Table & Graph Interpretation - ACT Math
Card 1 of 30
What does it mean if a graph is decreasing on an interval?
What does it mean if a graph is decreasing on an interval?
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As $x$ increases, $y$ decreases. The function has negative slope on that interval.
As $x$ increases, $y$ decreases. The function has negative slope on that interval.
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A table shows $x:2,3,4$ and $y:9,12,15$. Identify the rule in slope-intercept form.
A table shows $x:2,3,4$ and $y:9,12,15$. Identify the rule in slope-intercept form.
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$y=3x+3$. Slope is $3$, $y$-intercept is $3$: $y = 3x + 3$.
$y=3x+3$. Slope is $3$, $y$-intercept is $3$: $y = 3x + 3$.
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A graph shows a line with slope $-3$ passing through $(0,2)$. What is its equation?
A graph shows a line with slope $-3$ passing through $(0,2)$. What is its equation?
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$y=-3x+2$. Use slope-intercept form: $y = mx + b$.
$y=-3x+2$. Use slope-intercept form: $y = mx + b$.
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Find the slope of the line passing through points (2, 3) and (4, 7).
Find the slope of the line passing through points (2, 3) and (4, 7).
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The slope is 2. Using slope formula: $\frac{7-3}{4-2} = \frac{4}{2} = 2$.
The slope is 2. Using slope formula: $\frac{7-3}{4-2} = \frac{4}{2} = 2$.
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Determine the y-intercept in the function $f(x) = 4x - 5$.
Determine the y-intercept in the function $f(x) = 4x - 5$.
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The y-intercept is -5. The constant term when $x = 0$.
The y-intercept is -5. The constant term when $x = 0$.
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Identify the outlier in the dataset: 5, 7, 8, 9, 50.
Identify the outlier in the dataset: 5, 7, 8, 9, 50.
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The outlier is 50. Value significantly different from other data points.
The outlier is 50. Value significantly different from other data points.
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Determine the median of the dataset: 12, 15, 18, 22, 30.
Determine the median of the dataset: 12, 15, 18, 22, 30.
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The median is 18. Middle value in the ordered dataset.
The median is 18. Middle value in the ordered dataset.
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Find the mode in the dataset: 2, 4, 4, 6, 8.
Find the mode in the dataset: 2, 4, 4, 6, 8.
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The mode is 4. Mode is the value that appears most frequently.
The mode is 4. Mode is the value that appears most frequently.
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What is a bar graph used for?
What is a bar graph used for?
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To compare quantities across different categories. Bars represent discrete categories for comparison.
To compare quantities across different categories. Bars represent discrete categories for comparison.
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What is the definition of a histogram?
What is the definition of a histogram?
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A histogram is a bar graph representing the frequency distribution of data. Shows frequency distribution using adjacent bars.
A histogram is a bar graph representing the frequency distribution of data. Shows frequency distribution using adjacent bars.
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Identify the range in the dataset: 4, 7, 9, 10, 15.
Identify the range in the dataset: 4, 7, 9, 10, 15.
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The range is 11. Range equals maximum minus minimum: $15 - 4 = 11$.
The range is 11. Range equals maximum minus minimum: $15 - 4 = 11$.
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Identify the y-intercept in the equation $y = 3x + 7$.
Identify the y-intercept in the equation $y = 3x + 7$.
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The y-intercept is 7. The constant term in slope-intercept form $y = mx + b$.
The y-intercept is 7. The constant term in slope-intercept form $y = mx + b$.
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Find the range in the dataset: 2, 8, 10, 15, 24.
Find the range in the dataset: 2, 8, 10, 15, 24.
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The range is 22. Maximum minus minimum: $24 - 2 = 22$.
The range is 22. Maximum minus minimum: $24 - 2 = 22$.
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Identify the median in the dataset: 1, 3, 3, 6, 7, 8, 9.
Identify the median in the dataset: 1, 3, 3, 6, 7, 8, 9.
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The median is 6. Middle value in ordered list of 7 values.
The median is 6. Middle value in ordered list of 7 values.
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Identify the x-intercept in the equation $y = -2x + 10$.
Identify the x-intercept in the equation $y = -2x + 10$.
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The x-intercept is 5. Where the line crosses the x-axis when $y = 0$.
The x-intercept is 5. Where the line crosses the x-axis when $y = 0$.
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Find the mean of the dataset: 5, 15, 25, 35.
Find the mean of the dataset: 5, 15, 25, 35.
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The mean is 20. Sum divided by count: $(5+15+25+35)/4 = 20$.
The mean is 20. Sum divided by count: $(5+15+25+35)/4 = 20$.
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What is the primary use of a scatter plot?
What is the primary use of a scatter plot?
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To show the relationship between two variables. Points plotted to reveal correlations between variables.
To show the relationship between two variables. Points plotted to reveal correlations between variables.
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Determine the mode in the dataset: 3, 3, 6, 9, 9, 9.
Determine the mode in the dataset: 3, 3, 6, 9, 9, 9.
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The mode is 9. Value 9 appears three times, more than others.
The mode is 9. Value 9 appears three times, more than others.
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What is the definition of the mean in a dataset?
What is the definition of the mean in a dataset?
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The mean is the sum of all data points divided by the number of points. This is the standard statistical definition.
The mean is the sum of all data points divided by the number of points. This is the standard statistical definition.
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Determine the mode in the dataset: 6, 6, 7, 8, 9.
Determine the mode in the dataset: 6, 6, 7, 8, 9.
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The mode is 6. The most frequently occurring value.
The mode is 6. The most frequently occurring value.
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What does the slope represent in a linear graph?
What does the slope represent in a linear graph?
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The slope represents the rate of change between variables. Slope shows how $y$ changes as $x$ increases by one unit.
The slope represents the rate of change between variables. Slope shows how $y$ changes as $x$ increases by one unit.
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Identify the median in the dataset: 3, 5, 7, 9, 11.
Identify the median in the dataset: 3, 5, 7, 9, 11.
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The median is 7. Middle value when data is ordered from least to greatest.
The median is 7. Middle value when data is ordered from least to greatest.
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What does the correlation coefficient indicate?
What does the correlation coefficient indicate?
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It indicates the strength and direction of a linear relationship between variables. Ranges from -1 to 1, measuring linear association.
It indicates the strength and direction of a linear relationship between variables. Ranges from -1 to 1, measuring linear association.
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What is the primary feature of a pie chart?
What is the primary feature of a pie chart?
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A pie chart shows parts of a whole as slices of a circle. Circular representation of proportional data.
A pie chart shows parts of a whole as slices of a circle. Circular representation of proportional data.
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What does a line of best fit indicate in a scatter plot?
What does a line of best fit indicate in a scatter plot?
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It indicates the general direction or trend of the data. Best-fitting line shows overall pattern in data.
It indicates the general direction or trend of the data. Best-fitting line shows overall pattern in data.
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Which graph type is best for comparing multiple datasets?
Which graph type is best for comparing multiple datasets?
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A grouped bar chart. Shows multiple categories side by side for comparison.
A grouped bar chart. Shows multiple categories side by side for comparison.
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Find the mean of the dataset: 10, 20, 30, 40.
Find the mean of the dataset: 10, 20, 30, 40.
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The mean is 25. Sum of values divided by count: $(10+20+30+40)/4 = 25$.
The mean is 25. Sum of values divided by count: $(10+20+30+40)/4 = 25$.
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What is the formula for the slope of a line given points $(x_1, y_1)$ and $(x_2, y_2)$?
What is the formula for the slope of a line given points $(x_1, y_1)$ and $(x_2, y_2)$?
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$m = \frac{y_2 - y_1}{x_2 - x_1}$. Rise over run between any two points on the line.
$m = \frac{y_2 - y_1}{x_2 - x_1}$. Rise over run between any two points on the line.
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Which graph type is best for showing trends over time?
Which graph type is best for showing trends over time?
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A line graph. Line graphs effectively display data changes over time.
A line graph. Line graphs effectively display data changes over time.
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What does a box plot visually represent?
What does a box plot visually represent?
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A box plot represents the data's minimum, first quartile, median, third quartile, and maximum. Shows five-number summary of data distribution.
A box plot represents the data's minimum, first quartile, median, third quartile, and maximum. Shows five-number summary of data distribution.
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