105 , 91, 52, 86, 100, 96 , 98 , 109 , 96, 37, 70 Question 1 : A) what is the sa

Question

105 , 91, 52, 86, 100, 96 , 98 , 109 , 96, 37, 70 Question 1 : A) what is the sample size ? B) what is the 15% trimmed mean of these 11 data points? C) what is the sample mean of the 11 data points? D) what is the sample deviation of these 11 data points ? 105 , 91, 52, 86, 100, 96 , 98 , 109 , 96, 37, 70 Question 1 : A) what is the sample size ? B) what is the 15% trimmed mean of these 11 data points? C) what is the sample mean of the 11 data points? D) what is the sample deviation of these 11 data points ? Question 1 : A) what is the sample size ? B) what is the 15% trimmed mean of these 11 data points? C) what is the sample mean of the 11 data points? D) what is the sample deviation of these 11 data points ?

Explanation / Answer

Arranging the data points in ascending order. We have-

A) Sample size is 11 as there are 11 data points in total

B) 15% Trimmed Mean= Take two observations from the beginning and ending, we have-

Trimmed Mean=91

C) Sample Mean= (37+52+70+....+109)/11= 85.45

D) Sample Variance, S^2= [(37-85.45)^2+(52-85.45)^2+.....(109-85.45)^2]/n-1=526

Sample Standard Deviation, S=Sqrt(526)=23

37 52 70 86 91 96 96 98 100 105 109

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