If the outler were removed from the data set, would the mean increase or decrease

295, 305, 316, 319, 320, 324, 331, 333, 334, 336, 337, 346, 357, 1474
would it have no effect on the mean
The would increase
The mean would decrease
Cannot be determined

1 answer

The outlier in this dataset is 1474.

If the outlier were removed from the data set, the mean would decrease.

Calculating the mean:
(295 + 305 + 316 + 319 + 320 + 324 + 331 + 333 + 334 + 336 + 337 + 346 + 357) / 13 = 337

If the outlier 1474 were removed:
(295 + 305 + 316 + 319 + 320 + 324 + 331 + 333 + 334 + 336 + 337 + 346 + 357) / 12 = 327.25

Therefore, the mean would decrease from 337 to 327.25 if the outlier were removed from the data set.
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