# 5.5 Averages and probability  (Page 6/9)

 Page 6 / 9

Michaela is in charge of 6 two-year olds at a daycare center. Their ages, in months, are $25$ , $24$ , $28$ , $32$ , $29$ , and $31$ . Find the median age.

Brian is teaching a swim class for $6$ three-year olds. Their ages, in months, are $38,41,45,36,40,\text{and}\phantom{\rule{0.2em}{0ex}}42.$ Find the median age.

40.5 months

Sal recorded the amount he spent for gas each week for the past $8$ weeks. The amounts were $\text{38.65},$ $\text{32.18},$ $\text{40.23},$ $\text{51.50},$ $\text{43.68},$ $\text{30.96},$ $\text{41.37},$ and $\text{44.72}.$ Find the median amount.

Identify the Mode of a Set of Numbers

In the following exercises, identify the mode.

$2,5,1,5,2,1,2,3,2,3,1$

2

$8,5,1,3,7,1,1,7,1,8,7$

$18,22,17,20,19,20,22,19,29,18,$ $23,25,22,24,23,22,18,20,22,20$

22

$42,28,32,35,24,32,48,32,32,24,$ $35,28,30,35,45,32,28,32,42,42,30$

The number of children per house on one block: $1,4,2,3,3,2,6,2,4,2,0,3,0.$

2 children

The number of movies watched each month last year: $2,0,3,0,0,8,6,5,0,1,2,3.$

The number of units being taken by students in one class: $12,5,11,10,10,$ $11,5,11,11,11,10,12.$

11 units

The number of hours of sleep per night for the past two weeks: $8$ , $5$ , $7$ , $8$ , $8$ ,  $6$ , $6$ , $6$ , $6$ , $9$ , $7$ , $8$ , $8$ , $8$ .

Use the Basic Definition of Probability

In the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.)

Josue is in a book club with $20$ members. One member is chosen at random each month to select the next month’s book. Find the probability that Josue will be chosen next month.

$\frac{1}{20},0.05$

Jessica is one of eight kindergarten teachers at Mandela Elementary School. One of the kindergarten teachers will be selected at random to attend a summer workshop. Find the probability that Jessica will be selected.

There are $24$ people who work in Dane’s department. Next week, one person will be selected at random to bring in doughnuts. Find the probability that Dane will be selected. Round your answer to the nearest thousandth.

$\frac{1}{24},0.041\stackrel{–}{6}\approx 0.042$

Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.

Michel has four rock CDs and six country CDs in his car. He will pick one CD to play on his way to work. Find the probability Michel will pick a rock CD.

$\frac{4}{10},0.4$

Noah is planning his summer camping trip. He can’t decide among six campgrounds at the beach and twelve campgrounds in the mountains, so he will choose one campground at random. Find the probability that Noah will choose a campground at the beach.

Donovan is considering transferring to a $\text{4-year college}.$ He is considering $10$ out-of state colleges and $4$ colleges in his state. He will choose one college at random to visit during spring break. Find the probability that Donovan will choose an out-of-state college.

$\frac{10}{14},0.\stackrel{\text{———}}{714285}\approx 0.714$

There are $258,890,850$ number combinations possible in the Mega Millions lottery. One winning jackpot ticket will be chosen at random. Brent chooses his favorite number combination and buys one ticket. Find the probability Brent will win the jackpot. Round the decimal to the first digit that is not zero, then write the name of the decimal.

## Everyday math

Joaquin gets paid every Friday. His paychecks for the past $8$ Fridays were $\text{315},$ $\text{236.25},$ $\text{236.25},$ $\text{236.25}\phantom{\rule{0.2em}{0ex}}\text{315},$ $\text{315},$ $\text{236.25},$ $\text{393.75}.$ Find the mean, median, and mode.

1. $285.47 2.$275.63
3. $236.25 The cash register receipts each day last week at a coffee shop were $\text{1,845},$ $\text{1,520},$ $\text{1,438},$ $\text{1,682},$ $\text{1,850},$ $\text{2,721},$ $\text{2,539}.$ Find the mean, median, and mode. ## Writing exercises Explain in your own words the difference between the mean, median, and mode of a set of numbers. Answers will vary. Make an example of probability that relates to your life. Write your answer as a fraction and explain what the numerator and denominator represent. ## Self check After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. After looking at the checklist, do you think you are well prepared for the next section? Why or why not? #### Questions & Answers What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ? Stoney Reply why we need to study biomolecules, molecular biology in nanotechnology? Adin Reply ? Kyle yes I'm doing my masters in nanotechnology, we are being studying all these domains as well.. Adin why? Adin what school? Kyle biomolecules are e building blocks of every organics and inorganic materials. Joe anyone know any internet site where one can find nanotechnology papers? Damian Reply research.net kanaga sciencedirect big data base Ernesto Introduction about quantum dots in nanotechnology Praveena Reply what does nano mean? Anassong Reply nano basically means 10^(-9). nanometer is a unit to measure length. Bharti do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment? Damian Reply absolutely yes Daniel how to know photocatalytic properties of tio2 nanoparticles...what to do now Akash Reply it is a goid question and i want to know the answer as well Maciej characteristics of micro business Abigail for teaching engĺish at school how nano technology help us Anassong Do somebody tell me a best nano engineering book for beginners? s. Reply there is no specific books for beginners but there is book called principle of nanotechnology NANO what is fullerene does it is used to make bukky balls Devang Reply are you nano engineer ? s. fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball. Tarell what is the actual application of fullerenes nowadays? Damian That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes. Tarell what is the Synthesis, properties,and applications of carbon nano chemistry Abhijith Reply Mostly, they use nano carbon for electronics and for materials to be strengthened. Virgil is Bucky paper clear? CYNTHIA carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc NANO so some one know about replacing silicon atom with phosphorous in semiconductors device? s. Reply Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure. Harper Do you know which machine is used to that process? s. how to fabricate graphene ink ? SUYASH Reply for screen printed electrodes ? SUYASH What is lattice structure? s. Reply of graphene you mean? Ebrahim or in general Ebrahim in general s. Graphene has a hexagonal structure tahir On having this app for quite a bit time, Haven't realised there's a chat room in it. Cied what is biological synthesis of nanoparticles Sanket Reply what's the easiest and fastest way to the synthesize AgNP? Damian Reply China Cied how did you get the value of 2000N.What calculations are needed to arrive at it Smarajit Reply Privacy Information Security Software Version 1.1a Good Berger describes sociologists as concerned with Mueller Reply A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place. Kimberly Reply Jeannette has$5 and \$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
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how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
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. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?