Statistics & Probability Brought to you by the man-bunned Mr. Bexson & his inexplicable love of numbers and graphs!

Graphs – What even are they?

Graphs – What even are they? 16 m Distance in meters (m) 10 s Time in seconds (s)

Graphs – What even are they?

Graphs – What even are they? Conclusion??? - Graphs tell a story - They tell us what is happening in real life in a cute little square. - There are few different kinds of graphs…

Graphs – What even are they? Line Graphs Pie Charts Bar Graphs

Graphs – What even are they? Guided Practice – Turn the following story into a line graph using graphing paper and a ruler (or straight edge)!… James started walking from his house to his school one morning. He stopped at the crosswalk 3 meters from his door and 5 seconds into his trip because there was a lot of traffic. 4 seconds later he began to cross the road. 6 meters and 9 seconds after that, he realized he dropped his phone and had to walk back 3 meters to get it. It took him 2 seconds to go back, 1 second to grab the phone, and 2 seconds to return to where he was. REMEMBER TO ALWAYS LABEL AND TITLE YOUR GRAPHS!!! OTHERWISE WE HAVE NO IDEA WHAT YOU’RE TALKING ABOUT!!

Graphs – What even are they? Practice – Turn the following story into a line graph using graphing paper and a ruler!… Acacia was on a hike one day. For every 2 meters she walked forward she went up 1 meter. After walking forward for 6 meters she had to hike down into a valley that was 1 meter deep for 3 meters. She then continued moving 1 meter up for every 2 meters forward.

Graphs – What even are they? Practice – Try these ones on your own! Remember to label and title!! 1. Justin walked 8 meters forward for 5 seconds, 6 meters backwards for 3 seconds, 4 meters forward for 3 seconds, 2 meters backwards for 3 seconds and stood still for 6 more seconds. 2. Ella walked up and down a hill that was 10 meters high and 10 meters wide. The hill was highest at the 5 meter mark. 3. Robbie ran as fast as he could for about 100 meters in 16 seconds, but then got tired and started running slower for the next 9 seconds.

Graphs – What even are they? Graphs can also help us solve problems 1.When was Arkansas’ Football Team clearly at its best? 2. When was it at its worst? 3. Which 3 years is it most likely that Arkansas traded away its best players?

Graphs – What even are they? Graphs can also help us solve problems 1. When did the store most likely close? 2. When is the store busiest? 3. What type of store might this be?

Graphs – What even are they? How do we get data to make graphs? We collect it using the following methods: Questionnaires Science Experiments - In a lab report, graphs would appear in the results/analysis part of the report. Databases Electronic Media

Graph the following Kiera runs slowly at the start of a race but picks up her speed as she runs. She stops running at 50 km, 4 hours into the race. Jana makes sure to stay still someone calls “red rover” after 10 seconds of waiting. Then, she runs for 7 meters before she stops 10 seconds later. She waits again for 10 seconds and then runs again 7 meters. She stops again 10 seconds later. Over the years 2000-2018, the price of gum went from 4,00$ in 2000 to 4,50$ in 2004, to 6,00$ in 2006 to 3,50$ in 2007, to 3,80$ in 2010, to 4,30$ in 2014 to 5,50$ in 2018.

Design A graph with a story Behind it. Make sure the information is all there. Labels, titles, lines using a ruler etc. Make sure your graph and story are on separate pages. Partner up with somebody. Exchange stories, but not graphs. See if you can recreate each others’ graphs from their stories perfectly. When done, take your story, your graph and the graph your partner tried to recreate and staple them. Put them in the hand in bin.

Probability????? Probability: The likelihood of something happening. What are the possible outcomes if I flip a coin? ________________________________ What is the likelihood/probability of landing tails? Heads? _________________________________ What are the possible outcomes if I roll a die? What is the likelihood/probability of landing a 1? An even number?

Experimental Vs. Theoretical Experimental probability: How many times an outcome actually occurs in an experiment. Ex. If a flip a coin 4 times and all 4 times I flip heads, the experimental probability of flipping heads was 4 for 4 or 100%. Theoretical probability: How many times an outcome is supposed to occur in theory. Ex. There are two outcomes when flipping a coin – heads or tails.

Examples Maiya rolls a dice 6 times. Below is a tally of what she rolls… What was the experimental probability of rolling a 3? ________________ What is the theoretical probability? ________________ Does this match up? ____________ What was the experimental probability of rolling a 5? ________________ What is the theoretical probability? ___________________ Does this match up? ______________ 1 2 3 4 5 6 I III

Examples Gemma flips a coin 20 times. Below is a tally of what she flips… What was the experimental probability of flipping tails? ________________ What is the theoretical probability? ________________ Does this match up? ____________ Heads Tails IIII IIII

Examples Let’s look at the class… What are the possible outcomes for biological gender? (barring non-binary gender identities) ____________________________________ How many of each are there?_______________________________________________ What is the experimental probability for girls? What is the theoretical probability for girls? Does this match up?

Probability Performance Task Time!!!