What is a Relative Frequency Distribution?

A table showing each category with its relative frequency.

A graph showing the mean of a dataset.

A list of all possible outcomes in an experiment.

A chart displaying only the highest frequency.

Uses bars to display frequency or relative frequency for each category.

Shows the relationship between two numerical variables using points.

Displays data in a circular graph divided into sectors.

Represents data using lines connecting data points.

Pareto Chart: ________

A bar graph with bars ordered from highest to lowest frequency.

A line graph showing trends over time.

A scatter plot showing correlation between variables.

A pie chart representing parts of a whole.

A circular chart divided into slices representing category percentages.

A bar graph showing data over time.

A line graph connecting data points.

A table listing numerical data.

Side-by-Side Bar Graph: ________

A bar graph showing comparisons between two groups.

A graph that only displays one category.

A type of line graph used for trends.

A pie chart showing percentages.

Quantitative Data: ________

Numerical data that can be measured or counted.

Data that describes qualities or characteristics.

Data that cannot be measured numerically.

Data based on opinions or feelings.

Discrete Data: ________

Numerical data with countable values.

Continuous data with infinite values.

Data represented in graphical form.

Continuous Data: ________

Numerical data that can take any value within a range.

Categorical data with fixed groups.

Data that can only be counted in whole numbers.

Data that is always qualitative.

Cumulative Frequency: ________

Total number of observations less than or equal to a class.

Difference between highest and lowest values in a class.

Average of all class frequencies.

Number of classes in the data set.

Define: Lower Class Limit.

Smallest value included in a class.

Largest value included in a class.

Difference between upper and lower class boundaries.

Define: Upper Class Limit.

Largest value included in a class.

Smallest value included in a class.

The average of all class values.

The difference between the highest and lowest values in a class.

The difference between consecutive lower (or upper) class limits.

The sum of all class frequencies.

The midpoint of the highest and lowest class limits.

The product of class boundaries.

A bar graph for quantitative data where bars touch.

A type of pie chart used for categorical data.

A line graph showing trends over time.

A scatter plot for comparing two variables.

Define: Stem-and-Leaf Plot.

A graph where each value is split into a “stem” and “leaf.”

A plot that shows the frequency of data using bars.

A chart that displays data as slices of a circle.

A diagram that shows the relationship between two variables.

A graph that plots each data point above a number line.

A chart that uses bars to show frequencies of categories.

A diagram that shows parts of a whole as sectors of a circle.

A graph that displays data using connected line segments.

Define: Bell-Shaped (Normal) Distribution.

Symmetrical distribution with a single peak.

Distribution with two peaks and skewed left.

Uniform distribution with no peaks.

Distribution with a single trough and no symmetry.

Define: Uniform Distribution.

All values have approximately the same frequency—a flat shape.

Values are clustered around a central value—a bell shape.

Values are skewed to one side—an asymmetrical shape.

Values increase and then decrease—a bimodal shape.

Define: Skewed Right Distribution.

Tail is longer on the right; most values are on the left.

Tail is longer on the left; most values are on the right.

Tail is equally long on both sides; values are evenly distributed.

There is no tail; values are randomly distributed.

Fill in the blank: Skewed Left Distribution means _______.

Tail is longer on the left; most values are on the right.

Tail is longer on the right; most values are on the left.

The distribution is perfectly symmetrical.

All values are equally distributed.

Fill in the blank: A statistic is _______.

A value calculated from a sample.

A value calculated from a population.

A type of graph used in statistics.

Fill in the blank: A parameter is _______.

A value calculated from a population.

A value calculated from a sample.

Fill in the blank: Mean is _______.

The average: sum of all data divided by the number of observations.

The middle value when data is arranged in order.

The most frequently occurring value in a dataset.

Fill in the blank: Median is _______.

The middle value when data is ordered.

The sum of all values divided by the number of values.

The value that occurs most frequently.

Fill in the blank: Mode is _______.

The value(s) that occur most frequently.

The middle value when data is arranged in order.

Fill in the blank: Resistant Measure is _______.

A measure not affected by extreme values (outliers).

A measure that always increases with data size.

A measure that is only used for categorical data.

A measure that is sensitive to every data point.

What is the difference between the symbols used for population and sample for the following statistical measures?

Population vs Sample: - Size: N vs n - Mean: μ vs x̄ - Std Deviation: σ vs s - Variance: σ² vs s² - Proportion: p vs p̂

Population vs Sample: - Size: n vs N - Mean: x̄ vs μ - Std Deviation: s vs σ - Variance: s² vs σ² - Proportion: p̂ vs p

Population vs Sample: - Size: N vs n - Mean: σ vs s - Std Deviation: μ vs x̄ - Variance: p vs p̂ - Proportion: σ² vs s²

Population vs Sample: - Size: N vs n - Mean: p vs p̂ - Std Deviation: σ² vs s² - Variance: μ vs x̄ - Proportion: σ vs s

Difference between the largest and smallest observations (Max – Min).

Sum of all observations divided by the number of observations.

Product of the largest and smallest observations.

Difference between the mean and the median.

The average of the squared differences from the mean.

The sum of all data values divided by the number of values.

The difference between the highest and lowest values in a dataset.

The most frequently occurring value in a dataset.

Define Standard Deviation.

A measure of how spread out data is from the mean.

The sum of all data values divided by the number of values.

The difference between the highest and lowest values in a dataset.

A value that appears most frequently in a dataset.

What is Population Variance (σ²)?

Variance of an entire population.

Standard deviation of a population.

What is Population Standard Deviation (σ)?

Standard deviation of an entire population.

Sum of all data points in a population.

What is Sample Variance (s²)?

Variance computed from a sample.

Variance computed from a population.

The standard deviation of a sample.

What is Sample Standard Deviation (s)?

Standard deviation computed from a sample.

Sum of all data points in a sample.

Degrees of Freedom: ________ is the number of values free to vary.

The number of values free to vary, typically (n – 1) for a sample.

The sum of all observed values in a dataset.

The average of squared deviations from the mean.

The maximum value in a dataset.

In a normal distribution, what percentage of data falls within ±1 SD, ±2 SD, and ±3 SD?

~68% within ±1 SD, ~95% within ±2 SD, ~99.7% within ±3 SD

~50% within ±1 SD, ~75% within ±2 SD, ~90% within ±3 SD

~34% within ±1 SD, ~68% within ±2 SD, ~95% within ±3 SD

~70% within ±1 SD, ~85% within ±2 SD, ~99% within ±3 SD

How is the mean of grouped data calculated?

Calculated using midpoints multiplied by frequencies.

Calculated using the sum of the lower class boundaries.

Calculated using the highest frequency only.

Calculated using the difference between the highest and lowest values.

What is the modal class in a frequency distribution?

The class interval with the highest frequency.

The class interval with the lowest frequency.

The class interval with the smallest range.

The class interval with the median value.

What does the z-score represent in statistics?

The number of standard deviations a value is from the mean (z = (x – x̄) / s).

The probability of an event occurring in a normal distribution.

The average value of a data set.

The sum of all values divided by the number of values.

What is a percentile?

A value below which a given percentage of data falls.

A type of average used in statistics.

A method to calculate standard deviation.

What do quartiles do in a data set?

Values dividing data into four equal parts (Q2 is the median).

Values dividing data into two equal parts (Q2 is the mean).

Values dividing data into ten equal parts (Q2 is the mode).

Values dividing data into three equal parts (Q2 is the range).

How is the interquartile range calculated?

Range of the middle 50%: Q3 – Q1.

Sum of the highest and lowest values.

Difference between the mean and median.

Descriptive Statistics

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Descriptive Statistics

Quiz

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Mathematics

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12th Grade

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Practice Problem

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Hard

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CCSS

6.SP.B.5C, 6.SP.B.4, 8.SP.A.4

+22

Standards-aligned

Math Department

FREE Resource

70 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is Descriptive Statistics?

Methods for organizing, displaying, and describing data using tables, graphs, and summary measures.

Techniques for predicting future outcomes based on data trends.

Mathematical procedures for proving statistical theorems.

Processes for collecting raw data without any analysis.

Tags

CCSS.HSS.ID.A.4

MULTIPLE CHOICE QUESTION

A table showing each category and the number of occurrences.

A graph showing the relationship between two variables.

A list of all possible outcomes of an experiment.

A chart displaying the mean and median of data.

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