A bowlers scores for nine (9) games were: 184 170 186 192 172 176 171 179 190 Us

Question

A bowlers scores for nine (9) games were: 184 170 186 192 172 176 171 179 190 Use these data as a sample and calculate the following descriptive statistics: Sample Mean, Median, 85th percentiles, Sample variance and sample standard deviation. The MBTA sampled 100 trains from the green and red lines to see if they typically ran on time. a. What is the probability of a train being both a green line train and late? b. Given that a train is on the green line, what is the probability that it is running late?

Explanation / Answer

putting above data into ascending order:

sample mean =total/9 =1620/9=180

median =(n+1)/2 th value =(9+1)/2 th value =5th value =179

85th percentile =0.85*(n+1) th value =0.85*10 =8.5 th value =(190+192)/2 =191

from above sample variance =(558/(n-1)) =558/8=69.75

sample std deviation=(69.75)1/2 =8.35

3)

a) probabilty =20/100=0.2

b) probability =20/40 =0.5

170 171 172 176 179 184 186 190 192

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