<p>Entry #2- April 2nd, 2014 - Data Analysis, Statistics, and Probability - {4:44 p.m. - 6:12 p.m.}
Cumulative Study Hrs = 2.46</p>
<p>Notes: </p>
<p>Math</p>
<ul>
<li>The SAT doesn’t include computation of standard deviation. (whatever that means)</li>
<li>The beginning of the lesson basically taught me how to read various graphs (common knowledge) but it’s a nice reviewer I guess. It is important to note that on my Report for my SAT this specific section in math I scored the most wrong. (I’m terrible at probability)</li>
<li>Become familiar with bar graphs, scatter plots, line graphs, pictographs and pie charts.
+The arithmetic mean = sum of values divided by # of values listed</li>
<li>Median = middle value when grouped from least to greatest</li>
<li>Mode = Most frequently occurring value</li>
<li>Weighted Average Example (Semi-new concept)</li>
</ul>
<p>Fifteen members of a class had an average SAT score of 500. The remaining 10 members of the class had an average of 550. What is the average score of the entire class. DONT ADD 500 and 550 and divide by two.
take:
(500 x 15) + ( 550 x 10)
------------------------------------ = 520
25 </p>
<ul>
<li>Thanks to the book I found a hole in my Algebra foundation. I for some reason couldn’t figure out this:</li>
</ul>
<p>The average of a list of 10 numbers is 15. If one of the numbers is removed, the average of the remaining numbers is 14. What is the number that was removed?</p>
<p>The problem was that I didn’t know how to find the missing number when given the mean. The correct steps were</p>
<ol>
<li><p>First find the sum of the first list. You do that by taking 10 (the # of values in a set) and multiply it by 15 ( the average) and that gives you the sum BEFORE the number was taken out (150)</p></li>
<li><p>Then you subtract 150 with the sum of the second set that has the # stripped from it. 9 x 14 = 126. </p></li>
<li><p>150 - 126 = missing number (24) </p></li>
</ol>
<p>**I’m currently doing some practice problems I found on an online worksheet to reinforce the idea to myself.</p>
<p>I used this video <a href=“6.SP.5.c - Missing Number and the Mean - YouTube”>6.SP.5.c - Missing Number and the Mean - YouTube; to help me also btw.</p>
<p>Used this site to practice (tutor.com) *if you’re military it’s free!</p>
<p>Probability w/ Independent and Dependent Events:</p>
<p>Independent Variables</p>
<ul>
<li><p>an independent event is an event that’s outcome isn’t affected by another event happening.</p></li>
<li><p>If you have two independent events and you want to find the probability of something regarding both those events happening you simply multiply their probabilities together.</p></li>
</ul>
<p>ex. Whats the probability of flipping a coin and it landing tails and rolling a die and it landing on six at the same time?</p>
<p>1/2 * 1/6 = 1/12 </p>
<p>The probability of both those happening are 1/12. </p>
<p>Two independent events! Landing on Heads and which face the die lands on have absolutely nothing to do with each other 1/2 * 1/6 = 1/12</p>
<p>Two Dependent variables (Harder)</p>
<p>ex. On Monday, Goldsboro HS basketball team will play the team from White high school. On Wednesday, White high school will play the team from Pamelco High School. On Friday Pamelco will play Goldsboro. In each game each team has a 50% chance of winning.</p>
<p>What is the probability that Goldsboro will win both games and White will lose both it’s games?</p>
<ul>
<li>To attack this problem you simply have to set up the probability of EVERYTHING going as the question asks. The only situation in which Goldsboro will win both its games and White will lose both its games is set up below.</li>
</ul>
<p><em>Letters = First initial of High School</em></p>
<p>A vs B = A wins ( 1/2) )))))</p>
<p>A vs C = A wins (1/2) )))))))--------------> 1/2 x 1/2 x 1/2 = 1/8 (Answer)</p>
<h2>B vs C = C wins (1/2) )))))</h2>
<p>Reflection :</p>
<p>No wonder I scored so low on the Math section. I’m only a few pages into ONE section (Probability) and I’m already seeing questions I would have skipped on test day. (Specifically the Dependent probability one) However, I’m so glad that I at least have a foot in the door when it comes to filling up the gaping holes in my algebra foundation. It took me a minute to get the last two things I went over with the help of a Math tutor (Online) and the blue book itself. Maybe I casted an unfair judgement on the blue book; a judgement that was entirely premature. I didn’t even crack open the yellow book today. Anyway, I hope you guys arent confused with the way I rewrote things. I knpw copying straight out the book would be Copyright so I do my best to share the things I learn. Plus, rewriting my notes on here help them stay in my head. I’m going to keep doing some practice problems until I’m comfortable. though. Stay Study my friends. </p>