A member of a track team was practicing the long jump and recorded the distances (in centimeters) shown in the dotplot. Some numerical summaries of the data are also provided.

After chatting with a teammate, the jumper realized that he measured his jumps from the back of the board instead of the front. Thus, he had to subtract 20 centimeters from each of his jumps to get the correct measurement for each jump.

a. What shape would the distribution of corrected long jump distance have?

b. Find the mean and median of the distribution of corrected longjump distance.

c. Find the standard deviation and interquartile range (IQR) of the distribution of corrected long-jump distance.

Transcribed Image Text:

565 570 575 580 585 Long-jump distance (cm) n Mean SD Min 04 Med 3 Max 40 577.3 4.713 564 574.5 577 581.5 586