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Mathematics

Grade10

Easy

Question

The number of values is 11 and the value of the arithmetic mean is 19 then the sum of all values is

30
209
8
189

hint Hint:

$a r i t h m e t i c space m e a n space equals fraction numerator begin display style sum from i equals 1 to n of x subscript i end style over denominator n end fraction$
$a r i t h m e t i c space m e a n space equals fraction numerator begin display style s u m space o f space a l l space t h e space v a l u e s end style over denominator n end fraction$

The correct answer is: 209

$209 space i s space t h e space c o r r e c t space c h o i c e w e space k n o w space T h e space f o r m u l a space o f space t o space c a l c u l a t e space a r i t h m e t i c space m e a n space i s space fraction numerator begin display style sum from i equals 1 to n of x subscript i end style over denominator n end fraction space w h e r e sum from i equals 1 to n of x subscript i space space i s space t h e space s u m m a t i o n space o f space a l l space t h e space o b s e r v a t i o n s space i n space t h e space d a t a space a n d space n space i s space t h e space n u m b e r space o f space o b s e r v a t i o n s space i n space t h e space d a t a comma space s o a r i t h m e t i c space m e a n space equals fraction numerator begin display style sum from i equals 1 to n of x subscript i end style over denominator n end fraction space n space equals space 11 space comma space a n d space a r i t h m e t i c space m e a n space i s space 19 comma space g i v e n s o comma space 19 space equals fraction numerator begin display style sum from i equals 1 to n of x subscript i end style over denominator n end fraction space 19 space equals fraction numerator sum from i equals 1 to n of x subscript i over denominator 11 end fraction sum from i equals 1 to n of x subscript i space equals space 19 space cross times 11 space equals space 209 space i s space t h e space a n s w e r s u m space o f space a l l space v a l u e s space i s space equals space 209$

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