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Title: Probabilities & Statistics
Description: Brief explanation of specific areas in Math.
Description: Brief explanation of specific areas in Math.
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Chapter 1: Mean
In daily living, we encounter the idea of the concept behind the word, "average"
...
However, relating to mathematics, "average" is also known as the "mean" or the "mean value"
...
We can determine the mean via a number line:
If however, the number of data in a given set is even, for example:
1,2,3,4,5,6,7
We can use this formula:
Symbol for mean
Summation of…
1+2+3+4+5+6+7
7
= 28/7
=4
Number of Data
If by instance we are given a circumstance wherein frequency is present, this formula can be used:
Ex: The following table suggests the survey that emphasizes the number of sibling each participant has
...
Number of siblings (f)
Participants (x)
3
1
4
2
5
3
•
(3 x 1)+(4 x2)+(5 x 3)
1+2+3
= 26/6
=
4
...
Evaluate the given sets:
As we can see, the 1st set’s data does not stray away from each other’s value, meaning their values minimally differ
from one another
...
The only similarity between the two
set are their mean
...
The higher the
standard deviation, the higher the difference between the values in the set is present
...
Solve for the SD
...
9
79
...
73
68
-3
...
21
121
...
1
1
...
1
78
6
...
21
558
...
1
123
...
84
SD= √2229
...
587
Chapter 3: Median, Quartiles
Analyze the given data below:
1,3,5,7,9,11,13
Must Know:
1
...
)
3
...
)
Median – the one that divides the set into halves ; the center value of the set
Lower Quartile – the 25% in the set of data; the middle point between the lowest datum and the median
Upper Quartile – the 75% in the set of data ; the middle value between the highest datum and the median
Let’s now differentiate the previous set from this set:
1, 3, 5, 7, 9, 11, 13, 15
Chapter 4 : Interquartile Range
Interquartile Range = Upper quartile – Lower Quartile
1, 3, 5, 7, 9, 11, 13,
IR = 11-3 =8
~~Small interquartile range indicates that the numbers connects closely to the median while a large interquartile
range suggests the opposite
...
It
is used for the easy identification of data within large quantities
...
Title: Probabilities & Statistics
Description: Brief explanation of specific areas in Math.
Description: Brief explanation of specific areas in Math.