Introduction to solve normal frequency distribution:
In this article now we are going to discuss about the solve normal frequency distribution. In probability theory and statistics it is one of the attractive title.This normal frequency distribution is also known as Gaussian distribution. Solving is the process of teaching the students one by one step and helping them to solve easier is that the concept of solves normal frequency distribution. The given below are the examples of solve normal frequency distribution.
Solve Normal Frequency Distribution:
A frequency distribution is in the form of tabular group of data presented in the frequency of each observation.
Normal frequency distribution are of two types:
1)discrete frequency distribution
2 grouped frequency distribution.
Examples Problem for Normal Frequency Distribution:
Example 1:
Using the term of solve normal frequency distribution:
If x is the normal random with standard deviation and mean calculate the variable and the probability of P(X^56). When mean = 50 and standard deviation = 3.
Solution:
Given
Mean = 50
Standard deviation = 3.
By using the formula of
Z = (Y - )/ sigma
Given value for y = 56
Z=(56-50)/3
= 6 / 3
= 2
Z = 2
Using the Z table, the value of Z = 0.9772
Z= 2 = 0.9772
If Y is greater than then we use the formula
Y > = 0.5 + Z
56> 50= 0.5 + 0.9772
= 1.4772
Example 2:
Using the term of solve normal frequency distribution:
If y is the variable of normal random with standard deviation and mean calculate the variable and the probability of P(Y^50). When mean = 45 and standard deviation = 4
Solution:
Given
Mean = 45
Standard deviation = 4
By using the formula of
Z = (Y - )/ sigma
Given value for y = 50
Z=(50-45)/4
= 5/4
= 1..25
Z = 1.25
Using the Z table, the value of Z = 0.8944
Z= 1.25 = 0.8944
If Y is greater than then we use the formula
Y > = 0.5 + Z
56> 50= 0.5 + 0.8944
= 1.3944
A frequency distribution shows us a summarized grouping of data divided into mutually exclusive classes and the number of occurrences in a class. It is a way of showing unorganized data e.g. to show results of an election, income of people for a certain region, sales of a product within a certain period, student loan amounts of graduates, etc. Some of the graphs that can be used with frequency distributions are histograms, line graphs, bar charts and pie charts. Frequency distributions are used for both qualitative and quantitative data.
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