Question

In: Statistics and Probability

Please find if there are any outliers in this data set using the Z-score.

Miles
40001
53402
53500
59817
59902
63436
64090
64342
64544
65605
66998
67998
69568
69922
71978
72069
73341
74276
74425
77098
77202
77437
77539
79294
82256
82464
85092
85288
85586
85861
86813
88798
89323
89341
89641
92609
92857
94219
95066
95774
97831
101769
102534
105662
109465
116269
116803
118444
121352
138114

Please find if there are any outliers in this data set using the Z-score. This must be done in excel so please show the formulas used!

Solutions

Expert Solution

Z-Score Formula:  

where X is the Miles each values and is average of Miles data and is the Standard deviation of the Miles data.

So first calculate the Average and Standard deviation using formula in excel.

Where dollar sign using for fixed the position of Average and Standard deviation value.

I have write the formula of Z-score, Average and Standard Deviation in the square bracket:

If Z-Score less than -3, it's means there are outliers. but in our Z-score there is no value which is less than -3.

If Z-Score greater than +3, It's means there are outliers. But in our Z-Score there is no value which is greater than +3.

Therefore there is no outliers in Miles data.


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