Data collected on the time it takes in seconds for 86 randomly selected passages of play in a game of rugby were collected. Those times (in seconds) are shown below.

times of rugby plays36.4323.139.29.218.521.252.429.217.51134.328.445.59.256.244.550.137.27.19.210.819.948.830.527.512.322.216.823.837.93.939.715.51.912.624.47.953.84.83.846.82.822.138.71523.17.621.612.735.62.5105.639.228.412.914.75.537.2410.429.817.814.62.8342.79.820.910.327.78.38.610.2524.76.458.69.92.732.710.2242217.3

a) Compute the mean and standard deviation of the set of sample data.

Round answers to 2 decimal place(s) for the first answer box.

Put correct units in the other answer box.

mean=

standard deviation =

b) Use Chebyshev's theorem to find an interval centered about the mean times of rugby plays in which you would expect at least 75% of the data to fall.

Do not use your rounded answers from above to compute these endpoints.

Round FINAL answers to 2 decimal place(s) for the interval.

An answer might come out negative....type in the value you compute.

Put correct units in the other answer box.

( , )

c. Use Chebyshev's theorem to find an interval centered about the mean times of rugby plays in which you would expect at least 88.9% of the data to fall.

Do not use your rounded answers from above to compute these endpoints.

Round final answers to 2 decimal places for the interval.

An answer might come out negative....type in the value you compute.

Put correct units in the other answer box.

( , )