# Statistics and Probability 6.SP

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Statistics and Probability 6.SP
Unit 5 Statistics and Probability 6.SP

Statistical Questions
6.SP.1

Warm Up Describe how the two questions below are different.
How far did you travel to come to school this morning? How far did the students in your class travel to get to school this morning?

What is a statistical question?

Finding a Statistical Question
Label any questions on the strip as statistical using an “S” Let’s discuss your results. Now, reword any questions that could be changed into a strong statistical question, using the criteria from the video.

Numerical vs. Categorical
Think about the words and their root words. What does each mean? Which questions generate numerical data? Which questions generate categorical data? What is the difference?

Categorical and Numerical Questions
Look at the categorical and numerical questions worksheet. Identify the questions as C or N. Be prepared to defend your answer. How do we define categorical and numerical now? “What is your zip code?” and “How many siblings do you have?” What is the difference between these two questions?

Warm Up Is each question below statistical or not? Explain why or why not. How much time does a middle-schooler spend doing homework each week? What is the land area of Maryland? How many text messages did you send today? How often do Americans eat at restaurants?

Displaying Data as a Line Plot
Sarah wanted to know how much money her peers received as allowance. She surveyed her friends and recorded this data: \$15, \$0, \$5, \$10, \$3, \$4, \$10, \$6, \$5, \$10, \$0, \$6, \$8, \$8, \$14

Question Sorting: Take out the questions from yesterday. Cut them apart. Remove the non-statistical questions. Sort them into groups… categorical and numerical. Answer your questions to the best of your ability. Put your answers on the strips.

Activity Display the data that you are given.
Answer the following questions: What is the range or distribution of values? Are the peaks in the data? Where? Are there gaps in the data? Where?

Reviewing the data Go to the lab stations and view the data. Answer the following questions in your journal: What are the types of data displays at the station? Can you tell what the data shows at each station? How do you know? Can you tell the population at each station? Is there variability at each station?

Warm Up What is the difference between these two questions:
“What is my height?” “What is the height of all six graders at our school?” Even though both questions are numerical, which one is non-statistical? Why?

Displaying our data… Lets make a tally chart and a line plot for:
“How many pets do you have?” What other ways could we analyze this data? Analyze with mean, median, mode, etc,

Your Turn - Classwork In a group, you will receive a set of question strips with answers (we will limit to the statistical questions). First, create a tally chart of the data. Now, draw a line plot of the data. Does your line plot have a title? Units? A defined population? Describe your data – At what places do most of the points fall? Are there gaps? What is the mode?

Warm Up Solve and Graph on a number line 1. 3p – 4 ≤ x + 1 > 21

Describe your data by its center, spread and shape. Did you have any challenges in creating a tally chart or a line plot? How else could you analyze this data?

Warm Up Simplify 6 – 4x x Write the expression that is the perimeter of a rectangle whose length is 4 more than its width.

Questions with Variablility
How do you create a statistical question that has variability? A question has variability if the data collected can be analyzed using mean, median, etc. Does the zip code question have variability?

Lets Review – Statistical Questions
Numerical or Categorical Variability Population Center, Spread and Shape

Statistical Questions
Questions are Statistical because: they generate a variety of answers. Questions that generate numerical data have variability because the data can be statistically analyzed.

Warm Up: What was the highest score on the most recent test?
Is this question a sound statistical question? Why or why not? Rewrite the question to be a good statistical question.

Statistical Cycle

Vocabulary Term Definition Example Non-Example Statistical Question
Categorical Numerical Variability

Vocabulary Term Definition Example Non-Example Mean Median Mode Range

Warm Up Draw a line plot of the following data and describe the center and spread. Favorite Food Students Pancakes 3 Blueberry Muffin 4 Spaghetti with meatballs French Fries 10 Salad with Ranch dressing 2 Tuna Sandwich Chicken pot pie 1