Data Set 1e. Complete(a) hrough (c) bekw Consider the data III Click the loon to

Question

Data Set 1e. Complete(a) hrough (c) bekw Consider the data III Click the loon to view the data s a Use the delining formula to abtain the sample standard deviation (Type an integer or a decimal. Round to three decimal places as needed b. Replace tre 13 in the data set by 133 and again use the defining formuia to compute the sample standard deviation set in the accompa yrg 567891011 12 13 Print Done (Type an integer or a decimal. Round to three decimal places as needed c. Compare your answers in parts (a) and (b). The lack of what property of the standard deviation aocounts for its exrerme sensitivity to the The standard deviation in part (b) is the standard deviation in part (a). The standand deviation int which accounts for its extreme senailivity to the change of 13 to 133

Explanation / Answer

Here Mean of the sample x = 9

(a) sample standard deviation s = sqrt [1/(n-1) (x - x)2] = sqrt (1/9 * (x - x)2) = 2.7386

(b) If we change 13 to 133,

sample standard deviation s = 41.5632

(c) The standard deviation in part(b) is greater than the standard deviation in part(a). Here there is lack of central tendency that accounts entire sensitivity to the change from 13 to 133.

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