mode

Hello students, Previously we have discussed about what is cartesian product and In today's session we are going to discuss about mode which comes under cbse books, Mathematics covers many topics, statistics is one of them. In mathematics statistics plays a very important role to summarize the data by the various types. Mean, median and mode are the three measures of central tendency. But here we have to discuss the mode.

Mode in an ungrouped data, the most occurring term gives the data and if some terms have frequencies more than 1, then the term having the largest frequency is the mode.

 In a grouped data we have

Mode = L1+ (f-f1) / (2f – f1 - f2) * (L2 - L1), where L is the lower limit of model class, f is the frequency of model class and f1 and f2 are the respective frequencies of the preceding and succeeding classes of the model class.

Let’s take some example of mode:

Example 1: What is the mode of 5, 7, 9, 12, 10, 15, 7, 8, 7, 25?

Solution: Since 7 occurs most often, so mode = 7

Example 2: Find the mode of the following frequency distribution

Term               25        35        45        55        65

Frequency      4          9          16        13        6

Solution: Since 45 occurs most often, so mode = 45

Example 3: Find the mode from the data given below

Marks obtained          0-5      5-10   10-15             15-20             20-25             25-30

            Number of students  18        20          25                    30                    16                    14

Solution: The maximum frequency is 30. So mode class is 15-20

 L1 =15 L2 =20, f = 30, f1 = 25 and f2 = 16.

Mode = L1+ (f-f1) / (2f – f1 - f2) * (L2 - L1) = = 15+ (30 - 25) / (60 – 25 - 16) * (20 - 15) = 16.3

So exact values is 16.3

In the next session we will discuss about range and You can visit our website for getting information about calculus tutor.