In question 1(iii), (iv), (v) find the number of observations lying between and , where M.D. is the mean deviation from the mean.

(iii) 34, 66, 30, 38, 44, 50, 40, 60, 42, 51


Given, Numbers of observations are given.


To Find: Calculate the Mean Deviation from Mean


Formula Used: Mean Deviation =


Explanation: Here, Observations 34, 66, 30, 38, 44, 50, 40, 60, 42, 51 are Given.


Mean =


Mean for given data


Deviation |d| = |x-Mean|


And, The number of observations is 10.


Now, The Mean Deviation is



Mean Deviation M.D=


Now,


- M.D = 45.5-9=36.5


+ M.D = 45.5+9=54.5


So, There are total 6 observation between - M.D and + M.D


(iv) Given, Numbers of observations are given.


To Find: Calculate the Mean Deviation from Mean


Formula Used: Mean Deviation =


Explanation: Numbers of observations are 22,24,30,27,29,31,25,28,41,42.


Mean =


Mean for given data


Deviation |d| = |x-Mean|


And, The number of observations is 10.


Now, The Mean Deviation is



Mean Deviation M.D=


Now,


- M.D = 29.9-4.88= 25.02


+ M.D = 29.9+4.88=34.78


So, There are total 6 observation between - M.D and + M.D


(V) Given, Numbers of observations are given.


To Find: Calculate the Mean Deviation from Mean


Formula Used: Mean Deviation =


Explanation: Numbers of observations are 38,70,48,34,63,42,55,44,53,47.


Mean =


Mean for given data


Deviation |d| = |x-Mean|


And, The number of observations is 10.


Now, The Mean Deviation is



Mean Deviation M.D=


Now,


- M.D = 49.4-8.68=40.72


+ M.D = 49.4+8.68=58.08


So, There are total 6 observation between - M.D and + M.D


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