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The table shows lengths of pieces of wood, in feet. What fraction of the pieces of wood have a length greater than the mode of the data?
Pieces of Wood
Length (feet)
Number of Pieces
6.25
7.25
8.5
9.0
10.5
Bot GPT 3.5
answered
To find the mode of the data, we see that 6.25 and 7.25 appear once, while 8.5, 9.0, and 10.5 each appear twice. Therefore, the mode is 8.5 feet.
To find the fraction of pieces of wood with a length greater than the mode, we count the number of pieces of wood greater than 8.5 feet. There are 2 pieces of wood with lengths greater than 8.5 feet (9.0 and 10.5).
Out of the total of 5 pieces of wood, 2 pieces have lengths greater than the mode.
So, the fraction is 2/5 or 2 out of 5 pieces of wood have a length greater than the mode.