Statistics

Statistics

: a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

: a collection of quantitative data

Calculating the mean

The following table shows the distance from Tessa's house to her favorite locations.

Location	School	Library	Park	Movie theater
Distance from Tessa's house (in kilometers)	$3$3	$5$5	$4$4	$4$4

Find the mean distance.

3+5+4+4/4   =16/4   =4

to ans is 4

 count value count and division count how many number 

2ed question

Anduin casts a variety of healing spells. The number of health points that each of his healing spells restores is listed below.

$\qquad 43, 57, 30, 18, 26, 12$43, comma, 57, comma, 30, comma, 18, comma, 26, comma, 12

Find the mean number of health points. = 31

solve  =>  43+57+30+18+26+12/6  = 186/6  =  31

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Calculating the median

The following data points represent the number of attendees at each of the private dance events hosted by Fenel Arrangements.

Sort the data from least to greatest.

• $48$48
• $47$47
• $42$42
• $33$33
• $47$47
• $49$49
• $51$51
• $38$38
• $34$34

 

 

Find the median number of attendees.

33,34,38,42,47,47,48,49,51  = 47

first you set value in small to large then fine medial value 

 

45,78,80,90 = 79

20,52 54,56,58,60,80 =56

this 7 number in row to find median value 3 value right side or  3 value left side and median value is 56 

20,30,40,50 =35

medial value is 30 or 40 to , 30 or 40 median value is 35 to your ans is 35

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mode

 your number in most common number (repeated )  value fiend 

like ex =>  4,3,1,6,1,7,1   = 1

45,48,45,56,78,15,45,89,71  = 45

 

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Standard Deviation 

EX :1  your value is 82,93,98,89,88

 

Ex :2   your value is 76,84,69,92,58,89,73,97,85,77

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 Normal Distribution & Probability Problems

https://www.wolframalpha.com/widgets/view.jsp?id=8ab70731b1553f17c11a3bbc87e0b605

 

 

 

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 Variance

1st type to solve 

2ed Type to solve

 

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Range

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IQR

your value of data = 6,9,14,10,5,8,11 

 1st set value small to big value = 5, 6 , 8 , 9 , 10 , 11, 14

2st you find medal value to =  9 

5, 6 , 8 , 9 , 10 , 11, 14 = your medal value is 9 

3rd  fiend next medal value =   5, 6 , 8 , 9 , 10 , 11, 14 

6 or 11 is medal value 

IQR = 6-11  = 5

your answered is = 5   

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Correlation Coefficient

your ans is r = +1 then your graph like this  X△ Y△

your ans is r = -1 then your 2ed graph  X△ Y ⛛

your r = 0 then your graph like this

 

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Conditional Probability

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Priors , posteriors , maximum likelihood Descriptive statistics

inferential Statistics , Regression , Hypothesis testing , A/B testing 

 

 

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