tions both equal 10. The mean and median of Bev's n = 5 observations both equal 18. %3| (a) Carol combines Al's and Bev's data into 8 observations. one collection of n Can the mean of Carol's data be calculated from the information given? If you think not, just say that. If you think it can, them calculate Carol's mean. (b) Refer to part (a). Demonstrate, by an ex- plicit example, that there is not enough information to determine Carol's median. Hint: Find two sets of data sets that sat- isfy Al's and Bev's conditions, yet, when

A First Course in Probability (10th Edition)
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The mean and median of Al's n
= 3 observa-
tions both equal 10. The mean and median of
Bev's n = 5 observations both equal 18.
(a) Carol combines Al's and Bev's data into
one collection of n
8 observations.
Can the mean of Carol's data be calculated
from the information given? If you think
not, just say that. If you think it can, them
calculate Carol's mean.
(b) Refer to part (a). Demonstrate, by an ex-
plicit example, that there is not enough
information to determine Carol's median.
Hint: Find two sets of data sets that sat-
isfy Al's and Bev's conditions, yet, when
combined, give different medians.
Transcribed Image Text:The mean and median of Al's n = 3 observa- tions both equal 10. The mean and median of Bev's n = 5 observations both equal 18. (a) Carol combines Al's and Bev's data into one collection of n 8 observations. Can the mean of Carol's data be calculated from the information given? If you think not, just say that. If you think it can, them calculate Carol's mean. (b) Refer to part (a). Demonstrate, by an ex- plicit example, that there is not enough information to determine Carol's median. Hint: Find two sets of data sets that sat- isfy Al's and Bev's conditions, yet, when combined, give different medians.
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