# 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 where we get a research paper on Nano chemistry....? Maira Reply what are the products of Nano chemistry? Maira Reply There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others.. learn Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level learn Google da no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts Bhagvanji Preparation and Applications of Nanomaterial for Drug Delivery Hafiz Reply revolt da Application of nanotechnology in medicine what is variations in raman spectra for nanomaterials Jyoti Reply I only see partial conversation and what's the question here! Crow Reply what about nanotechnology for water purification RAW Reply please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment. Damian yes that's correct Professor I think Professor Nasa has use it in the 60's, copper as water purification in the moon travel. Alexandre nanocopper obvius Alexandre what is the stm Brian Reply is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.? Rafiq industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong Damian How we are making nano material? LITNING Reply what is a peer LITNING Reply What is meant by 'nano scale'? LITNING Reply What is STMs full form? LITNING scanning tunneling microscope Sahil how nano science is used for hydrophobicity Santosh Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq Rafiq what is differents between GO and RGO? Mahi what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq Rafiq if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION Anam analytical skills graphene is prepared to kill any type viruses . Anam Any one who tell me about Preparation and application of Nanomaterial for drug Delivery Hafiz what is Nano technology ? Bob Reply write examples of Nano molecule? Bob The nanotechnology is as new science, to scale nanometric brayan nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale Damian Is there any normative that regulates the use of silver nanoparticles? Damian Reply what king of growth are you checking .? Renato 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 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 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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. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?