[-/4 Points] DETAILS MY NOTES Consider a data set with five different data values. Suppose the highest value is increased by 10 and the lowest is decreased by 10. (If this question seems confusing because you aren't given any data, make up your own five data values, and the one, and subtract 10 from the smallest one.) (a) How does the mean change? The mean increases because the two new values are further away from the rest of the data than they were before. The mean decreases because the minimum value decreased by 10. The mean does not change, because the sum of the data does not change. The mean increases because the sum of the data increases. (b) How does the median change? The median increases because the data has more extreme values. The median decreases because the minimum value decreased by 10. The median increases because it is affected by changes to the minimum and maximum values. The median changes because the sum of the data changes. The median does not change. Changing the minimum and maximum data values does not affect the median. Again, consider the data set with five different data values. Suppose the highest value is increased by 10 and the lowest is left unchanged. (If this question seems confusing because you aren't given any data, make up your own five data values, and t largest one, and make no change to the smallest one.) (c) How does the mean change? The mean increases because the sum of the data increases. The mean increases because the two new values are further away from the rest of the data than they were before. The mean decreases because the minimum value decreased. The mean does not change, because the sum of the data does not change (d) How does the median change? The median increases because the sum of the data changes. The median decreases because the minimum value decreased. The median does not change. Changing the maximum data value does not affect the median. The median increases because it is affected by changes to the minimum and maximum values. The median decreases because most of the data is much lower than the maximum value. Type here to search WA Stats 1 - Summ