The median is the middle number in a data set, or the mean of two middle values
E.g 3, 4, 5 , 6, 7
In this the median is 5
Another e.g 3, 4, 6, 7
4 + 6 = 10
10 ÷ 2 = 5.
The median for this is 5.
Sunday, June 17, 2012
The mode
The mode is the easiest for data sets
It is the most frequently shown number in a data set
Example: 1,1,1,1,1,2,2,2,3
The mode is 1.
It is the most frequently shown number in a data set
Example: 1,1,1,1,1,2,2,2,3
The mode is 1.
The mean
To find the mean in a data set, you must take all the values, add them together and then devide that number by the number of values.
Example: 1, 2, 3, 4, 5
1 + 2 + 3 + 4 + 5 = 15
15 ÷ 5 = 3
The mean is 3
Example: 1, 2, 3, 4, 5
1 + 2 + 3 + 4 + 5 = 15
15 ÷ 5 = 3
The mean is 3
Definitions Relevant to Geometry
Parallel lines: Lines in the same plane that never cross or intersect.
Intersecting: Lines in the same plane that meet or cross.
Perpendicular: Lines in the same plane that intersect at a 90 degree angle.
Line Segment: A piece of a line with starting and ending points.
Bisect: To cut in half ("Bi" means "two" and "sect" means "to cut.")
Perpendicular Bisector: A line that divides another segment in half and meets at right (90 degree) angles.
Angle Bisector: A line that divides an angle into two equal parts.
The Basics of a (Mathematical) Circle
The basic definition of a circle: A round two dimensional plane.
Diameter: The distance across a circle through its centre. (usually represented by d)
It is NOT this:
It is this:
Radius (Plural is Radii.): The distance from the centre of a circle to its outer edge (usually represented as r)
(Some random fact: If you measure from the centre to the outer edge of a "perfect" circle all around, the measurements will be virtually the same. This is what fully defines a circle, a round, two-dimensional plane that measured from the centre to the outer edge, the measurements would be equal in distance.)
We can now safely state that 2r=d. This means that 2 radii are needed to make the diameter of a circle.
Circumference: The perimeter around the circle, it is usually represented as C. (this is what I mean by "outer edge".)
To figure out the circumference, multiply the diameter by Pi (π).
Pi is approximate to 3.14.
Some circumference formulas:
C=πd
C=2πr
(I'll also throw in on how to figure out the area.)
Some equivalents to a rectangle or parallelogram:
Length/Height: Radius
Width/Base: Half of the circumference
How to figure out the area of a rectangle or parallelogram: Length x Width (or Base x Height)
Enough Parallelogram talk, to figure out the area of a circle is:
Pi radius square.
The Basics of Integers.
(Old topic, I know.)
Integers are sets of numbers, their opposites, and zero.
Examples: 1, 2, 3, 4, 0, -1, -2, -3, -4
Remember: Zero is neutral, it is not positive or negative.
Positive numbers are numbers above zero.
Negative numbers are numbers below zero.
A zero pair is a set of integers that equal zero.
Example: 1, -1
Opposite integers have the same numeral but different signs (positive or negative)
They are also the same distance away from zero on a number line.
Friday, June 15, 2012
sectors of circle graphs are made from central angles
if the sector covers 25% of the graph the central angle is 25% of 360 which is 90
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