The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows. 166 184 156 183 160 89 168 146 139 145

Question

The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows.

166 184 156 183 160 89 168 146 139 145

(a) Find the mean and sample standard deviation of the weights. (Round your answers to one decimal place.)

mean

lbs

standard deviation

lbs

(b) What percent of the data lies within one standard deviation of the mean?

(c) What percent of the data lies within two standard deviations of the mean?

Answer 1

Go into your calculator stats list or Minitab or wherever you're doing this.

Fill in the data: these 10 weights.

Calculate 1-Var-Stats.

Mean = 153.6

SD = 25.9 (we're using population stan dev because this is all of the acrobats, not a sample of them)

Within one SD = 153.6 plus or minus 25.9, or (127.7, 179.5). Count how many acrobats have a weight between those and turn it into a percentage.

Within two SDs = 153.6 plus or minus 2*25.9. Same deal.

Good luck--