Goldilocks part 2

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  • After Goldilocks had solved all three of the problems on the table, she felt a bit tired and decided that she wanted to rest. She walked into the living room and found another math problem on the rug in front of three different chairs, each with a different solution on it.
  • Goldilocks solved the problem and checked the first envelope on the beige chair. She thought she had found the answer so she sat down. She quickly realized, however, that something was wrong. The chair felt much too big. She looked at her Reimann Sum, and realized it was a huge overestimate!
  • Goldilocks redid the problem, hoping to find the correct solution. Then, she moved onto the the gray chair, hoping its envelope would contain the right answer. She sat in the chair and immediately felt that it was far too small. She looked over her answer, and sighed frustratedly when she saw that it was an underestimate this time!
  • Finally, Goldilocks redid the problem for the third time, being careful to use the best formula, and double checking her answer. She sat down in the middle chair, and opened the envelope. She was relieved to find that her answer was perfect, and the chair felt just the right size.
  • By this time, Goldilocks was pretty exhausted, so she went upstairs in search of a bed to lie down for a bit. When she found the bedroom, it had three different beds, all of different heights. On each bed, was a graph that represented the bed's height. To find out which would fit Goldilocks best, she needed to find the average height value of every bed.
  • Goldilocks found the average of the red bed, and realized that the it was much too high for her to sleep on! Then, she found the average of the green bed, and knew that there's no way she would be comfortable sleeping so close to the floor. Finally, she found the average of the blue bed, and saw that it was the perfect height to match her size, and she soon fell fast asleep.
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