Likelihood
Is the following event likely, unlikely, impossible or certain?
A 500 page book is opened to page 125.
Possible BUT UNLIKELY
there is a 1/500 = 0.2% chance of that happening.
A standard number cube is rolled.
What is the probability of rolling a number greater or equal to 3?
Sample space: 1, 2, 3, 4, 5, 6
Favorable outcomes: 3, 4, 5, 6
Probability: 4/6 = 2/3 = 66%
There is a 75% chance of rain. How can you simulate this probability with a spinner?
Make 4 equal sections, three labeled rain, and one labeled will not rain.
A local ice cream shop is conducting a survey to determine the most popular ice cream flavor in the city. They randomly select 100 customers who visit the shop over the course of the week and ask them about their favorite ice cream flavor.
Identify the population.
All customers of the local ice cream shop
What does Mean Absolute Deviation (MAD) represent?
the average distance from the mean (or center)
Is the following event likely, unlikely, impossible or certain?
Every 7th grade homeroom teacher at VCP has a set of chrome books.
CERTAIN
Ms. Estevis, Ms. Montez, Mr. Chi, Ms. Gutierrez, Ms. Evaristo and Ms. Vlad all have a set of chrome books in their classrooms.
A standard number cube is rolled and a coin is flipped. What is the number possible outcomes?
Extra 50 points: if you name all the outcomes.
Sample 1 = 1, 2, 3, 4, 5, 6
Sample 2 = Heads, Tails
Total outcomes: 6 x 2 = 12 outcomes
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6
There is a 40% chance that the teacher is going to crash out today. How can you simulate this probability with a bag of papers?
Put ten papers in the bag and label 4 crash out and 6 no crash out. Draw papers from the bag and document the result. Repeat this about 10 times.
A pediatrician claims that 75% of patients who are late to the appointment are sick. To validate this claim, she selected a random sample of 10 patients who are late to their appointment this month but found only 20% were sick. What could she do to get a more accurate estimate?
She is more likely to get a better estimate by sampling 40 patients instead of 10.
The bigger the sample space, the more accurate the data is.
Which MAD is guaranteed to have more consistent data?
A) High mean absolute deviation
B) low mean absolute deviation
Low mean absolute deviation means that the numbers in the data are closer to each other in value for example 1, 1, 2, 3, 3, 4, 5, 6, 6,
Is the following event likely, unlikely, impossible or certain?
Everyone at school is a walker.
Possible BUT UNLIKELY
It is possible for all students to be walkers, however, that is very unlikely.
At Subway, you can make a sandwich and choose from
breads: wheat, whole grain, or Italian;
meats: turkey, ham, chicken, bacon, roast beef;
cheeses: cheddar, provolone, pepper jack;
How many different sandwiches can you make?
3 breads x 5 meats x 3 cheese = 45 different combination of sandwiches.
There is a 5/6 chance that Mr. Chi will participate in the talent show. How can we simulate this probability using a standard number cube multiple times?
We can roll a standard number cube 10 times, and count the number of times it lands on numbers 1-5. That is a 5/6 probability.
The heights for a random sample of 50 tennis players across the state of Texas were collected. We found the mean height from the sample was 64 inches tall. How should this data be interpreted?
A) the average height of a single tennis team is 64 in
B) the average height of all tennis players in Texas is 64 in
B) the average height of all tennis players in Texas is 64 in
The sample is a representation for the population. It is not always 100% certain, but it serves as a representation since it is unrealistic to get the height of all tennis players in Texas.
Which MAD is guaranteed to have data with more variability? (numbers are more different)
A) high mean absolute deviation
B) low mean absolute deviation
A) High mean absolute deviation
THE HIGHER THE DEVIATION, THE MORE SPREAD OUT THE NUMBERS ARE, SO THE NUMBERS CAN BE ALL OVER THE PLACE
1, 1, 2, 3, 3, 4, 5, 20, 53
Is the following even likely, unlikely, impossible or certain?
All students in 5th grade have cell phones.
Possible but UNLIKELY
that every single student in the 5th grades owns a cellphone.
The school is allowing you to customize your spirit shirt. You can choose from
sizes: small, medium, large.
graphic: on the front or on the back side of your shirt
colors:white or blue.
How many different combinations can you make?
3 sizes x 2 voyager front or back x 2 colors = 12 different combinations.
There is a 1/3 = 33% chance of getting snow in Flagstaff. How can this probability be simulated rolling a standard number cube multiple times?
Roll the cube a few times (like 10 times) and count how many times it lands on 1 or 6 (or any two numbers). This will simulate the probability of 2/6 = 1/3 = 33%.
A sample of 20 students in the 7th grade were asked how many hours they spend on their computers at home. The median hours spent on the computer was 1.6 hours. How should this data be interpreted?
A) the median hours of time spent on the computer for all students in the 7th grade was 1.6 hours
B) the median hours spent on the computer for 20 students was 1.6 hours
A)) the median hours of time spent on the computer for all students in the 7th grade was 1.6 hours
THE SAMPLE IS A REPRESENTATION OF THE POPULATION, INSTEAD OF ASKING ALL 200 STUDENTS, WE ASK ONLY 20 TO REPRESENT ALL 200.
Kelia and Sophia each collected a sample of 25 students at their school.
Kelia's sample was asked how many hours they spend on hw
mean: 1.2 hours, MAD: 0.6 hrs
Sophia's sample was asked how many hours they spend watching tv
mean: 2 hours, MAD: 1.3 hrs
Whose data has more variability?
Sophia's
The mean absolute deviation is bigger (1.3) than the MAD of hours on homework. This means that the sample is likely to have more numbers of hours that are far apart. For example, 0, 1, 1.5, 1.6, 2, 2.4, 2.8, 3, 10, 11, 18, 21
All students who go to Vista College Prep homerooms compete in Voyager challenge next Friday.
Likely
There are homerooms that don't get enough SEARCH points but for the most part, all homerooms earn enough and participate. Therefore it is not certain, but likely!
You roll a standard number cube.
What is the probability of rolling an odd number greater or equal to 3?
Sample space: 1, 2, 3, 4, 5, 6
Favorable outcomes: 3, 5
Probability: 2/6 = 33%
How can you get a better estimate of probability when simulating chance experiments?
Repeating the experiment more times.
Which sample is a representation of the population?
(this question is a screenshot from 13.3 pg 214)
Sample 2 is a fair representation of the population because it is spread out very similarly to the population.
Kelia and Sophia each collected a sample of 25 students at their school.
Kelia's sample was asked how many hours they spend on hw
mean: 1.2 hours, MAD: 0.6 hrs
Sophia's sample was asked how many hours they spend watching tv
mean: 2 hours, MAD: 1.3 hrs
Whose data has more consistency?