Arithmetic Mean
Q1: What is Arithmetic Mean?
Answer:
The arithmetic mean is defined as the average value of all the data set, it is calculated by dividing the sum of all the data set by the number of the data sets.
Q2: How to calculate the Arithmetic Mean?
Answer:
We can calculate the arithmetic mean by using the steps discussed below,
Step 1: Find the sum of all the values of the data set.
Step 2: Count the number of the values of the data set (say n)
Step 3: Divide the sum obtained in step 1 with the n from step 2 to get the arithmetic mean.
Q3: What are the Types of Mean?
Answer:
There are three types of mean that include,
- Arithmetic Mean
- Geometric Mean
- Harmonic Mean
Q4: What is the formula of Arithmetic Mean?
Answer:
The arithmetic mean formula is,
x̄ = (Sum of Observations)/ (Number of Observations)
where x̄ represents the arithmetic mean.
Q5: What is the Use of Arithmetic Mean?
Answer:
Arithmetic mean is used for various purposes.
- It gives the value of the average data set.
- It is used to find the various other central tendencies i.e. Median, Mode, etc.
Q6: What is the Arithmetic Mean Formula for Grouped Data?
Answer:
The arithmetic mean formula for the ungrouped data is,
x̄ = (x₁f₁+x₂f₂+……+xₙfₙ) / ∑fi
where,
x̄ is the arithmetic mean
f₁+ f₂ + ….fₙ = ∑fi indicates the sum of all frequencies
Q7: What is the Arithmetic Mean Formula for Ungrouped Data?
Answer:
The arithmetic mean formula for grouped data is,
Mean (x̄) = (Sum of all Observations) / (Number of Observations)
Arithmetic Mean
Arithmetic Mean is defined as the ratio of all the values or observations to the total number of values or observations. Arithmetic Mean is one of the fundamental formulas used in mathematics and it is highly used in various solving various types of problems. We can understand it with some examples, if in a family the husband earns 35,000 rupees and his wife earns 40,000 rupees then what is their average salary? This average is also called the arithmetic mean of 35,000 rupees and 40,000 rupees, which is calculated by adding these two salaries and then dividing it by 2.
Average Salary (Arithmetic Mean of Salary) = (35000 + 40000)/2 = 37500.
Thus, the arithmetic mean is used in various scenarios such as in finding the average marks obtained by the student in marks, the average rainfall in any area, etc.