Solution

152722

First name
Leo, Benny, Zach and Tyler
School
University of Chicago Lab Schools
Age
10

WIPEOUT

Problem a)
Step 1: We analyzed the set of numbers and new that the crossed out number had to be lower than 4.
Step 2: We tried everything between 1-3 and found that 3 was the correct answer
Step 3: This is because the mean is higher so the crossed out number has to be lower.

Problem b)
Step 1: This problem was easier than the first because it was in the same style but we already knew a strategy.
Step 2: Using our analyzing skills we figured out that the crossed out number must be the exact same as the mean.
Step 3: Checking, we added up all the numbers except for 4 and then divided that number by 6. This equals 4 so we had the correct answer.

Problem c)
Step 1: This problem was now extremely easy because it was exactly the same so what we did was bump up the ratio by 8.
Step 2: We did this because 7+8=15 and 4+8=12 so this gave us the answer.
Step 3: To make sure we were right we used Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.
Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.

Step 3: To make sure we were right we used our checking procedure to find that we were indeed correct.

Problem d)
Step 1:This problem was a bit hard at first because we had not yet solved or even attempted a problem like this until this one.
Step 2: Since in problem c) we found that the mean was 7.714285 we knew that N had to be less than 15.
Step 3: We “wiped out” every number until we found that the number that was crossed out was 9 this yielded 6.83.

Problem e)
Step 1: This problem was probably the hardest because of the large numbers involved in it.
Step 2: So from problem d) we multiplied N and the crossed out number by 4 which yielded N as 52 and the crossed out number as 36.
Step 3: The mean was too large so we bumped 36 up by 2 to get 38 that were the crossed out number.