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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.
$8,5,1,3,7,1,1,7,1,8,7$
$18,22,17,20,19,20,22,19,29,18,$ $23,25,22,24,23,22,18,20,22,20$
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.
$\frac{1}{24},0.041\stackrel{\u2013}{6}\approx 0.042$
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.
$\frac{10}{14},0.\stackrel{\text{\u2014\u2014\u2014}}{714285}\approx 0.714$
There are $\mathrm{258,890,850}$ 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.
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.
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.
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.
ⓐ 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?
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