The data set below has an outlier. 2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14 Which value is changed the most by removing the outlier? A: the range B: the median C: the lower quartile D: the interquartile range

To identify the impact of removing the outlier on different measures:

The data set is: 2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

1. Range: The range is the difference between the maximum and minimum values. The outlier is 2, so the minimum value is affected the most.

2. Median: The median is the middle value when the data set is ordered. The outlier is 2, which is the lowest value, so removing it will not change the median.

3. Lower Quartile: The lower quartile (Q1) is the median of the lower half of the data. The outlier is in the lower half, so removing it will change the lower quartile.

4. Interquartile Range (IQR): The IQR is the difference between the upper quartile (Q3) and the lower quartile (Q1). Since removing the outlier affects the lower quartile, it will also affect the IQR.

So, the correct answer is:

C: the lower quartile