Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by 10. (a) Does the mean change? Explain. Yes, changing the extreme data values affects the mean. Yes, the sum of the data changes. No, the number of data values does not change. No, the sum of the data does not change. Yes, the number of data values changes. X b) Does the median change? Explain. Yes, the sum of the data changes. No, changing the extreme data values does not affect the median. No, the number of data values does not change. No, the sum of the data does not change. Yes, the number of data values changes. X (c) Is it possible for the mode to change? Explain. Yes, depending on the number a data values. No, the only change is an increased frequency of 1 for the extreme values. No, all values will still occur at the same frequency. Yes, depending on the range of the data values. Yes, depending on which data value occurs most frequently after the data are changed. X