Wednesday, May 31, 2017

Lesson 3: Unknown Values (Mean)

Welcome to the third part of the Data Analysis Series! In this lesson we will be learning about unknown values. (mean)

Lesson 3: Unknown Values (Mean)
What is an unknown value in a mean question? A question that asks for the unknown value in a data set.
This is an example of an unknown value mean question:
Katie buys 6 hair ties. These are the costs of the hair ties: 16,19,22,30.50,41.50,___The mean price is 25.50. What is the cost of the 6th hair tie?

There are two ways to solve this problem:
Trial and Error: Add up all of the known values. Divide by the number of units (in this case, hair ties). Trial and Error the unknown value until you reach the correct mean. Check your work.
16+19+22+30.50+41.50= 129
Unknown value: 24
Checking:
16+19+22+30.50+41.50+24= 153
153/6= 25.50

Backwards: Add up all of the known values. Multiply the number of units (in this case, hair ties) by the mean. Subtract the known values from the product of the units and mean. Check your work.
Example:
16+19+22+30.50+41.50= 129
25.50x6= 153
153-129= 24
Checking:
16+19+22+30.50+41.50+24= 153
153/6= 25.50


Lesson 2: Observing Dot Plots

Welcome to the second part of the Data Analysis Series! In this lesson, we will be learning about observing dot plots.

Lesson 2: Observing Dot Plots

What is a Dot Plot? A Dot Plot is a numerical chart that organizes various numbers on a plot.

This is an example of a Dot Plot. First, we have to organize the numbers in order of value.
1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5

Now, let's answer some questions!

How many people were surveyed?  28

How many people had 4 family members or more? 5

What is the median number of family members in this survey? 3

What is the mean of family members in this survey? 2.78

Lesson 1: Mean, Median, Mode and Range

This week I am taking a test on Data Analysis. I am going to make a series of blog posts covering each of the standard topics that I will be tested on this Friday.

Lesson 1: Calculating Mean, Median, Mode and Range.
In this lesson we will be using the numbers from this example:
20, 22, 22, 26, 27, 29, 32
To find the mean in a data set, add all of the numbers and then divide the total by amount of numbers that are in the data set.
Example:
20+22+22+26+27+29+32= 178
178/8= 22.25

To find the median in a data set, simply cross out one number at a time on each side.
Example:
20, 22, 22, 26, 27, 29, 32
The median in this data set is 26.

To find the mode of a data set, identify which number is used the most.
Example:
In this data set 22 is the mode because it is used twice, and all the other numbers are only used once.

To find the range in a data set, subtract the maximum from the minimum.
Example:
32-20= 12


Monday, May 15, 2017

Motivational Speech Practice

I have always thought about the question,
"What do you want to be when you grow up?"
And after 12 years of contemplation, I have come to the conclusion that I would like to be a Motivational Speaker. So I decided to practice. I took some of my ideas from the nike motivational video called "Rise and Shine, Welcome to the Grind" Here is my practice speech, inspired by that video.

Leave No Dream Behind
Lauren Kennedy
What do you want in life? Just ask yourself that, you don’t need to come up with the answer right away, just think. Never let anybody tell you that you can't. Never let anybody tear you apart. I know it may seem hard now, but the only person that is stopping you is yourself.

One step toward living your dreams is to become friends with yourself. Becoming friends with yourself can give you Confidence, Honesty, Trustworthiness, Respect, Humbleness, and many more qualities that can help you live your life to the greatest potential. It doesn’t matter how many tiny voices inside your head tell you otherwise, because everyone starts somewhere. Just Start. You can only achieve your dreams if you are sure of yourself. If you can accept who you are, if you can accept the fact that you do and will make mistakes, if you can accept that one day you will get there. And the only way to do that is, to Believe.

Believe in who you are and who you can be. You can only pursue your dreams when you have the drive and determination to do so. Don't listen to the thousands of thoughts racing through your mind telling you can’t do it. Because you can. You have always been able to. Now, it the time to start the journey. Because the remainder of your journey will only be against yourself. You will only feel satisfied at the end. When you can genuinely tell yourself, “I did It!” and feel proud. Because in the end, you have something to be proud of, you have always had something to be proud of, and that is... you!
Now is the time, leave no dream behind.

Some important points I took from the video were:


“Calm the thoughts that tell you, you aren’t good enough. Believe in the ones that tell you, you belong.” – Lauren Kennedy

Surface Area VS Volume

In math we are learning about Surface Area and Volume. I was talking to my peers this morning, asking them, "Which one is harder? Surface Area? Or Volume?" Four of seven students think that Surface Area is harder. This is why I am going to explain how to calculate Surface Area and Volume today.

Here is an example of a Three-Dimensional prism.
To find the Surface Area of this rectangular prism we first have to multiply the dimensions to find the area of each face. To find the Area of the top and bottom faces, we would multiply 4x3x2= 24. To find the area of one of the sets of faces, we would multiply 4x5x2= 40. To find the other set of faces, we would multiply 3x5x2= 30. Now, because we have all the calculations, we have to add the area of the faces together. 24+40+30= 94, so the Surface Area of the rectangular prism is 94 units squared.

To find the Volume of the prism we would multiply 3x4x5= 60, so the Volume of the rectangular prism is 60 units cubed.

It amazes me how the same three-dimensional prism has such different answers to their Surface Area, and Volume.