Gizmos for Tennessee - Mathematics: Statistics (Academic Standards adopted 2021)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

1: : Sampling and Data

1a: : Understand the investigative process of statistics and differentiate between descriptive and inferential statistics.

1b: : Differentiate between a population and a sample.

1c: : Construct a simple random sample.

1e: : Determine when samples of convenience are acceptable and how sampling bias and error can occur.

1g: : Display and interpret qualitative data with graphs: pie graphs, bar graphs, and pareto charts.

1i: : Create a frequency distribution from a list of quantitative and/or qualitative data.

2: : Descriptive Statistics

2a: : Display and interpret graphs using quantitative data including stem-and-leaf plots, line graphs, and box plots.

2b: : Construct a histogram from a frequency distribution table.

2c: : Interpret data using histograms and time series graphs.

2e: : Recognize, describe, and calculate the measures of locations of data: quartiles, median, five number summary, interquartile range outliers, upper and lower fences, and percentiles.

2g: : Calculate and differentiate between different measures of center: mean, median, and mode.

2h: : Calculate the mean of a frequency distribution: GPA and weighted grade.

2i: : Interpret the shape of the distribution from a graph: normal/symmetric, skewed, or uniform.

2j: : Calculate and differentiate between different measures of spread: range, variance, and standard deviation.

3: : Probability

3a: : Understand and use terminology and symbols of probability.

3b: : List the elements of events and the sample space from an experiment.

3c: : Understand the concept of randomness: flipping a coin, rolling a die, and drawing a card from a standard 52 card deck.

3d: : Differentiate between and calculate different types of probabilities: empirical and theoretical.

3e: : Explain the Law of Large Numbers.

3f: : Calculate and interpret probabilities using the complement rule, addition rule, and multiplication rule.

3g: : Differentiate between and calculate probabilities for different types of events: independent, dependent, with or without replacement, conditional, and mutually exclusive.

4: : Discrete Random Variables

4a: : Identify the random variable in a probability experiment.

4b: : Recognize and understand discrete probability distribution functions.

4c: : Create a probability distribution for the values of a discrete random variable.

4d: : Use a probability function to determine probabilities associated with a discrete random variable.

4e: : Calculate and interpret the mean (expected value), variance, and standard deviation for discrete random variables and binomial probability distributions.

5: : Continuous Random Variables and the Normal Distribution

5b: : Use a probability density curve to describe a population, including a normal population.

6: : Central Limit Theorem

6d: : Apply the Central Limit Theorem to normal and non-normal populations and compute probabilities of a sample mean.

6f: : Assess the impact of sample size on sampling variability.

7: : Confidence Intervals

7e: : Find the point estimate and margin of error (error bound) when given a confidence interval.

7f: : Estimate the sample size necessary to estimate a population mean.

7i: : Estimate the sample size necessary to estimate a population proportion.

9: : Regression Correlation

9a: : Differentiate between the independent (explanatory variable, x) and the dependent (response variable, y) in a bivariate data set.

9b: : Create a scatter plot and determine the type of relationship that exists between two variables: positive or negative correlation and weak or strong correlation.

9c: : Calculate and interpret the correlation coefficient using technology.

9d: : Calculate the line of best fit and interpret the coefficient of determination.

9e: : Use the line of best fit to make conclusions about the relationship between two variables, understanding correlation does not imply causation.

9f: : Calculate a residual using the line of best fit.

9h: : For a given value of x, find the appropriate estimated value of y.

Correlation last revised: 4/17/2023

Tennessee - Mathematics: Statistics

Academic Standards | Adopted: 2021