Mean, Median and Mode

Who invented Median: Francis Galtons was the person to invent median.

Who invented Mode: Karl Pearson was the person to invent mode.

Who invented Mean: The term is first found in the mid-1690s in the writings of Edmund Halley.

What does Median mean?

The middle value of a range of values.

What does Mode mean?

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

What does Mean mean?

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Why do we use Median?

The mean value of numerical data is without a doubt the most commonly used statistical measure. Sometimes the median is used as an alternative to the mean. ... Just like the mean value, the median also represents the location of a set of numerical data by means of a single number.

Why do we use Mode?

Mode is most useful as a measure of central tendency when examining categorical data, such as models of cars or flavors of soda, for which a mathematical average median value based on ordering can not be calculated.

Why do we use Mean?

The mean can be used to get an overall idea, or picture, of the data set. Mean is best used for a data set with numbers that are close together. The median can be used to get an idea of what values fall above the midpoint and what values fall below the midpoint.

A real life example of Median?

The number of students in a school, the amount of money an average citizen in a town earns, or the temperature for your vacation destination, are all numbers that are important in everyday life.

A real life example of Mode?

One of the factory owners lives in the town and his salary is in the millions of dollars. If you use a measure like the average to try to compare salaries in the town as a whole, the owner's income would severely throw off the numbers. This is where the measure of mode can be useful in the real world.

A real life example of Mean?

The mean is often used in research, academics and in sports. When you watch a baseball game and you see the player's batting average, that number represents the total number of hits divided by the number of times at bat. In other words, that number is the mean.

All of this information that I have gathered has come from Wikipedia.

How to work out the volume

How to work out the volume?

What do we mean by volume?

the amount of space that a substance or object occupies or that is enclosed within a container.

How do we measure it?

In math, the volume is the amount of space in a certain 3D object. For example, a fish tank has 3 feet in length, 1 foot in width, and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Is there a conversion to liters?

A liter is a cubic decimetre, which is the volume of a cube 10 centimeters × 10 centimeters × 10 centimeters (1 L ≡ 1 dm3 ≡ 1000 cm3). Hence 1 L ≡ 0.001 m3 ≡ 1000 cm3 and 1 m3 (i.e. a cubic meter, which is the SI unit for volume) is exactly 1000 L.

The volume of a rectangle

To find the volume of a rectangle, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

The volume of a cylinder

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r²

The volume of a prism 

-Volume of a rectangular prism = (length x width x height) cubic units. V = (l x w x h) cubic units

The volume of a barrel

When used to denote a volume, one barrel is exactly 42 US gallons and is easily converted to any other unit of volume

The volume of a cone

The formula for the volume of a cone is V=1/3hπr²

M3

Cm3

Mm3

Some of this information that I have gathered has come from Wikipedia or google.

There is a pool.

The pool is 3m by 8m by 1.2m.

How much water does it take to fill the pool?

The pool is on a deck. How heavy is the pool.

3 x 8 x 1.2= 28.8m3

1L = 1Kg

28.8L= 28.8kg

I know that 1m3= 1000L

28.8 x 1000= 28,800L

There is a trailer of barrels

Each barrel is 1.5m high with a diameter or 0.75m

How much weight is on the trailer?

0.75/2 = 0.375

3.142 x 0.375 x 2= 2.3565

2.3565 x 1000= 2356.5

2356.5 x 6= 14139L

Reflection Task

Text Title: Reflecting on myself in Wananga for the whole week

Text type: Writing

Text Author: Myself

Text Purpose: To see how I have been this whole week

This week in Wananga I have been learning ready and I have been finishing my work on time. I have respected my teachers and my fellow classmates. I have been completing my work to the best of my ability. 

Area of basic shapes

 How to find the area of a rectangle:

 

How to find the area of a triangle:  Video link-  Area of a triangle

How to find the area of a circle:

Converting Chart

 

mm	cm	m	km
12000mm	1200cm	12m	0.012km
5000	500cm	5m	0.005km
1200000mm	120000cm	1200m	1.2km
326mm	32.6cm	0.326m	0.000326km
1200mm	120cm	1.2m	0.012km

Basic tools in Woodwork

 Carpenter Pencil: 

• Identify- 
  
• Describe- The pencil is thick but flat.
• Explain- It is used to mark out your work.

Marking Gauge:

Identify- 

Describe- There is a long piece of wood with a nail in it and then there is a square shaped piece of wood attached around the long piece and there is a handle to tighten or loosen it.

Explain- A marking gauge is used in woodworking to mark out lines for cutting.

Combination Square:

Identify-    

Describe- It's a ruler with a bubble level.

Sliding Bevel:

Explain- A combination square is a multi-purpose measuring and marking tool used in metalworking.

Sliding Bevel:

Identity-  

Describe- There is a piece of wood with a metal part.

Explain- A sliding bevel, also known as a bevel gauge or false square is an adjustable gauge for setting and transferring angles.

Woodworkers set square:

Identify-   

Describe- It's a piece of wood with a metal piece shaped like a ruler and the metal is attached to the wood.

Explain- The set square is one of the most important tools used in making furniture. It is used for marking out right angles before any joint is cut.

Parts of a tree

            3 main parts of the tree

Trunk: The trunk is the part of a tree that connects the leafy crown with its roots. ... This allows the leaves to obtain water and nutrients that are necessary for the manufacture of food from light energy.

Roots: The root system of a tree performs many vital functions. In winter, it is a store-house for esseqntial food reserves needed by the tree to produce spring foliage.

Crown: Major functions of the crown include light energy assimilation, carbon dioxide absorption and release of oxygen.

The insides of a tree

Bark: Bark provides many functions for trees. Bark plays an essential role in transporting photosynthetic products in plant tissues. Bark is also crucial to the mechanics of the stem. Bark is involved in defense against herbivory, protects against fire, and provides insulation in cold conditions.

Cambium: The vascular cambium and cork cambium are secondary meristems that are formed in stems and roots after the tissues of the primary plant body have differentiated. The vascular cambium is responsible for increasing the diameter of stems and roots and for forming woody tissue. The cork cambium produces some of the bark.

Sapwood: Sapwood, also called alburnum, outer, living layers of the secondary wood of trees, which engage in transport of water and minerals to the crown of the tree. The cells therefore contain more water and lack the deposits of darkly staining chemical substances commonly found in heartwood

Heartwood: The heartwood functions as long-term storage of biochemicals, which vary from species to species. These chemicals are known collectively as extractives.

Pith: Pith, or medulla, is a tissue in the stems of vascular plants. Pith is composed of soft, spongy parenchyma cells, which store and transport nutrients throughout the plant.

How are trees turned into timber?

The trees are usually cut into smaller lengths on-site and then picked up by a timber lorry, which transports the timber to a processing site, such as a sawmill, paper mill, pallet, fencing or construction producer. At the chosen site, the logs are debarked and bucked, or cut to the required length. 

Different types of cuts

Quarter Sawn

Rift Sawn

Live Sawn

Plain Sawn

Defects in timber

• Wind cracks

• Shakes

• Twisted fibers

• Upsets

• Rind galls

• Burls

• Water stain

• Chemical stain

Timber used in New Zealand

While rimu was still available, other indigenous timbers such as matai (matai: New Zealand native timber (black pine) often used for flooring and occasionally for weatherboards.), miro, totara (totara: New Zealand native timber, used for flooring, window joinery and shingles, especially in Wellington.), kahikatea, tawa.