Mr. Jenning's physics class built different-shaped parachutes to see which shapes were more effective. The students tested the parachutes by dropping them from a height of 25 feet and timing the fall. They calculated the summary below:

Mean Std Dev Min Q1 Median Q3 Max

4.2 secs 0.5 sec 2.6 secs 3.4 secs 4.0 secs 5.7 secs 6.8 secs

The students want to see what happens to their times when they drop the parachutes from 35 feet. They find that every drop is increased by 1.5 seconds. Find the new mean and standard deviation.

Question

Mathematics

Jett Krueger

6 December, 13:40

Mr. Jenning's physics class built different-shaped parachutes to see which shapes were more effective. The students tested the parachutes by dropping them from a height of 25 feet and timing the fall. They calculated the summary below:

Mean Std Dev Min Q1 Median Q3 Max

4.2 secs 0.5 sec 2.6 secs 3.4 secs 4.0 secs 5.7 secs 6.8 secs

The students want to see what happens to their times when they drop the parachutes from 35 feet. They find that every drop is increased by 1.5 seconds. Find the new mean and standard deviation.

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Answers (1)

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Maxwell Yoder · Answer 1

The mean increases by 1.5 because every value is increased by 1.5, take this example.

{1, 3, 7, 9} has a mean of 5.

Add 1 to each value.

{2, 4, 8, 10} has a mean of 6.

Standard Deviation generally stays the same despite the change in values, because of it's equation is based on the mean and data values and the distance between them in the end do not change if ALL values in a data set increase/decrease by the same number.