mathematics

Parin Sir > mathematics
20
Jun
Examples 12 to 14

(12) Find the mean deviation of  15, 18, 20, 10, 12.

Soln.  \overline{x} =  

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20
Jun
Examples 9 to 11

(9) Find the median of  15, 35, 42, 45, 18.

Soln. Writing them in ascending order :  15, 18, 35, 42, 45.   Here,  n  =  5.

\therefore M   =

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20
Jun
Examples 5 to 8

(5)  Find  the mode from the data given below :

Marks Obtained 0 – 10 10 – 20
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20
Jun
Examples 1 to 4

(1) Find  the A.M., G.M.  and  H.M.  of  9 and  49.

Soln. A.M.  =  \frac{9+49}{2}=28  =  28   ;

G.M.  = 

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19
Jun
Results  on  Diagrams

☼ Results  on  Diagrams  :

■ Histogram ( or column graph ) :   For frequency distribution for grouped data, classes are converted into real class intervals, that is, class intervals whose endpoint…

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19
Jun
Standard  Deviation

☼ Standard  Deviation  ( S. D.  or  \sigma  ) :

 (i) Ungrouped  Data : –

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19
Jun
Mean  Deviation 

☼ Mean  Deviation  ( \delta_{\overline{x}} )  :

 (i) Ungrouped  Data : –

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19
Jun
Results  On  Mode

☼ Results  On  Mode  :

 (i) Ungrouped  Data : –

  Z    =    The observation which is repeated for maximum number of times.

 (ii) Discrete Data ( Grouped Data ) : –

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19
Jun
Results  on  Median  ( M )

☼ Results  on  Median  ( M )  :

 (i) Ungrouped  Data : –

  First of  all arrange the data  in ascending or descending order of magnitude, then

M  = 

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19
Jun
Results on  A.M.

☼ Results on  A.M. ( \large \overline{x} )  :

 (i) Let  there be n observations

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