 3: 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 4: 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 5: 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 6: 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 7: 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 8: 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 9: 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 10: What does a histogram display?

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

Flashcard 11: 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 12: Identify the maximum value from the data set: 5, 8, 12, 16.

Answer: The maximum value is 16. 16 is the largest value in the given set.

Flashcard 13: Determine the minimum value from this data set: 3, 6, 11, 15.

Answer: The minimum value is 3. 3 is the smallest value in the given set.

Flashcard 14: 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 15: 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 16: 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 17: Which type of graph uses lines to connect data points?

Answer: A line graph uses lines to connect data points. Lines show continuous change between data points.

Flashcard 18: 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 19: 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 20: 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 21: 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 22: What does the height of a bar in a bar graph represent?

Answer: The height represents the frequency or value of the data. Height corresponds to the measured quantity being displayed.

Flashcard 23: 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 24: Which axis typically represents dependent variables?

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

Flashcard 25: Identify the axis that typically represents independent variables.

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

Flashcard 26: 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 27: 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 28: 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 29: 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 30: 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.