New mean is 2.53% larger than the original mean.
What is mean?
Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.
We can find the percentage larger is the mean of the new list in comparison with the original as shown below:
Given, set of number 55, 70, 81, 83, 88, 91
Median= (81+83)/2
= 164/2
= 82
Mean = (55+70+81+83+88+91)/6
= 468/6
= 78
New value which is added = 82*1.12
= 91.84
New Mean = (55+70+81+83+88+91+91.84)/7
= 559.84/7
= 79.97
Increase in mean = 79.97-78
=1.97
increase percentage (1.97/78) *100
= 2.53%
Hence, new mean is 2.53% larger than the original mean.
Learn more about Mean here:
https://brainly.com/question/17060018
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