F i n d space t h e space m e a n space a n d space V a r i a n c e space o f space t h e space f o l l o w i n g space d a t a
6 comma 7 comma 10 comma 12 comma 13 comma 4 comma 8 comma 12

Asked by Topperlearning User | 15th Nov, 2016, 01:43: AM

Expert Answer:

M e a n equals fraction numerator begin display style sum from i equals 1 to 8 of end style x subscript i over denominator 8 end fraction equals fraction numerator 6 plus 7 plus 10 plus 12 plus 13 plus 4 plus 8 plus 12 over denominator 8 end fraction equals 72 divided by 8 equals 9
E left parenthesis x squared right parenthesis equals fraction numerator begin display style sum from i equals 1 to 8 of x squared subscript i end style over denominator 8 end fraction equals fraction numerator 6 squared plus 7 squared plus 10 squared plus 12 squared plus 13 squared plus 4 squared plus 8 squared plus 12 squared over denominator 8 end fraction equals 361 over 4
V a r i a n c e equals E left parenthesis x squared right parenthesis minus open parentheses M e a n close parentheses squared
space space space space space space space space space space space space space space space space space equals 361 over 4 minus 81 equals 9.25

Answered by  | 15th Nov, 2016, 03:43: AM