Practice Questions on Methods to find Mean

Question 1. Data Set: 15, 25, 30, 35, 40, 45. Calculate the mean using the Direct Method.

Question 2. The marks obtained by 8 students in a test are: 75, 80, 85, 90, 95, 100, 105, 110. Calculate the mean using the Assumed Mean Method with an assumed mean of 90.

Question 3. The following data represents the weights (in pounds) of 50 computer towers:

Weight (pounds)

5

10

15

20

25

Frequency

5

10

15

10

10

Calculate the mean weight using the Step-deviation Method with an assumed mean of 15 and a common difference of 5.

Related Articles:

Methods to find Mean

Mean is the average, which is a basic principle of statistics and mathematics. The term refers to a measure of central tendency; it represents a value or a mean that has been taken among the numbers of a specified set. The significance of the mean calculation in areas like economics, finance, and social sciences is very high. The following article will discuss the techniques to find mean. Also, these techniques include the formula of the mean, grouped data, ungrouped data, the different ways to calculate the mean, etc.

Table of Content

  • What is Mean?
  • What is the Formula of Mean?
  • Mean Formula for Grouped Data
  • Mean Formula for Ungrouped Data
    • Direct Method
    • Assumed Mean Method
    • Step-Deviation Method
  • Types of Mean in Math
    • Arithmetic Mean
    • Weighted Mean
    • Geometric Mean
    • Harmonic Mean
  • Importance of Mean
  • Solved Examples on Methods to find Mean
  • Practice Questions on Methods to find Mean

Similar Reads

What is Mean?

Mean can be understood as a statistical measure that is used for the analysis of the datasets and shows the average value of all the numbers that are given. Simply put, it is the sum of all the values divided by the total number of values. The sample mean reflects the widely accepted measure of central tendency for collecting data about a group. It is a very popular tool for studying data from a number of points of view and for generalization. For instance, by the mean score in a set of exam scores, it can be understood how well the students did in the exam....

What is the Formula of Mean?

The formula for calculating the mean is straightforward:...

Mean Formula for Grouped Data

Grouped data, as such, is a type of data formed of ranges or intervals and values are grouped into them. For example, we can group a set of scores into ranges of 0–50, 51–75, and 86–100. For calculating the mean for grouped data, you should know the frequency of each group and the midpoint of each group. The formula to calculate the mean for grouped data is:...

Mean Formula for Ungrouped Data

Ungrouped data is a type of data where each value is unique and not grouped into ranges. There are three methods used for the calculation of the mean for ungrouped data which are:...

Types of Mean in Math

In mathematics, there are several types of means that are commonly used to represent the central tendency of a set of numbers. These include the Arithmetic Mean, Geometric Mean, Harmonic Mean, and Weighted Mean....

Importance of Mean

The mean is important in real life because it provides a summary of the central tendency of a set of data. Here are some ways the mean is used:...

Conclusion

Basically mean is a simple concept in both statistics and mathematics. It is one of the most used measures of central tendency from the set of numbers a real value that shows the average. The ability to calculate the mean is a must in many fields, such as economics, finance, and social sciences. Through its use, you can get key insights into the central tendency of a given set of data and this knowledge comes in handy in every conceivable decision-making....

Solved Examples on Methods to find Mean

Example 1: Find the mean of following data set: 10, 20, 36, 12, 35, 40, 36, 30, 36, 40...

Practice Questions on Methods to find Mean

Question 1. Data Set: 15, 25, 30, 35, 40, 45. Calculate the mean using the Direct Method....

FAQs on Methods to find Mean

What is the mean in statistics?...

Contact Us