Questions

1. Which measure of central tendency takes all of the data into account?

2. Given the data 3, 2, 7, b, 1, 5, 7 find all possible values of b if

a.) the median is 5.

b.) the mean is 5.

3. Suppose a college graduate who is a professional athlete makes 30 million dollars per year. Would the college be misleading the public if the college used the midrange of alumni salaries as a measure of what its graduates earn?

4. Find the mean, median, mode, and midrange for the data 1, 7, 9, 13, 13, 20. Now add 3 to each data value and find the mean, median, mode, and midrange. Multiply each orginal data value by 3 and find the mean, median, mode, and midrange.

5. What happens to the mean, median, mode, and midrange of a data set if all numbers in the data set are increased by the same amount k? What happens to the mean, median, mode, and midrange if all values in the data set are multiplied by same nonzero amount k?