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