The Truly Amazing Dudes are a group of comic acrobats. The weights (in

jamessinatraaa

jamessinatraaa

Answered question

2021-12-11

The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows.
146 192 174 177 159 87 178 152 144 148
(a) Find the mean and sample standard deviation of the weights. (Round your answers to one decimal place.)
mean 155.7 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 & Explanation

enhebrevz

enhebrevz

Beginner2021-12-12Added 25 answers

Given data:
146 192 174 177 159 87 178 152 144 148
Sol (a)
XXX(XX)21469.700094.090019236.30001317.690017418.3000334.890017721.3000453.69001593.300010.89008768.70004719.690017822.3000497.29001523.700013.690014411.7000136.89001487.700059.2900x=1557(xx)2=638.1000
sample Size =n=10
Mean =X=xn=155.7
Std dev. =s=(xx)2n1=29.1
mean155.7 lbsstandard deviation29.1 lbs
Sol (b)
one standard deviation range: (155.729.1,155.7+29.1)=(126.6,184.8)
Data values in this range: [146 174 177 159 178 152 144 148]: 8 values in this range NK Percentage =810=0.8
80% of the data lies within one standard deviation of the mean
Sol (C)
two standard deviation range: (155.7229.1,155.7+229.1)=(97.4,214)
Data values in this range: [146 174 177 159 178 152 144 148 192]: 9 values in this range
Percentage =910=0.9
90 % of the data lies within two standard deviation of the mean

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