Statistics & Probability

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Presentation transcript:

Statistics & Probability Page

Statistics Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. Statistical Questions - A statistical question is one that can be answered by collecting data and where there will be variability in that data. 1. How many days are in March? 2. How old is your dog? 3. On average, how old are the dogs that live on this street? 4. What proportion of the students at your school like watermelons? 5. What was the highest temperature today at City Hall?

What Is Data? Data is information. An example: In my sixth grade class we took a pizza lovers survey. We learned that ten kids liked pepperoni pizza best. Nine kids liked sausage pizza best. Seven kids liked cheese pizza best. This information is called DATA. What is data? Page

The data from the test will help us cure your disease. How Do People Use Data? The data from the test will help us cure your disease. We use data to make money. Data is needed to build things.

We Use Graphs to Organize Data. I know my parents will want to talk to my Language Arts teacher.

Graphs Make Data Easier to Understand. Below is data without a graph. Animals on the farm Chickens rule! Cows 124 Chickens 450 Turkeys 388 Horses 56 Mules 110

Data WITH A Graph. Cows 124 Chickens 450 Turkeys 388 Horses 56 Mules 110

Let’s Learn About Graphs. There are many different types of graphs. Let’s learn about two kinds. The bar graph 2. The line graph

Different Types of Graphs Can Show the Same Data. Awesome! These graphs show the same data! Bar Graph Line Graph

Check Out the Bar Graph. Y axis X axis

Check Out the Line Graph. Y axis X axis

Learn More About Bar Graphs.

Which bar on the graph represents 45 feet? A Challenge. Feet

Another Challenge Feet

Let’s Test Your Skills. Graph A Graph B 3rd grade 4th grade 5th grade At Elm Street School students have computer class once a week. The chart shows the number of minutes each class spends in the computer lab. Class 3rd grade 4th grade 5th grade 6th grade Number of minutes 25 30 35 45 Which is the most appropriate graph of the information shown in the chart? Graph A Graph B

Mean, Median, Mode, Range Mean - the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. Median - the "middle" value in the list of numbers. (rewrite your list in numerical order first) Mode - is the value that occurs most often. If no number is repeated, then there is no mode for the list. Range - is just the difference between the largest and smallest values.

Mean, Median, Mode, Range Find the mean, median, mode, and range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13

Graphing list numbers Stem and Leaf Plots Consider the following 5, 12, 8, 32, 30, 49, 48

YOUR TURN! Work with a partner or group of 3 to design a question you can survey the class. It needs to begin with: How many students in 6-2 ________? Design your question Gather your information Find the mean, median, mode and range for your data Record you date in the following ways Bar Graph Line Graph Stem and Leaf Plot

Probability The extent to which something is probable; the likelihood of something happening or being the case How do we find probability? FRACTIONS! We look at the number of outcomes that are possible divided by the total number of outcomes possible So what are the chances of getting a red marble if there are 5 red marbles out of a total of 15 marbles in the bag? 5/15 = 1/3 or 33% chance

Probability Tossing a Coin When a coin is tossed, there are 2 possible outcomes(denominator) The probability of the coin landing H is ½. 50% chance The probability of the coin landing T is ½. 50% chance   Throwing Dice  There are six possible outcomes on a single die : 1, 2, 3, 4, 5, 6. The probability of any one of them is 1/6. (17% chance