# 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.

Bike color |
Red |
Blue |
White |
Black |
Silver |
---|---|---|---|---|---|

Number of bikes sold |
8 |
15 |
20 |
10 |
11 |

**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.

## FAQs On Mode Formula Class 10

### What is the Mode Formula Class 10?

Mode formula class 10 is defined as the formula to calculate the mode of a given set of data. Mode refers to the value that is repeatedly occurring in a given set and mode is different for grouped and ungrouped data sets. Mode = L+h (fm−f1) / (fm−f1)+(fm−f2)

### How to Find Mode Using Mode Formula Class 10?

We use the mode formula class 10 only in the case of grouped data which involves the following steps:

- The first step is to Identify the modal class.
- The second step is to determine the frequency of the modal class, which is represented as fm or f1. Then, calculate the size of the class interval and represent it as h.
- Obtain the value of the lower limit of the modal class, and represent it as l.
- Find f0 (the frequency of the class preceding the modal class) and f2 (the frequency of the class succeeding the modal class).
- Plug in the values mentioned above in the mode formula, Mode = L+h (fm−f1) / (fm−f1)+(fm−f2).

### Is Mode Formula for Grouped and Ungrouped Data the same?

No, the mode formula for grouped and ungrouped data is not the same. To find the mode for ungrouped data, arrange the data values either in ascending or descending order. Then, identify the repeated values and find their frequency. The observation with the highest frequency will be the mode of the given data. To find the mode for grouped data, use the mode formula which is given as, Mode = L+h (fm−f1) / (fm−f1)+(fm−f2)

### Why is it Important to Solve Various Problems Based on the Mode Formula?

Students should solve maximum questions based on mode formula class 10 as it will help them in understanding all core concepts and their applications. Getting well-versed with these concepts will enable students to identify and derive different formulas which are to be applied in the questions.

### How to Memorize the Mode Formula Class 10?

To memorize the mode formula class 10, students should apply it to solve a variety of problems. Applying the formula will enable students to memorize and understand it better.

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