Data Analysis: Part 5

Mid Unit Test Review

Data Analysis: Part 5 • DATA ANALYSIS• Students will demonstrate understanding of data analysis by posing

questions to be answered by collecting data. Students will organize, represent, investigate, interpret, and make inferences from data. They will use regression to analyze data and to make inferences.

• 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 5

• 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 5

EQ: How do you think sample size will affect the sample distribution? How does sampling affect the sample distribution?

Today we learn how sample size and different types of sampling technique affect sample

results!!

Data Analysis: Part 5

• Activation: Name the four sampling techniques. State the

similarities and differences among them.

Data Analysis: Part 5

Interquartile Range- the range (difference) between the Upper Quartile Median (Q3) and the Lower Quartile Median (Q1).

To Calculate Interquartile RangeStep 1: Find the median for the upper and lower

quartile of a data setStep 2: Subtract the lower quartile median from

the upper quartile median

Data Analysis: Part 5

Data Analysis can be displayed visually by the following:

Box and Whisker PlotDraw a box whisker plot for three different data

set on the same paperData Set 1 : 10, 5, 20, 15, 25

Data Set 2: 40, 30,10, 5, 20, 15, 25Data Set 3: 65,55,40,30,10,5,20,15,25

Data Analysis: Part 5

How did the sample size affect the sampling distribution?

• The larger a sample size the more representative of the whole population (closer to the population mean)

• The larger a sample size the closer the distance (standard deviation) each data point is the mean of the whole population

Data Analysis: Part 5

Entering Data into TX-30X II2nd STAT

Enter 1-VARDATA

Enter 1st data pointDownward Arrow (FRQ=1)

Next data pointsEnter

Data Analysis: Part 5

The View the Calculator DataSTATVAR

Right arrow buttonn= number of data points

x=meanSx= the sample standard deviation

σx= the population standard deviation∑x= the sum of the scores

∑x²=the sum of the squares

Data Analysis: Part 5

Reviewing Data Points2nd STATVAR

YEnter

Data Analysis: Part 5

Facts When Comparing Sampling Size• The size of a sample affects the sample

distribution• The larger the sample size, the more

accurately it will reflect the total population

Data Analysis: Part 5

Homework: Study for Test!!!!!!!!!

Data Analysis: Part 5

Activation: Name the four sampling techniques. State the similarities and differences among them.

Instruction: Notes comparing different sampling techniques

Work: Review Summary Statistical CalculationsAssessment: Unit 4 Mid Unit TestSummary: Pre Test Question and Answer

Session/Unit Study Guide