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History Bookmarks People Window Help Take a Test Mohannad almalki Secure https://www.mathxd.com/Student/PlayerTest.aspx?testid-174881910&centerwinsyes; Mohannad almaikl& 1/31/18 10:01 PM Time Remalning 01:18:35 Submit Qutz This Quiz: 8 pts possible MTH2502-02 STATISTICS SPRING 2018 Quiz: Quiz CH3 This Question: 1 pt 20450 complete) Some data sets contain outliers, observations that fall wel outside the overall patem of the data Statisicians have a systematic method for avoiding extreme are deleted or "himmed off before the mean Then calculate the mean ofthe scalculated. For instance, to compie a 10% tmmed mean, emaining data. The table below hst delete bo hthe bottom, 10% and the top 10% ofthe ordered data a set of scores for a 40-question algebra final exam Complete parts (a) trough (e) e scores for 15 15 315 17 17 21 22 24 25 28 28 a Do any of the scores looke outiers? OA. No, all ofthe scores are very smlar OB. Yes, te ovo Nghest scores agpear to be outers O C. Yes, the two smalest scores appear to be outiers OD. Yes, the smallest and highest scores appear to be outers. b. Compute the usual mean of the data (Type an r or a decimal ) c, Compute the 5% mm ed mean of Round to three decimal places as needed ) Clicx to seect your answers MacBook Ai , 3 5 8 WE

Explanation / Answer

The given data, in ascending order is as follows-

a)

Yes, the smallest and largest scores appear to be outliers

So, that will be option (D) as the mean is centered around 19

b)

Mean= (2+3+...28+28+28)/20 = 19.65

c)

5% trimmed mean - Remove 5% of 20, that is 1 observation from top and bottom and compute the mean

5% Trimmed Mean= (3+15+...28+28)/18 = 20.166

d)

10% trimmed mean - Remove 10% of 20, that is 2 observations from top and bottom and compute the mean

10% Trimmed Mean= (15+15+...28)/16 = 20.75

2 3 15 15 15 17 17 17 20 21 22 22 23 24 25 25 26 28 28 28

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