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Jaimie is practicing for the long jump. Each week she makes 10 jumps and after each jump she records the distance, in meters, she reaches with each jump. Her results for this week are represented in the table below. Jump 1 2 3 4 5 6 7 8 9 10 Distance (m) 5.1 5.3 5.4 5.2 5.5 5.4 5.2 5.3 5.5 3.5 Jaimie then reviews her results and determines the mean and standard deviation so that she can compare her results from this week to her results from the previous week. Jaimie felt the 10th jump was not reflective of her ability because she stumbled before making the jump and decided to remove the 10th jump from her data set. Determine whether each statement describes the change that will occur to the mean and standard deviation from this week's results when Jaimie removes the 10th jump from her data set. Select Yes or No for each statement. Yes No Removing the 10th jump from her data set will cause her average jump distance to increase. Removing the 10th jump from her data set will cause her average jump distance to decrease. The standard deviation will increase because the jump distances will be more spread out. The standard deviation will decrease because the jump distances will be more clustered together.

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Answer:

mean=(5.1 +5.3+ 5.4 +5.2+ 5.5 +5.4+ 5.2 +5.3 +5.5+ 3.5)/10=51.4/10=5.14

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