LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

INTRODUCTION & DEFINATION OF MODE

**MODE –**

**The value
around which there is the greatest concentration is called mode.**

__Example)__ Given
below is the number of pairs of shoes of different sizes sold by a shop

**Ans.) Since,
the sale of size 8 is maximum, the modal shoe size is 8**

**Mode for
Individual Data –**

**In the case
of individual data, the mode is the variate which occurs most frequently.**

**Empirical
Formulae –**

**We may
calculate the mode by using the formulae –**

**Mode = 3
(median) – 2 (mean)**

**Example.1)
The marks obtained by 14 students in a class are given below –**

**35,
25, 14, 23, 24, 30, 28, 25, 33, 25, 33, 27, 22**

**Find
the modal marks.**

**Ans.) Arranging the data in ascending order we get,**

**14, 22, 23,
24, 25, 25, 25, 26, 27, 28, 30, 33, 33, 35**

**Clearly, 25
occurs the maximum number of times**

**Hence, Mode
= 25 (Ans.)**

**Example.2) Find the mode and median of the following
frequency distribution -**

Ans.) We have –

**So, n = 29, which is odd **

** 29 + 1**

** Median = value of (---------)th observation **

** 2**

** = value of 15th observation = 13**

**Since the
frequency corresponding to 14 is maximum, so the mode is 14 (Ans.)**

Your second block of text...