Tuesday, June 6, 2017

Matter

 I watched a couple of brainpop videos about matter. I decided to share my newly refreshed knowledge.

Summary of Knowledge:
(Measuring Matter)

Mass, Volume and Density are all physical properties of matter that are used to measure matter. Matter is anything that has mass, and volume. We measure matter to identify unknown substances, compare substances, and standardize those measurements. To find the mass of an object, measure the object on a digital scale, or a triple beam balance. This method is successful because on milliliter is equivalent to 1 cubic centimeter. To find the volume of an object, multiply it's dimensions, (length x width x height) or displace that object in water. Density is the measure of how tightly packed the atoms are inside of it. To find the density of an object, divide mass/volume.

Summary of Knowledge:
(States of Matter)
Matter is anything that has mass and volume. Matter is made up of atoms. Atoms can chemically combine with other atoms and form a new molecule, or substance. A substance made up of only one type of atom is called an element. The periodic table of elements lists all the known elements that chemically combine with other types of elements to form everything else! Solids, liquids, and gases are all made up of atoms. Liquids have a fixed volume, but not a fixed shape. The atoms inside of a liquid vibrate and slide past one another. If you increase the temperature of a liquid, and reach it's boiling point, it will become a gas. But no matter how many times that substance changes states, the chemical composition stays the same. Water is made up of H20. If you boil liquid water, it becomes steam. But that steam is still made up of H2O. Gases don't have a fixed volume, or a fixed shape. The atoms inside of a gas are very spread apart, and they move around unexpectedly. If you freeze liquid water, it becomes solid ice. Ice has a fixed volume, and a fixed shape. Atoms inside of a solid are packed tightly together and vibrate in place. Other than solids, liquids, and gases there are a couple of other states of matter. Plasma is an electrically charged gas. Colloids are mixtures that contain two separate phases of matter. Bose-Einstein condensate is a state that can only be created in a lab because the temperature is close to absolute zero.

Thursday, June 1, 2017

Lesson 6: Five Number Summary

Welcome to the sixth part of the Data Analysis Series! In this lesson we will be learning how to find the five number summary.

Lesson 6: Five Number Summary

What is a Five Number summary? A summary of all the main points within a data set, splitting it into four sections each with a value of 25%

Here is an example of a data set.
68, 73, 78, 80, 83, 85 , 86, 90, 96

The first part of the five number summary is the minimum, the number with the least value (68)

The second part of the five number summary is the maximum, the number with the greatest value (96)

The third part of the five number summary is the median, the number in the middle (83)

The fourth part of the five number summary is the lower quartile, the median of the lower half (75.5)

The fifth part of the five number summary is the upper quartile, the median of the upper half (88)

Lesson 5: MAD

Welcome to the fifth part of the Data Analysis Series! In this lesson, we will be learning about calculating MAD.

Lesson 5: MAD

What is MAD? MAD is the summary of how much the values in a data set vary or clutter.
This is an example of a data set.
10,11,11,12,13,15

To find the MAD of a data set, we first have to find the mean of all the numbers.
10+11+11+12+13+15= 72
72/6 = 12

Next, we have to find the absolute value of the mean (12) and each of the numbers in the data set.
l10-12l = 2
l11-12l =1
l11-12l =1
l12-12l =0
l13-12l =1
l15-12l =3

Then, we have to find the mean of these new numbers.
2+1+1+0+1+3= 8
8/6= 1.3333333..

So, 1,333333.. is the MAD of the data set.

Lesson 4: Histograms

Welcome to the fourth part of the Data Analysis Series! In this lesson, we will be learning about histograms.

Lesson 4: Histograms

What is a Histogram? A histogram is a diagram consisting of rectangles whose area is equal to the amount of a variable and its width is equal to the interval.

This is an example of a Histogram.

Now let's answer some questions!

How many hours were studied? 5+4+3= 12

Which interval does the median fall? 4-5

How many hours were studied for students 4-5 and over? 4+3= 7



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