For the Confidence Intervals assignment you need to find an article online and answer two questions about it.
Complete the question by filling out this form:
https://docs.google.com/spreadsheet/viewform?hl=en_US&formkey=dDdkVkVvTXRCSlJfTnAzMDhUbGlhdUE6MQ#gid=0
This must be complete by Friday, December 2.
Thanks.
Monday 28 November 2011
Sunday 27 November 2011
Project
Here is the Project Assignment if you have misplaced it: http://dl.dropbox.com/u/39411274/Math%20Foundations%2020%20Project.docx
I have decided that giving you the Holiday Break to finish your projects may be better than having them due before the break. Presentations will be on Wednesday, January 4 and Thursday, January 5. If you would prefer to present before the break, speak to me and we will arrange that.
The presentations will be as follows:
Wednesday, January 4
Michelle
Aaron
Alex
Kelsey
Jeff
Nina
Brydon
Emily
Colby
Joel
Thursday, January 5
Sarah
Amy
Koralyn
Allysa
Tanner
Cody
Taryn
Miranda
You should email your presentation and other files to be displayed on the SmartBoard ahead of time. Email my mrbanow at gmail.com account. If you have any materials that are not digital, please bring them the day of your presentation and hand them in to me.
If you have questions now or over the break, email me and I will get back to you fairly quickly.
Good luck and have some fun! I hope your topic interests you!
I have decided that giving you the Holiday Break to finish your projects may be better than having them due before the break. Presentations will be on Wednesday, January 4 and Thursday, January 5. If you would prefer to present before the break, speak to me and we will arrange that.
The presentations will be as follows:
Wednesday, January 4
Michelle
Aaron
Alex
Kelsey
Jeff
Nina
Brydon
Emily
Colby
Joel
Thursday, January 5
Sarah
Amy
Koralyn
Allysa
Tanner
Cody
Taryn
Miranda
You should email your presentation and other files to be displayed on the SmartBoard ahead of time. Email my mrbanow at gmail.com account. If you have any materials that are not digital, please bring them the day of your presentation and hand them in to me.
If you have questions now or over the break, email me and I will get back to you fairly quickly.
Good luck and have some fun! I hope your topic interests you!
Friday 18 November 2011
Statistical Analysis Exam
On Monday, November 21 there is an Open Book exam on sections 5.1-5.4.
The key concepts are:
- mean
- standard deviation
- frequency distribution tables
- histograms
- frequency polygons
- Normal distribution
Standard Deviation Calculator
Here are a couple of online tools to calculate standard deviation (among other things)!
http://www.numberempire.com/statisticscalculator.php On this one, check off Mean and Standard Deviation
http://www.miniwebtool.com/standard-deviation-calculator/ Works like a charm!
Good luck with your assignment!
http://www.numberempire.com/statisticscalculator.php On this one, check off Mean and Standard Deviation
http://www.miniwebtool.com/standard-deviation-calculator/ Works like a charm!
Good luck with your assignment!
Thursday 17 November 2011
5.4 NORMAL DISTRBUTION CURVE
To day we did 5.4 the normal distribution we looked at 4 different kinds of histograms
The first one is called a single point histogram or NORMAL DISTRBUTION CURVE the pink one is skewed
The blue one is a bi- modal and the orange one is uniform
Than we did a thing that involved rolling a dice 50 times and recording the sum of the numbers
Than we combined the whole class’ results and made the histogram
It was like the purple one with the top ones being 7 and 8
Than we looked at this graph
The blue one is a bi- modal and the orange one is uniform
Than we did a thing that involved rolling a dice 50 times and recording the sum of the numbers
Than we combined the whole class’ results and made the histogram
It was like the purple one with the top ones being 7 and 8
Than we looked at this graph
And this gave the standard deviation purpose. Telling us a lot about one set of data
Next is joel
Next is joel
Monday 14 November 2011
Standard Deviation
We started section 5.3 today. We got a hand out and did the following question together:
"The coach of a girls' basketball team keeps stats on all of the players. Near the end of one game, the score is tied and the starting point guard gets fouled out. He needs to make a substitution. There are five girls on the bench who can sub in for the point guard."
The stats for the players were stated next.
Then we were asked which player was most consistent. We found that Paige was most consistent because her percentages were all between 33-35. They were not scattered, therefore they were consistent.
After that it said that the coach found that Paige and Patrice's values were close in value. He compared them more closely using standard deviation (a measure of the dispersion or scatter of data values in relation to the mean.)
We followed these steps to calculate the standard deviation for Paige:
-Determine the mean of Paige's shooting percentage.
(add all of Paige's percentages then divide by the amount of percentages there is. In this case there is ten.) We found that Paige's mean was 33.9.
-Calculate the deviation of each field goal percentage.
(Take one percentage and subtract it from the mean. Continue doing this with all the percentages.)
EX. 34-33.9=.1
-Calculate the squares of the deviations.
EX. The square root of .1 is .01. (Square root all deviations.)
-Fill in the values into the chart on the second page of the handout.
-Determine the standard deviation by:
-determining the mean of the squares of deviations.
(add all the squares of deviations and divide by 10)
Our answer was .69
-determining the square root of the mean from the step above^:
The square root of .69 is .8307.
Then we did the steps above for Patrice.
Next, we were asked who was more consistent between the two players. Our answer was Paige because .8307 is a smaller standard deviation than 1.4976(Patrice's standard deviation) and a smaller number means that here is more consistency.
We then calculated the mean and standard deviation using a graphing calculator. To do this, you must follow these steps:
-Stat
-Edit
-Enter the numbers
-Stat
-Calc
-1-var stats
-Enter.
(I probably forgot a step.)
We didn't finish the whole sheet but we will be finishing the rest in class tomorrow.
Next up is Colby.
"The coach of a girls' basketball team keeps stats on all of the players. Near the end of one game, the score is tied and the starting point guard gets fouled out. He needs to make a substitution. There are five girls on the bench who can sub in for the point guard."
The stats for the players were stated next.
Then we were asked which player was most consistent. We found that Paige was most consistent because her percentages were all between 33-35. They were not scattered, therefore they were consistent.
After that it said that the coach found that Paige and Patrice's values were close in value. He compared them more closely using standard deviation (a measure of the dispersion or scatter of data values in relation to the mean.)
We followed these steps to calculate the standard deviation for Paige:
-Determine the mean of Paige's shooting percentage.
(add all of Paige's percentages then divide by the amount of percentages there is. In this case there is ten.) We found that Paige's mean was 33.9.
-Calculate the deviation of each field goal percentage.
(Take one percentage and subtract it from the mean. Continue doing this with all the percentages.)
EX. 34-33.9=.1
-Calculate the squares of the deviations.
EX. The square root of .1 is .01. (Square root all deviations.)
-Fill in the values into the chart on the second page of the handout.
-Determine the standard deviation by:
-determining the mean of the squares of deviations.
(add all the squares of deviations and divide by 10)
Our answer was .69
-determining the square root of the mean from the step above^:
The square root of .69 is .8307.
Then we did the steps above for Patrice.
Next, we were asked who was more consistent between the two players. Our answer was Paige because .8307 is a smaller standard deviation than 1.4976(Patrice's standard deviation) and a smaller number means that here is more consistency.
We then calculated the mean and standard deviation using a graphing calculator. To do this, you must follow these steps:
-Stat
-Edit
-Enter the numbers
-Stat
-Calc
-1-var stats
-Enter.
(I probably forgot a step.)
We didn't finish the whole sheet but we will be finishing the rest in class tomorrow.
Next up is Colby.
Monday 7 November 2011
5.1 Exploring Data
On Friday we started a new unit called Statistical Reasoning. This is about collecting data from a set of numbers or statistics. We learned new terms like: outliers, range, mean, median, and mode and how to draw a line plot. Alex did a pretty good job of summarizing those in the last post which makes it unnecessary for me.
Today we were supposed to hand in our diagnostic tests which the majority of people didn't do, so remember to hand those in asap. We then worked on a sheet given to us on section 5.1 Exploring Data, and we had to find the mean, median, mode and range for the life of a car battery. We discussed the results and found that based on our data neither brand x nor brand y were a better choice, but it depended on whether or not the consumer was willing to take a risk on purchasing a battery that could either last longer or shorter than the average time. We learned one new term which was dispersion.
Dispersion is a measure that varies by the spread among the data in a set; dispersion has a value of zero if all the data in a set is identical, and it increases in value as the data becomes more spread out.
After that we were assigned Pg. 212 #2 and 3.
The next person to write the blog will be Brydon. :)
Today we were supposed to hand in our diagnostic tests which the majority of people didn't do, so remember to hand those in asap. We then worked on a sheet given to us on section 5.1 Exploring Data, and we had to find the mean, median, mode and range for the life of a car battery. We discussed the results and found that based on our data neither brand x nor brand y were a better choice, but it depended on whether or not the consumer was willing to take a risk on purchasing a battery that could either last longer or shorter than the average time. We learned one new term which was dispersion.
Dispersion is a measure that varies by the spread among the data in a set; dispersion has a value of zero if all the data in a set is identical, and it increases in value as the data becomes more spread out.
After that we were assigned Pg. 212 #2 and 3.
The next person to write the blog will be Brydon. :)
Sunday 6 November 2011
Chapter 5: Statistical Reasoning
On Friday we began our next chapter: Statistical Reasoning. This chapter is to help us understand and apply standard deviations, confidence intervals, confidence levels, margin of error, z-scores, and more.
We looked at page 207 and discussed on how statistics help monitor the polar bear population, and how it can determine whether the population is stabilizing or taking a decline. We figured that by using inductive reasoning, one could predict the future outcome of the population.
Math.
Next, we looked at page 208 and 209 to apply our potentially new-found knowledge of mean, median, and mode values. The definitions for these terms are as follows:
Mean: A measure of central tendency determined by dividing the sum of all the values in a data set by the number of values in the set.
Median: A measure of central tendency represented by the middle value of an ordered data set.
Mode: A measure of central tendency represented by the value that occurs most often in a data set.
An example in which we can apply these terms is:
Let's say that this represents the size in cm of the diameter of school spheres. The mean is 47.857 cm (add the numbers up, 335, and divide by the amount of numbers, 7). The median is 50 cm (the middle column holds the 50 cm), and the mode is 20 (the only number repeated twice).
We also went over questions A-E on page 209. From doing so we learned about ranges (the difference between the maximum and the minimum value), outliers (a value in a data set that is very different from the others), utilized our knowledge about central tendencies to determine values for the 3 companies' salaries on page 208, and learned about line plots.
At the end of class, we were given our marks for our Oblique Triangle Trigonometry test, and were assigned the Chapter 5 diagnostic test, which was expected to be done by Monday.
The next person to make a blog will be Nina.
We looked at page 207 and discussed on how statistics help monitor the polar bear population, and how it can determine whether the population is stabilizing or taking a decline. We figured that by using inductive reasoning, one could predict the future outcome of the population.
Next, we looked at page 208 and 209 to apply our potentially new-found knowledge of mean, median, and mode values. The definitions for these terms are as follows:
Mean: A measure of central tendency determined by dividing the sum of all the values in a data set by the number of values in the set.
Median: A measure of central tendency represented by the middle value of an ordered data set.
Mode: A measure of central tendency represented by the value that occurs most often in a data set.
An example in which we can apply these terms is:
Let's say that this represents the size in cm of the diameter of school spheres. The mean is 47.857 cm (add the numbers up, 335, and divide by the amount of numbers, 7). The median is 50 cm (the middle column holds the 50 cm), and the mode is 20 (the only number repeated twice).
We also went over questions A-E on page 209. From doing so we learned about ranges (the difference between the maximum and the minimum value), outliers (a value in a data set that is very different from the others), utilized our knowledge about central tendencies to determine values for the 3 companies' salaries on page 208, and learned about line plots.
At the end of class, we were given our marks for our Oblique Triangle Trigonometry test, and were assigned the Chapter 5 diagnostic test, which was expected to be done by Monday.
The next person to make a blog will be Nina.
Friday 4 November 2011
How to Rewrite Your Sine and Cosine Laws Exam
Many of you struggled with this exam. I know that most of you can calculate sides and angles using Sine and Cosine Laws. That is part of our goal for this unit, but we also need to be able to:
- understand and apply the Ambiguous Case
- solve written problems involving oblique triangles
I encourage you to attempt to improve your mark on this outcome. To do this, you must:
- talk to Mr. Banow about coming in at a lunch hour to practice
- hand in all assignments from Chapters 3 and 4
- complete p. 200 #3, 5, 6, 7, 8 and p. 195 # 11 (I used to have 8 on this list - skip it) - You need to show all diagrams and calculations. You may work on this during the lunch hour you come to work
- schedule a second lunch hour to write the exam
Good luck!
Wednesday 2 November 2011
4.4 Solving Problems Using Obtuse Triangles
Today we continued using Sine and Cosine laws. We also solved problems that can be modelled by one or more obtuse triangles.
Example. a surveyor in a helicopter wants to know the width of Garibaldi Lake. He starts 1610m above the forest and observes the angles of depression to both ends measuring 45 degrees and 82 degrees.
He the figured out the angles in the triangle to be 45 degrees 37 degrees and 98 degrees then used the right triangle it made with the trees and found the far distance to the lake and it was 2237.9m
using sine law he found the lake to be 1384m in width.
Example. a surveyor in a helicopter wants to know the width of Garibaldi Lake. He starts 1610m above the forest and observes the angles of depression to both ends measuring 45 degrees and 82 degrees.
He the figured out the angles in the triangle to be 45 degrees 37 degrees and 98 degrees then used the right triangle it made with the trees and found the far distance to the lake and it was 2237.9m
using sine law he found the lake to be 1384m in width.
Summary of the Process for Solving Triangles
We were assigned pg. 193-197
The Solving Triangles Assignment is due Thursday Nov.3 Remember not to do # 4,8
Next to go is Alexander ! :)
Tuesday 1 November 2011
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