Reviewing Data Sets

Adding New Data to a Data Set

Work Time

Adding New Data to a Data Set

Part 1

Use this data set to answer the questions that follow.
{ 1, 1, 2, 2, 2, 2, 3, 3, 4, 5 }

  1. Determine the mean and median.

  2. Identify a real-life situation that this data set could realistically represent.

  3. What happens to the mean if a new number is added to the data set—for example:

    • What if 2 is added?

    • What if 0 is added?

    • What if 8 is added?

  4. What happens to the mean if the numbers 2 and 3 are added to the given data set? Why does this result occur?

Part 2

  1. Find two numbers, that when added to the given data set, do not change the mean. How did you choose the two numbers?
  2. Find three numbers, that when added to the given data set, do not change the mean. How did you choose the three numbers?
  3. What happens to the mean if the number 30 is added to the given data set? How well does the mean represent the data set? Can you find another statistical measure that better represents the data set?
  4. Find two numbers, that when added to the given data set, change the mean but do not change the median. How did you choose the two numbers?
  5. Find two numbers, that when added to the given data set, change the median but do not change the mean. How did you choose the two numbers?