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Maths Statistics for Class 10


Mean is the sum of observations divided by the total number of observations in a raw data

Example:  data:  2,3,5,7

                Mean =  (2+3+5+7) / 4

                Mean = 17/4

                Mean = 4.25

Mean for Grouped data can be obtained by three methods:
  1. Direct Method
  2. Assumed Mean Method
  3. Step-deviation Method

Direct Method
                       

Assumed Mean Method


Step-deviation Method



Exercise 14.1:

     Click this link for Questions and Answers on Mean all 3 Models
    
     Click this link for Questions and Answers on Mean other Numericals:



Exercise 14.2 : Mode:
Mode:

    Most Repeating Value in the raw data

        Example: 2,3,5,4,8,5,4,5,7
        Mode is: 5

Mode for Grouped data:


 Click this link for Questions and Answers on Mode other Numericals:


Exercise 14.3 : Median:

Median:

Median is the middle most value in the raw data.

 

Example 1: 2,5,4,6,9,8,4 find the median of the given data.

Solution:

Step 1: arrange in ascending order: 2, 4, 4, 5, 6, 8, 9

Step 2: the total number of elements: n = 7

Step 3: if n is odd:

                          The median is (n+1)/2 term 

                        8/2 = 4th term in the data: 5 is the median

 

Example 2: 2,5,4,6,9,8,4,9 find the median of the given data.

Solution:

Step 1: arrange in ascending order: 2, 4, 4, 5, 6, 8, 9, 9

Step 2: the total number of elements: n = 8

Step 3: if n is odd:

                       The median is (n+1)/2 term 

            If n is even:

                        The median is n/2  and  (n/2) + 1  terms average.

                        8/2 = 4

                        4th and 5th terms average: (5+6)/2  = 5.5 is the median 

Median of Grouped data is:

    



 Click this link for Questions and Answers on Median other Numericals:


Exercise 14.4: OGIVE

Click the link for notes:

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