Listed below are the numbers of doctor's office visits made by 21 families during the past year.1, 1, 2, 3, 3, 4, 4, 6, 6, 6, 7, 7, 8, 9, 9, 11, 11, 13, 14, 19, 21Send data to calculator86420Frequency784110510152025Number of doctor's office visits(a) For these data, which measures of central tendency take more than one value? Choose all that apply.MeanMedianModeNone of these measures(b) Suppose that the measurement 21 (the largest measurement in the data set) were replaced by 29. Which measures of central tendency would be affected by the change? Choose all that apply.MeanMedianModeNone of these measures(c) Suppose that, starting with the original data set, the largest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.MeanMedianModeNone of these measures(d) Which of the following best describes the distribution of the original data? Choose only one.Negatively skewedPositively skewedRoughly symmetrical

(a) For these data, the measure of central tendency that takes more than one value is the Mode. This is because there are multiple numbers that appear most frequently in the data set (4, 6, 7, 9, 11).

(b) If the largest measurement in the data set (21) were replaced by 29, the measures of central tendency that would be affected are the Mean and Median. The Mean would increase because the total sum of the data set would increase, and the Median might change because the middle value could shift. The Mode would not be affected because the frequency of the numbers does not change.

(c) If the largest measurement were removed from the original data set, the measures of central tendency that would be changed are the Mean and Median. The Mean would decrease because the total sum of the data set would decrease, and the Median might change because the middle value could shift. The Mode would not be affected because the frequency of the numbers does not change.

(d) The distribution of the original data is Positively skewed. This is because the data has a long tail on the right side (larger values), indicating that it is skewed in that direction.