Data Analysis: Part 4

Lesson 7.3 & 7.4

Data Analysis: Part 4

• MM2D1. Using sample data, students will make informal inferences about population means and standard deviations.

• a. Pose a question and collect sample data from at least two different populations.

• b. Understand and calculate the means and standard deviations of sets of data.

• c. Use means and standard deviations to compare data sets.

Data Analysis: Part 4

• d. Compare the means and standard deviations of random samples with the corresponding population parameters, including those population parameters for normal distributions.

• Observe that the different sample means vary from one sample to the next.

• Observe that the distribution of the sample means has less variability than the population distribution.

Data Analysis: Part 4

Activation: Warm Up pg. 317 & Motivator

Data Analysis: Part 4

EQ: In order to design and implement a statistical experiment on given data, what decisions must be made?

Today you will begin to learn about data analysis as we learn about different sampling techniques!!

Data Analysis: Part 4

• Stratified Random Sample- a random sample where the population is divided into two or more groups according to some criteria (called strata) such as grade level or geographical location

Data Analysis: Part 4

• Clustered Sample- a random sample where the population is divided into clusters based on some criteria such as homerooms, family members, or geographical locations. A clustered sample is especially helpful when the size of the clusters is UNKNOWN.

Data Analysis: Part 4

Example for Stratified Random SampleRefer to Problem #1 pg. 317 & Male Height chart on pg. 311 in Student Text

Data Analysis: Part 4

• Bias-The process of including too many data points that share a similar trait, not representative of the data.

• Fact- The are a number of decisions to be made when designing and implementing a statistical experiment such as: Defining a question, identifying a target population, choosing a sampling technique, etc.

Data Analysis: Part 4

Complete Problem #1 in Student Text Book pg. 323

Data Analysis: Part 4

Homework: Pg. 139-141 (1-2) Pg. 144-146 (1-7)

Data Analysis: Part 4

TOTD: 7, 11, 16, 32, 49, 65, 78, 94, 103Find the Mean, Median, Mode, Range,

Interquartile Range, Variance, and Standard Deviation

Data Analysis: Part 4

Activation: Warm Up pg. 317 & MotivatorInstruction: Notes on Stratified Random & Cluster SamplesWork: Complete Problem #1 in Student Text Book pg. 323Assessment: Unit 4 TestTOTD: Write the formulas to find the mean, median, range, variance, and standard deviation of data analysis