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Tuesday, 13 April 2021

Mean Median mode

Who invented median?

-Francis Galton 


Who invented mode?

-Karl Pearson 


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.

These links are where I got my information on

Thursday, 8 April 2021

My Pepeha and culture


Ko Richard tōku pāpā. (father)

Ko Tracey tōku māmā. (mother)

Ko Jack tōku ingoa. (your name)

Nō Christchurch ahau. (where you are from)

Ko Bluff hill tōku maunga (your mountain). 

Ko Te Huruhuru Ao o Horomaka tōku kura. (Hornby High is my school)


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

- Formula. Barrel Volume = πh12 (2D2 + d2


The volume of a cone


There is a kiddy pool in the back garden it is 3 meters wide 8 meters long and we can only fill it 1.2m high.

- How much water does it take to full?

to calculate I use 

lxbxh

3 x 8 x l.2 = 28.8

I know that 1m3 = 1 liter = 1000cm3

28.8 x 1000 = 28800 liter


-the pool is on a deck how heavy is it?

3m x 8m x 1.2m = 28.8M3

1l = 1kg
28.8 x 1000 = 28800kg

There is a trailer of barrels 

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


how much weight is on the trailer

0.75/2 = 0.375

3.142 x 0.375 x 2 = 2.3565m2

2.3565 x 1000 - 2356.5

2356.5 x 6 = 14139L

M3

Cm3

Mm3



Monday, 15 March 2021

Tom Gate evolution

 


Text title: Tom Gates Genius idea

Text type: book  

Text creator: Liv Pichon

Text purpose: To Read

Date: 3, March 2021

The brilliant Tom Gates is back in this, the fourth installment of this award-winning series from Liz Pichon. In this volume of his hilarious diary, Tom documents the ups and downs of his daily life as he deals everything from Dad's embarrassing new fitness regime to the challenges of entering his band DOGZOMBIES into the school Talent Contest - and most horrifying of all, seeing weirdo big sister Delia without her sunglasses.


Both existing fans of Tom Gates and newcomers to the series will be delighted by this wickedly funny and engaging story. With plenty of Tom's scribbly illustrations, doodles, and lively hand-drawn cartoons throughout, as well as a fun flipbook, it is an appealingly visual read that will keep young readers entertained from beginning to end.

Monday, 1 March 2021

Area of basic shapes

Today in maths we are learning about the area of basic shapes.

The area can be defined as the space occupied by a flat shape or the surface of an object.


- Rectangle

the area is measured with the formula w x h 
w = width
h = Height

- Circle

The area of a circle is measured with a formula PI x R2 

Circumference = 2 x pi x r

r = Radius

PI = 22/7 or 3.141

- Triangle

The area of a circle is measured with a formula 1/2 x b x h

b = base

h = verticle height  


Tuesday, 23 February 2021

Circles


How do I calc the circumference of a circle? Formular based

Using radiance

Circumference 2 PI Radius

Using diameter PI Diameter

 

These are the units of calculating a circle.


PI = 22/7

What is the perimeter or circumference of the circles?

- Diameter = 40 meters
- Radius = 20 meters
- PI = 22/7 or 3.141

To calc the perimeter or circumference of the circles I can use 2 PI Radius or PI Diameter.

Cir = 2 x 3.141 x 20 m
= 125.66 meters
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Radius - 15 meters
PI = 22/7 or 3.141

To calc the perimeter or circumference of the circles I can use 2 PI Radius or PI Diameter.

Cir 2x 3.141 x 15m
= 94.28m
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Diameter = 22.5 meters
Radius 11.25 meter
PI = 22/7 or 3.141

To calc the perimeter or the circumference, I am going to use PIdeiamter

Cir 3.141 x 22.5m
= 70.71 meter
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Radius = 26cm
Diameter = 52 cm 
PI = 22/7 or 3.141

To convert the radius from cm to M I am going to divide it by 100

Radius
26
------- = 0.26m
100

Diameter
52
------- = 0.52m
100

To calc the perimeter of the circumference, I am doing to use 2PI x r

Cir 2 x  PI x 0.26m 
= 1.63362817987m

-----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Radius = 26000mm
Diameter = 520000
PI = 22/7 or 3.141

To convert the radius from cm to M I am going to divide it by 100

26000
------------ = 260 m
100

Cir 2 x PI x 260
=1633.62817987






Thursday, 18 February 2021

Converting mm to km chart

 


mm

cm

m

km

12000mm

1200cm

12m

0.012

5000mm

500cm

5m

0.005km

12000000mm

120000cm

1200m

1.2km

326mm

32.6cm

3.26m

0.00326

1200mm

120cm

1.2m

0.0012