the variances of observation 3,4,5,6,7,10 is

Asked by patelmeghna77 | 20th Aug, 2020, 10:26: AM

Expert Answer:

Mean of the observations is (3+4+5+6+7+10)/6 = 35/6 = 5.82
Variance open parentheses straight sigma squared close parentheses equals fraction numerator begin display style sum from straight i equals 1 to 8 of end style open parentheses straight x subscript straight i minus top enclose straight x close parentheses squared over denominator straight n end fraction comma space space space top enclose straight x space is space the space mean
equals fraction numerator open parentheses 3 minus 5.82 close parentheses squared plus open parentheses 4 minus 5.82 close parentheses squared plus open parentheses 5 minus 5.82 close parentheses squared plus open parentheses 6 minus 5.82 close parentheses squared plus open parentheses 7 minus 5.82 close parentheses squared plus open parentheses 10 minus 5.82 close parentheses squared over denominator 6 end fraction
equals fraction numerator open parentheses negative 2.82 close parentheses squared plus open parentheses negative 1.82 close parentheses squared plus open parentheses negative 0.82 close parentheses squared plus open parentheses 0.18 close parentheses squared plus open parentheses 1.18 close parentheses squared plus open parentheses 4.18 close parentheses squared over denominator 6 end fraction
Now space calculate space square s space and space get space the space variance

Answered by Renu Varma | 20th Aug, 2020, 11:24: AM