Asked by Topperlearning User | 15th Nov, 2016, 02:43: AM

Expert Answer:

table row cell x subscript i end cell cell space space space space space f subscript i end cell cell space space space space space space space space space f subscript i x subscript i end cell cell space space space x subscript i minus x with bar on top end cell cell space space space left parenthesis x subscript i minus x with bar on top right parenthesis squared end cell cell space space space f subscript i left parenthesis x subscript i minus x with bar on top right parenthesis squared end cell row 6 2 12 cell negative 13 end cell 169 338 row 10 4 40 cell negative 9 end cell 81 324 row 14 7 98 cell negative 5 end cell 25 175 row 18 12 216 cell negative 1 end cell 1 12 row 24 8 192 5 25 200 end table
table row 28 4 cell space space space 112 end cell cell space space space space space space space space space 9 end cell cell space space space space space space 81 end cell cell space space space space space 324 end cell row 30 3 cell space space 90 end cell cell space space space space space space space 11 end cell cell space space space space 121 end cell cell space space space space space 363 end cell row blank cell T o t a l end cell cell space space space 760 end cell blank cell space space space space space space space space space space T o t a l end cell cell space space space space space 1736 end cell end table
N equals sum from i equals 1 to 7 of f subscript i equals 40
sum from i equals 1 to 7 of f subscript i x subscript i equals 760
sum from i equals 1 to 7 of f subscript i left parenthesis x subscript i minus x with bar on top right parenthesis squared equals 1736
M e a n space x with bar on top equals fraction numerator sum from i equals 1 to 7 of f subscript i x subscript i over denominator sum from i equals 1 to 7 of f subscript i end fraction equals 760 over 40 equals 19
V a r i a n c e equals 1 over N sum from i equals 1 to 7 of f subscript i left parenthesis x subscript i minus x with bar on top right parenthesis squared equals 1 over 40 cross times 1736 equals 43.4

Answered by  | 15th Nov, 2016, 04:43: AM