Introduction to Statistics Free Course:
Statistics is the science of making effective use of numerical data relating to groups of individuals or experiments. It deals with all aspects of this, including not only the collection, analysis and interpretation of such data, but also the planning of the collection of data, in terms of the design of surveys and experiments.
Let us study statistics course freely.
Statistics Free Course - Basics concepts:
Arithmetic mean:
The arithmetic mean in statistics is the average of data in arithmetic. A set of data which is divide by sum of observations and number of observations in the given data.
Sum of observations
Arithmetic Mean = --------------------------------------
Number of observations
Median:
The median is a set of numbers which the middle number and find the set of numbers in them. Then arrange the number in order to select the middle number.
Mode:
It is a set of numbers which occurs frequently in the set of data and no number can occur more than once.
Standard Deviation:
The standard deviation is an arithmetical figure which can spread and variability the data. It has the root mean square of values in their arithmetic mean. Is this topic Sum of Two Random Variables hard for you? Watch out for my coming posts.
Examples for Statistics Free Course:
The followings are the examples for statistics free course.
1. Find the arithmetic mean of weights for 6 peoples in kilograms are 45, 18, 65, 82, 78, 33, 71, and 60.
Solution:
Sum of total number
Mean = -----------------------------------
Total number
45 + 18 + 65 + 82 + 78 + 33 + 71 + 60
= -------------------------------------------------------------------------
10
452
= ----------
10
= 45.2
2. Find the median of 12, 10, 24, 18, 45, and 30.
Solution:
Arrange the data in ascending order as 10, 12, 18, 24, 30 and 45.
N = 6
Since n is even, median = `1 / 2` [nth/2 item value + (`n / 2` + 1)th item value]
= `1 / 2` [6th item value + (`6/2` + 1)th item value]
= `1 / 2` [3rd item value + 4th item value]
= `1 / 2` [18 + 24]
= `1 / 2` * 42
= 21
3. Find the mode of 90, 35, 80, 72, and 35.
Solution:
35 are repeated twice.
Mode =35
4. Find the Standard deviation for 2, 5, 1, 9 and 8.
Solution:
Step 1:
To calculate the mean and deviation.
X = 2, 5, 1, 9, 8
M = `(2 + 5 + 1 + 9 + 8) / 5`
= `25 / 5`
= 5
Step 2:
To find the sum of (X - M) 2
9 + 0 + 16 + 16 + 9 = 50
Step 3:
Where N = 5, the total number of values.
Find N - 1.
5 - 1 = 4
Step 4:
To locate Standard Deviation by the method.
√50 / √4 = `7.07 / 2`
= 3.53
Statistics is the science of making effective use of numerical data relating to groups of individuals or experiments. It deals with all aspects of this, including not only the collection, analysis and interpretation of such data, but also the planning of the collection of data, in terms of the design of surveys and experiments.
Let us study statistics course freely.
Statistics Free Course - Basics concepts:
Arithmetic mean:
The arithmetic mean in statistics is the average of data in arithmetic. A set of data which is divide by sum of observations and number of observations in the given data.
Sum of observations
Arithmetic Mean = --------------------------------------
Number of observations
Median:
The median is a set of numbers which the middle number and find the set of numbers in them. Then arrange the number in order to select the middle number.
Mode:
It is a set of numbers which occurs frequently in the set of data and no number can occur more than once.
Standard Deviation:
The standard deviation is an arithmetical figure which can spread and variability the data. It has the root mean square of values in their arithmetic mean. Is this topic Sum of Two Random Variables hard for you? Watch out for my coming posts.
Examples for Statistics Free Course:
The followings are the examples for statistics free course.
1. Find the arithmetic mean of weights for 6 peoples in kilograms are 45, 18, 65, 82, 78, 33, 71, and 60.
Solution:
Sum of total number
Mean = -----------------------------------
Total number
45 + 18 + 65 + 82 + 78 + 33 + 71 + 60
= -------------------------------------------------------------------------
10
452
= ----------
10
= 45.2
2. Find the median of 12, 10, 24, 18, 45, and 30.
Solution:
Arrange the data in ascending order as 10, 12, 18, 24, 30 and 45.
N = 6
Since n is even, median = `1 / 2` [nth/2 item value + (`n / 2` + 1)th item value]
= `1 / 2` [6th item value + (`6/2` + 1)th item value]
= `1 / 2` [3rd item value + 4th item value]
= `1 / 2` [18 + 24]
= `1 / 2` * 42
= 21
3. Find the mode of 90, 35, 80, 72, and 35.
Solution:
35 are repeated twice.
Mode =35
4. Find the Standard deviation for 2, 5, 1, 9 and 8.
Solution:
Step 1:
To calculate the mean and deviation.
X = 2, 5, 1, 9, 8
M = `(2 + 5 + 1 + 9 + 8) / 5`
= `25 / 5`
= 5
Step 2:
To find the sum of (X - M) 2
9 + 0 + 16 + 16 + 9 = 50
Step 3:
Where N = 5, the total number of values.
Find N - 1.
5 - 1 = 4
Step 4:
To locate Standard Deviation by the method.
√50 / √4 = `7.07 / 2`
= 3.53
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