## Footprints Lab in Discovering Z-Score

Students will calculate z-score

Students will draw conclusions in real-world contexts based on z-score

Students will master calculating mean absolute and standard deviation.

Students will calculate z-score

Students will draw conclusions in real-world contexts based on z-score

Students will master calculating mean absolute and standard deviation.

- Given data, including data in a real-world context, students will calculate and interpret the mean absolute deviation of a data set.
- Students will identify that descriptive statistics (mean absolute deviation, standard deviation, etc.) may include measures of center and dispersion.
- Students will understand that knowing the mean deviation of a set of data helps us make decisions about data. If a set of deviation has a small mean deviation, then most of its points are close to the mean. The larger the mean deviation gets, the more variability there is in the data and there are more data points not close to the mean in value.
- Students will understand that the mean deviation can be used to help predict the reliability and dependability of certain objects. This may be important or critical when it comes to real-life situation which allows a small margin of error.
- Variance, standard deviation, and mean absolute deviation measure the dispersion of the data.

- Given data, including data in a real-world context, students will calculate and interpret the mean absolute deviation of a data set.
- Students will identify that descriptive statistics (mean absolute deviation, standard deviation, etc.) may include measures of center and dispersion.
- Students will understand that variance, standard deviation, and mean absolute deviation measure the dispersion of the data.
- Students will identify that the sum of the deviations of data points from the mean of a data set is 0.

- Student will understand that statistics includes gathering, displaying, analyzing, interpreting, and making predictions about a larger group of data from a sample data.
- Students will understand that mean is a measure of central tendency and the center of the deviation or the “balance point”.
- Students will understand and interpret statistical values and how they are related to and affected by elements of the data set.
- Students will understand how variability, the distance/deviation from the mean, is relative to the mean and is critical to interpreting the Mean Absolute Deviation, Variance, and Standard Deviation.
- Students will understand the following vocabulary words and be able to calculate and interpret their values:
**mean, mean absolute deviation, standard deviation, variance, z-score.**