<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A 24-year-old woman presents to a medical office for a follow-up evaluation. The medical history is significant for type 1 diabetes, for which she takes insulin. She was recently hospitalized for diabetic ketoacidosis following a respiratory infection. Today she brings in a list of her most recent early morning fasting blood glucose readings for review. Her glucose readings range from 126 mgdL134 mgdL, except for 2 readings of 350 mgdL and 380 mgdL, taken at the onset of her recent hospitalization. Given this data set, which measures of central tendency would be most likely affected by these additional extreme values?? A: Mean, B: Median, C: Mode, D: Mean and median, E: Median and mode,  <response>: This is a question about measures of central tendency and how they are affected by extreme values. The key information is that this patients fasting blood glucose readings are mostly in the 126-134 mgdL range, except for two very high readings of 350 and 380 mgdL taken during a hospitalization. The mean is the arithmetic average of a data set. It is sensitive to extreme values or outliers. Adding a few extremely high or low values will pull the mean towards those values.The median is the middle value of a data set arranged in numerical order. It is resistant to the effects of outliers. A few extreme values will not significantly affect the median. The mode is the value that occurs most frequently in a data set. It would not be affected by a couple of outlier values.So in this case, the two very high glucose values would likely affect the mean, pulling it higher, but not the median or mode.A: Mean 