Mode Formula Class 10

Mode formula class 10 is applied to calculate the mode or modal value of a data set. Mode can be defined as the value that occurs maximum times in a given set. This is a value or a number that possesses a high frequency or seems to appear frequently. There are many aspects in real-life situations wherein the mode formula is applied, for example, in cases where determining the average or mean is not enough. Let us learn more about mode formula, its applications and its implementation in this article.

List of Mode Formula Class 10

Here is a list of the mode formulas for class 10.

Mode Formula of Ungrouped Data

In order to determine the mode for ungrouped data, we need to arrange the data values either in descending or ascending order to find the repeated occurring values and their frequency. The observation that has the highest frequency is the mode of the given data. It is also known as the modal value.

Mode Formula of Grouped Data

The mode formula for grouped data is Mode = L+h (fm−f1) / (fm−f1)+(fm−f2)

Here ‘L’ represents the lower limit of the modal class, ‘h’ is the size of the class interval, ‘fm‘ represents the frequency, f1 is the frequency of the class preceding the modal class and f2 represents the frequency of the class succeeding the modal class

Applications of Mode Formula Class 10

Mode formula class 10 has many real-life uses and significance. Here are some examples of the practical applications of Mode Formula Class 10.

• Mode formula class 10 is applied to measure the central tendency for analyzing categorical data like gender, age, hair color, models of cars, etc.

• Mode formula class 10 is often used in surveys conducted by insurance companies to estimate the median amount spent in healthcare each year. It helps them to know the insurance amount to be provided. These surveys also estimate the mode of their customers’ age to understand which age group needs the insurance the most.

Tips to Memorize Mode Formula Class 10

Here are some tips that could be helpful for kids to memorize mode formulas class 10.

• The students must make sure to understand the concepts first before moving ahead to memorize the formulas. They can get help from teachers or their friends to get clarity on the same.
• They can also go through the derivation of these formulas to develop a rock-solid foundation as well as understand the underlying concepts.
• It is necessary that the students must practice a variety of questions based on median formulas to ensure a conceptual understanding of all important formulas.

Mode Formula Class 10 Examples

Example: The age of students in a school football team is given as S = {13, 15, 14, 13, 14, 13, 15, 13}. Determine the mode of the given set of data using the mode formula.

Solution: To find the Mode of the given data set we have to observe the values in

given set of data: {13, 15, 14, 13, 14, 13, 15, 13}

By applying the mode formula, we can see that there is just one value that is repeating. Therefore, it is a unimodal list.

Mode = {13}

Example: Find the mode of the ungrouped data from the following table.

Solution: To determine the mode of the ungrouped data, we have to observe the class with the highest frequency. Here, the class of the bike with the color "white" has the highest frequency. Hence, the mode is 20.

∴ Mode = 20.

Students can download the printable Maths Formulas Class 10 sheet from the link given below.