Question

Which measures of center does not change when a value of 0 is inserted into these datasets?

Dataset 1:

(12,19,18,12,19,14,12,28,22,10)

Dataset 2:

(12,19,18,12,19,14,12,28,22,10,0)

(1 point)
Responses

The mean stays the same
The mean stays the same

The median does not change
The median does not change

The mode remains the same
The mode remains the same

No measures of center change
No measures of center change
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Answer 1

The mode remains the same.

Reason: Original mean = 166/10 = 16.6; with 0 it becomes 166/11 ≈ 15.09 (changes).
Original median = average of 5th and 6th values = (14+18)/2 = 16; with 0 added the median is the 6th value = 14 (changes).
Mode = 12 (appears 3 times) and still appears 3 times after adding 0, so the mode does not change.