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        The mean and standard deviation of a group of 100 observations were found to be 20 and 3 , respectively. Later on it was found that three observations were incorrect , which were recorded as 21 , 21, and 18 . Find the mean and standard deviation if incorrect observations are omitted.
2 years ago

Arun
23036 Points
							Dear Yashika  Hello student,Incorrect eman = 20 and incorrect S.D. =3.Hence, This gives S xi = 2000corrected S xi = 2000-21-21-18 = 1940correct mean = 1940/97 = 20.Incorrect S.D. = 3Incorrect variance = 9.Correct Sxi2 = 40900 – 212 - 212 - 182Correct Sxi2 = 39694Hence, variance of remaining observations = 39694/ 97 – (20)2= 409.216 – 400= 9.216Hence, corrected S.D. = v9.216 = 3.035

2 years ago
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