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Math Bootcamp 11/16/20 Probability and Statistics Review

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already guys welcome back to another math boot camp today we're going over and doing a review of statistics and probability we have quite a few questions to get through today but with your help we'll get through all of them I'll give you guys just brief reminders in case there's content on there that you missed from a previous class will just go over brief reminder so question for one says the mean number of aircraft orders for the six years shown on the graph is 573 planes in which year was the number of orders closest to the moon does it mean just means the average so the average number of orders was 570 so they want to know in what year was the orders closest to the average so looking at this chart what year is close to 573 orders 2007 2010 and 2010 is like right above 600 but there is another one that looks a little bit closer mm perfect. 2007 looks it looks like it could be around 280 or 290 but definitely the closest 573 question 2 says by about what percent did the order at National aircraft decrease from 2008 to 2009 so so let's see what we have buy a 30% 2008 how much do they have 651-8625 56 okay so it's called at 6:15 and then what do they have and 2009 12 + 2.390 390 right so we're going to go ahead and talk we're going to go ahead and subtract to find the difference so we have 650 -390 want to go to my calculator from 260 yeah we got 260 right so that number is going to be divided by our original number I starting number which was 6:50 right we're going to go 260 divided by 650 and we should get show as a percentage I just move over my decimal 2 places and it's 40% 40% so it's a 40%. now let's take a look at o question number 3 Saudi convention Jim and his three friends each quad three tickets at the time the drawing 400 tickets have been sold what is the probability that either Jim or one of his friends will win is 400 tickets right and Jim and his friends so it's a total of 4 people right Jim and his three friends with Jim phone number one phone number 2 and phone number 360 total of 4 people the E spot 3 tickets so 3 6 9 12 12 tickets right out of 400 so what can I simplify 12 / 400 bus what number goes into 12 and 400 what's the largest number pics of Skye that 400 / 6 no not 6 maybe a smaller numbers in 6 24 so let's for sotol / 4 is what 3 and 400 divided by 4 is what 14 search the other three out of or 3% chance right not very likely let's take a look at discretion to hear it says based on the data in the table what was the median low temperature for March March 9th so the median media I'm sure we did as we put it from the lowest temperature to the highest temperature and we start Crossing off numbers so let's do that now so what's the lowest temperature there 48re and then 49 and I have 50 twice 955 so what I do is a prosthodontist from both sides and then with these what I would do is I would Adam up together and divide by 2 so 15 added up together would be 100 / 250 normally you try to eliminate and you would have a number in the middle but if you don't have a number in the middle if you have two numbers you add them together in / 2 Thunder answer that's median and you always have to work really have to line it up from smallest to largest so question number 5 says what was the amount of precipitation in inches on March 9th for the areas listed in the table so mean means average so that means we need to add all these numbers up weather first what's the first thing we do so let me pull up my calculator we have point 45 + 4.63 + 1.34 what is 3.53 + 2.57 + 84 and we should get 9.36 there when I look at that so now we divide 9.36 divided by number of values that we had we had 1 2 3 4 5 6 4 / 6 did you guys get an answer 1.56 1.56 so now question 6 says for which area on the table was there the greatest change or difference between the high and low temperatures so we're looking for the greatest difference so I guess we can just find the difference of each and Reddit down Sofia the first one it's 62 - 53 9 degrees cycling is 62 - 50 12 degrees 68 - 1518 56 - 48 + 62 - 49 13 and 64 - 55 914 the greatest difference Woodland Hills Woodland Hills grade for 18 it's almost resembles some this is like Los Angeles area Woodland Hills is over in the valley so Woodland Hills or one done not check out part 2 so it says Platinum cinemas open its first theater in 2001 the company's ticket sales increased steadily until what year when there was a drop in sales so up until what year was there a drop in sales so let's follow the trial I mean not the highlighter so from 2001 to 2002 goes out right from O2 to O3 goes up 4 goes up and then what happens here at what year did the drop there was drop in sales in 2005 which year had the sharpest increase in ticket sales over the previous year I'll let you guys take a look at that for a little bit and then let me know dogs honey 2008 have the sharpest increase right now in 10 number says at Nelson stationers the first 25 customers who visited the store on Monday morning received their choice of a gift the table below shows how many customers chose each gift 4% of customers chose a mousepad so freaking to figure out the total number of customers right so you have five 510 12 5678 so we have a total of 25 customers and how many chose the mousepad so I divide 8 by 25 and what do I get as a percentage 3.125 8 / 25 32 yeah I know it is a medicine or two places to the right to convert backwards Newcomb now it's check out number 10 I thought I was going to sneeze has a standard deck of playing cards has 52 cards with 13 cards each of her Skyrim puzzle stage if a card is drawn randomly from a deck what is the probability that it will be either hearts or diamond okay so it shouldn't you cards until 2 right so how many hearts are there 1313 and how many diamonds are there ocelot 1307 total how many hearts and diamonds are there 2026 so what's the problem do either pick out a harder Diamond it's a 26 out of 52 probability let's see if we can divide this so what number can I because I need to reduce this riding a simplified so what number can I divide into both 26 and 52 to send we got 13 over 26 now what number can divide both into 13 and 26 can you do sister the number that goes into 13 and 26 13 itself 1/2 right Samantha is a 1 and 2 as a one in two chance 250 question 11 needlework the following overtime hours over six weeks. What is the mean number of overtime hours need to work each week okay so in order to find the mean we need to go ahead and add up all these numbers together and divided by 6 so we go 5 + 3.5 + 4 what is 0 + 1.5 + 7 + what do we get 2121 right now what are you guys are answer 345 okay a spinner has five equal sections and they are numbered one through five what is the probability of getting a number greater than 5 express your answer as a fraction so how many sections are there by 5 so that's my total right and number is greater than 3 so what numbers are greater than 3 number 4 and number 5 you have two numbers are greater than 5 so what is my answer what letter okay HUD section 2 how to remove on Section 3 so says any recent election five candidates ran for the City Council seat from District 11 the results of the race are shown in the graph below the city council candidates who received the fewest votes received what percentage of the total votes 30323 Council candidates receive the fewest votes received what percentage so who received the fewest it was Ray's Scott Cinemas together I just add these all up right 9 + 14 + 18 equals what do you want 41% right which two candidates combined received about three fifths of the cast of the votes casted two candidates switch to Kennard so 3/5 is about 60% right total up to around 60% The Leftovers Barbara and John Barbara and John so they're at Lee and brown is the name Bowen hears about IS350 to 60% give or take the rapper 1% 15 says if 5100 votes were cast in the election which of the following Expressions can be used to find out how many votes Kris Riner received so what percentage did Grace Ryan receive Russia is last place so what do you guys think which one of these Expressions could be used to calculate how many votes you receive a b c d r e remember to look closely so she received 9% Lil Bebe so let's so let's look 9% as a decimal decimal point is here I move it or two spaces you'll be .09 right is 90% look at a yes on G think you might think it's a but that's 90% And she only got 9% so it says in court fixing it says in which month did company a and Company B receive about the same number of online orders March March right there cuz that's where that's where they intersect right based on the trends shown by the data what would best be what would the best prediction for the number of online orders in July 4th company in so let's look at the data severe 1000 in January about a thousand nine hundred in February March there around 2,500 April there around 3,000 4000-5000 would be the next what do you guys think will be the next probably Polly 5900 900 right at the closest to 6000 right that's probably right around where they're going to be projecting the sales and 18 of 1/8 about 18% of the online orders in April at company AR return for credit or exchange how many orders at company a working for credit Exchange in the month of April so let's see in April how many cell did they do mm Google take me to 3008 and setting it up like this right around finding percentage I would just two times point 18 what are calculators and check that out what's my answer 501 Steve 5:40 all right go on the section 3 what you doing pretty good on time that's why we're going to these pretty quickly basketball players statistics for an 8 game series are shown in the table below in 128 what is the median number of shots attempted by the player in the series okay so for median remember we line up all our numbers from smallest to largest and we cross out on either side until we get to the middle so I need to find what's the smallest 18 write 18 and then what's next movie 3 okay 24 okay 24 twice 26 + 429 I want to go ahead and cross it out okay so what do I do here I have two numbers in the middle what do I do football and then I get 49 and then what do I do what are / Define 24.5 perfect 24.5 anytime we get down to the middle and if you have two numbers added together and divided by 2 and that's going to be our meeting solve this question 20 says what is the mode of shots made by this player during the series so mode means mode means most which number shows up the most so now we're looking up under shots made right which number shows up the most so we have 10 1/2 3 * right that number shows up the most 10 most shows up the most anyone says a bag contains 24 Malibu marbles 8 are red so AR red 6 Sandra White a marble is drawn from the bag and replaced the second marble is chosen at random from the bag what is the probability that the first marble is red and the second one is white so on the first Kik how many marbles do we have in the back in total and what's the probability that the first marble is red because there's eight marbles a trademark read read read the bag and replaced okay so if they replace it that means that on the second draw they're going to have the same number of Marvel's right so they replaced it know what's the probability that the second one is white how many white are there the probability that both happen we multiply so top we have 80 right down we have 24 x 24 576 so what can we divide what can you do 580 + 576 + 5 we can we can actually do we can divide by 8 divided by 8 and we get 80 / 72 Ozark tent I'm jumping the gun 10 / 72 and what can we divide with into 10 and 72 2 can I buy 2 magazine 5 / 36 and where they're right that's it 5 / 36 so what letter is my answer preschool complain to says a company has 36 employees for the three months the owner has kept track of the number of sick days used by her employees per month so in September 30th for October 31 and November 42 which expression can be used to find the average number of sick days taken each month so do you guys how to find the average We Are Who We Are and then by what number do I divide by 3oh 3 so which letter represents me outing of all the Days Inn in / 3 b b Andy rolls two standard six-sided dice what is the probability of rolling two ones express your answer as a fraction so how many sides are there on the dice and how many times have the number one appear on the dice so in order to find out both of them I need a x so 1 * 1 is just one and six times six is thirty-six there's a 1 in 6 chance of rolling both one alright so 24 says she wants to include one historical novel one work of Science Fiction one book of poetry in one graphic novel she has five of each type of books to choose from how many possible combinations of the books could put in her reading that's what I'm going to do since we didn't go over this didn't go over combination so I'll go ahead and do this one we have historical Syfy poetry graphic novel and she has five of each five each passing dorry's 5555 so we do here is we multiply is she has five different options for each one so the total number of possible combinations can be found by multiplying 5 * 5 * 5 let's go to my calculator single 5 * 5 * 5 * 5 we should get itsfunneh all right now if you want a section V I'm going to skip 25 because we didn't go over permutations so we'll we'll just get down for me for that one you actually need for a combinations and permutations are actually pretty simple but you do need a calculator that 10 / 4 so I don't have one of those calculators on me I won't be able to do those tonight unfortunately Cafe do we need to do this kind of math out of the classroom I don't know if you remember what they look like they're little but I don't have one of those on me right now let's take a look at 26 who says the frequency table below displays the reasons why patients walk visited a walk-in clinic during a certain week change a patient's represented in the table is it at the walk-in clinic because of sprained muscles okay so first I need to find out the total number of people in the clinic so we have 5 10 15 16 510 11 12 13 size 10 11 12 567 5 10 11 12 Aziz all up together 16 + 13 + 12 + 7 + 12 Greater Love what percent of patients walk in because of sprained muscle so how many walking for sprained muscle so now I 12 / 60 yes I divided I get points to and then converted to a percentage by moving the decimal place over two units to the right in the represented in the table what was the ratio of number of patients with cold or flu to the number of patients with severe headaches okay so how many were in Cold and Flu 16 and how many were severe headaches 12 right April 16th 12 what kind of divided boots you set it up like a fraction so it's easier to working both into 16 and 12 simplified to know what's the largest number that can go both into this about 16 / 4 x 4 12 / 4 is 3 written as a ratio 423 okay so a hundred people are participating in a medical study as a first step the researchers collected information about the participants weight the graph below represents how many people fell into each weight category which category displays the most has the highest frequency so then which which weight category do you guys seem represented the most 18021 am tops the charts right here right New York City FC consider consider only the 100 individuals represented in the graph which one of the following groups contains the most people that's almost redundant oh good okay look see the wood so which group contains the most number of people participants weighing 200 or more what's up number of people oh yeah number for you can just look at the bar to see let's see which one has the most number of people participants weighing 200 or more are most people over 200 pounds or no participants Wayne less than 200 lb mother spends weighing a hundred 8299 participants when less than 180 participants wind Mustang 180 or more than 20 seconds I want to see see well this one's only one column right it's only contains these ones look at be weighing less than 200 lb so less than 200 pounds contains. Call him this one this one and this one so be contains the most right because it's under 200 so 200 is all of these it's this one it's this one of these are all under two oh okay I'm just still wrong. So long ago so all these people are here under 200 lb if it's more than the groups of people that are over 200 pounds I need to read the question good cuz I didn't I understand it wrong and then question 30 says there are four children in Miss Martin's class three of them will be selected to be homeowners how many combinations that's in Irwindale music Ministry does the final section final section tonight so let's check these questions out so question 31 says the owner of a taxi cab measures the gas mileage of each of the cars in her flee the frequency table below shows the results which of the values average miles per gallon displays the highest frequency so which one what is 27 * 2 * 7 find one has the largest number what is the ratio of taxes that get 35 MI per gallon on average the number of taxis basket 15 miles on average what's the ratio Jodie Foster so the ones that going to be 35 is 1 right what's a good 15 mile or two so what's the ratio so when out of on Paseo okay 33 says choose the plots that represent the information on the TV so how many dots do you need for 15 miles per hour too so we need to write so we can eliminate B&D right off the bat right he has one and he has more than that how many dots do we need for 20 I think one two three four 567 how many dots do I need for 25 5 2345 final question tonight Achmed works at the ticket window of a theater and one night he decides to track when the patrons arrived at free 7:30 p.m. show the table shows data which one of the histograms accurately represents ochmann Stadium so the first time what is 2% so which one is closest ABC or D or Eve 2% sounds pretty flooded easy because the rest doesn't even matter yep celebrity

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