35 44 47 48 53 54 57 58 63 63 63 64 64 66 67
35 , 44 , 47 , 48 , 53 , 54 , 57 , 58 , 63 , 63 , 63 , 64 , 64 , 66 , 67 , 69 , 69 , 71 , 72 , 74 , 75 , 79
(a) Which measures of central tendency do not exist for this data set? Choose all that apply.
Mean
Median
Mode
None of these measures
(b) Suppose that the measurement 35 (the smallest measurement in the data set) were replaced by 23. Which measures of central tendency would be affected by the change? Choose all that apply.
Mean
Median
Mode
None of these measures
(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
Mean
Median
Mode
None of these measures
(d) The relative values of the mean and median for the original data set are typical of data that have a significant skew to the left. What are the relative values of the mean and median for the original data set? Choose only one.
Mean is greater
Median is greater
Cannot be determined
Solution
a) you can calculate 3 of them without problem
None of these measures
(b) Suppose that the measurement 35 (the smallest measurement in the data set) were replaced by 23. Which measures of central tendency would be affected by the change? Choose all that apply.
the mean is the only that would be affected because depends of the # of values and the value of each one
Mean
(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
mean for the same cause of the literal b) and median because the median is the value in the middle of the data if you remove 1 of the value of the data the median will afect
Mean
Median
(d) The relative values of the mean and median for the original data set are typical of data that have a significant skew to the left. What are the relative values of the mean and median for the original data set?
Mean is greater

