learning statistics probability problems

The word ‘Statistics’ has been derived from either Latin word ‘Status’ or Italian word ‘Statista’ or German word ‘Statistik’ or French word ‘Statistique’ each of which means a political state. The learning statistics defines that the “mathematical method along with numerical style”. Learning statistics is used for solving or finding the problems of the state. Learning probability supplies necessary information for developmental activities in all the departments.Let us see learning statistics probability problems in this article.


Probability definition:


The probability of an event E is a fraction of times we expect E to occur if we show again the same experiment over and over. The expected probability approaches the theoretical probability problems as the number of trials gets bigger and bigger.  If E is a single outcome s, then it is represented as to P (E) and the probability of the outcome is s, and probability of s and E is represented as P(s) for P (E). The groups of the probabilities of all the outcomes are the probability distribution of the problems.


Learning Statistics probability Example problems:


Question 1:

Find x and y so that the ordered data set has a mean of 25.3 and a median of 27.
9, 12, 17, 22, 25, x, 29, 32, 38, y

Answer:

x = 29, y = 40

Question 2:

Given the data set
62 , 60 , 68 , 75 , 72 , 74 , 76 , 78 , 80 , 82 , 96 , 101,
find
a) the median,
b) the first quartile,
c) the third quartile,

Answer:

1.median = 75

2.first quartile = 69

3.third quartile = 81

Question 3:

The marks scored by the student are,
72, 66, 72, 96, 44, 90, 50
Find
a) the mean
b) standard deviation

Answer:

1.mean = 70

2.standard deviation = 18.6 (rounded to 1 decimal place)