# NCERT Solutions for Class 10 Maths Exercise 14.2

NCERT Solutions for Class 10 Maths Exercise 14.2 Statistics. Questions in ex. 14.2 are based on Mode. Answers of all questions based on Mode are given in Hindi Medium as well as English Medium free to use for all students updated for academic session 2021-2022 based on latest CBSE Curriculum.

Videos related to exercise 14.2 of statistics are given in Hindi and English medium separately. Practice with PDF solutions and take help of videos to understand more confidently.## Class 10 Maths Exercise 14.2 Solutions in Hindi and English Medium

### NCERT Solutions for Class 10 Maths Exercise 14.2 in Hindi and English Medium

Class: 10 | Mathematics |

Chapter: 14 | Statistics |

Exercise: 14.2 | NCERT Solutions PDF and Videos |

### Class 10 Maths Exercise 14.2 Solutions in Hindi Medium Video

#### Class 10 Maths Chapter 14 Exercise 14.2 Solutions in Videos

#### Statistics in Earlier Classes

The classification of the given data is studied in cluster and non-cluster frequency distributions. You have learned to represent data graphically in various charts, such as bar charts, histograms (including ones of different widths), and frequency polygons. Actually, he went a step further by checking some numerical representations of data, also called measures of central tendency, namely mean, mean, and mode. In this chapter, we will expand the study of these three measures, that is, the mean, mean, and mode of non-grouped data in grouped data. We will discuss cumulative frequency, the concept of cumulative frequency distribution, and cumulative frequency curves, also known as warheads.

##### Mode of Grouped Data

As we have studied in previous classes, one mode is the value between the observations that occur with the highest frequency, that is, the value of the observation that has the maximum frequency. In addition, we know how to find the mode of unstructured data. Here, we are going to discuss ways to achieve a pooled data mode. It is possible that more than one value has the same maximum frequency. In such situations, the data is called a multimodal. Although grouped data can also be multidimensional, limiting us to the problems of having only one mode.

##### Comparison between Mode and Mean

The mode may be less than the mean in one situation, but in some other problems, it may be equal to or greater than the mean. It depends on the situation demand if we are interested in finding the average marks obtained by the students or the average of the marks obtained by most students. The first condition requires the mean and the second condition requires the mode.

###### How to find a Mode of data?

In a grouped frequency distribution, it is not possible to determine the mode by observing frequencies. Here, we can only detect a square with maximum frequency, which is called a modal square. The mode is a value within the modal class and is given by the formula:

Mode = l + [(f1 – f0)/(2f1 – f0 – f2)] x h

l | Lower limit of the modal class |

h | Size of the class interval (assuming all class sizes to be equal) |

f1 | Frequency of the modal class |

f0 | Frequency of the class preceding the modal class |

f2 | Frequency of the class succeeding the modal class |

##### What is the situations in 10th Maths Statistics exercise 14.2 where mode is more appropriate?

In situations which require establishing the most frequent value or most popular item, the mode is the best choice, e.g., to find the most popular T.V. programme being watched, the consumer item in greatest demand, the colour of the vehicle used by most of the people, etc.

Question 2

Answer:

##### What are important sums of exercise 14.2 of class 10 Maths?

In exercise 14.2 of class 10 Maths, there are 6 questions and three examples (examples 4, 5, 6). All questions and examples of this exercise are important from the exam point of view.

##### How much time students need to complete exercise 14.2 of class 10th mathematics?

Students need a maximum of two days to complete exercise 14.2 (chapter 14) of class 10th mathematics if they give 1-2 hours per day to this exercise. This time also depends on student’s speed, efficiency, capability and many other factors.

##### What will students learn in exercise 14.2 of class 10 Maths?

In exercise 14.2 of class 10 math, students will learn how to find Mode of Grouped Data. This exercise is easy but needs practice to avoid calculation mistakes.