To find the mean, we sum up all the numbers in the data set and then divide by the total number of values.
The sum of the original data set is 4 + 12 + 7 + 0 + 5 + 2 = 30.
There are 6 numbers in the data set.
So, the mean of the original data set is 30/6 = 5.
Now, if 1 is added to the data set: 4, 12, 7, 0, 5, 2, 1,
The new sum is 30 + 1 = 31.
And the total number of values is 7 now.
So, the new mean is 31/7 ≈ 4.43.
Therefore, the mean decreases when 1 is added to the original data set.
Describe the change to the MEAN if 1 is added to the data set below:
4, 12, 7, 0, 5, 2
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The mean does not change
The mean increases
The mean decreases
1 answer