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The student council had six fund raisers during the school year. They raised $212, $205, $206, $190, $188, and $195. Using the clustering method, what is the estimated total of money raised by the student council?

Question

The student council had six fund raisers during the school year. They raised 212,212, 205, 206,206, 190, 188,and188, and 195. Using the clustering method, what is the estimated total of money raised by the student council?

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Solution

To estimate the total amount of money raised by the student council using the clustering method, follow these steps:

  1. Look at the amounts raised: 212,212, 205, 206,206, 190, 188,and188, and 195.

  2. Cluster the amounts around a number that is easy to work with. In this case, $200 is a good number to cluster around because it's a round number close to all the amounts.

  3. Determine how much each amount is above or below $200 and keep a running total.

    • 212is212 is 12 above $200
    • 205is205 is 5 above $200
    • 206is206 is 6 above $200
    • 190is190 is 10 below $200
    • 188is188 is 12 below $200
    • 195is195 is 5 below $200

  4. Add up these differences: 12+12 + 5 + 6−6 - 10 - 12−12 - 5 = -$4

  5. Multiply the number of fund raisers (6) by the number you clustered around (200)toget200) to get 1200.

  6. Adjust this total by the sum of the differences you calculated in step 4. So, 1200−1200 - 4 = $1196.

So, the estimated total of money raised by the student council is $1196.

This problem has been solved

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