Which measures of center will change when a value is added to the datasets?
Dataset 1: (9,10,12,22,21,20,12,9,10,22,21,12,12,9,10)
Dataset 2: (9,10,12,22,21,20,12,9,10,22,21,12,12,9,10,12)
(1 point)
Responses
mean
mean
median
median
None. All the measures will stay the same.
None. All the measures will stay the same.
mode
mode
The measures of center that will change when a value is added to the datasets are:
1. Mean: The mean will change because it is calculated by summing all the values in the dataset and then dividing by the number of values. Adding a new value will change the sum and therefore the mean.
2. Median: The median will also change because it is the middle value of the dataset when it is sorted in ascending order. Adding a new value may change the position of the middle value and therefore the median.
The mode, on the other hand, will not change by adding a value. The mode is the value that appears most frequently in the dataset, and adding a new value will not affect the existing mode unless the new value becomes the most frequent one.