Maths

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count. E.g 10 + 10 + 10 + 10 +10 = 50  50 ÷ 5= 10. 10 is the mean.

Who invented Mean?

The Belgian statistician Quetelet (1796-1874), famous as the inventor of l'homme moyen, the average man, was one of the first scientists to use the mean as tyhe representative value for an aspect of a population.

Mode: The mode is the number that occurs most often in a data set. To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

Who Invented Mode?

Early use of the statistical concept of the mode was by English mathematician Karl Pearson (1857-1936) in 1895 

Median: The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers). Example: The median of 4, 1, and 7 is 4 because when the numbers are put in order (1 , 4, 7) , the number 4 is in the middle.

Who invented Median?

An early use in English of the statistical concept of median was Francis Galton's (1822-1911) 

Video

Mean, Mode and Median

Volume

What Do We Mean By 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

Circle

 Perimeter

Circle

𝛑=22/7 or 3.14

How I do calculate the circumference of a circle?

Formule based= using radius

                            circumference = 2𝛑r

                            Using diameter= 

Diameter: The diameter is the length of the line through the center that touches two points on the edge of the circle.

Radius: The Radius is the distance from the center outwards.

The Circumference is the distance once around the circle.

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

26000/100 = 260 m

Cir 2 x PI x 260

=1633.62817987