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(Solved): Annual sales, in millions of dollars, for 21 pharmaceutical companies follow. (a) Provide a five-n ...



Annual sales, in millions of dollars, for 21 pharmaceutical companies follow.
(a) Provide a five-number summary (in million dA five-number summary is made up of the following values to summarize the data.
1. Smallest value
2. First quartile \( \left(The covariance is calculated as follows.
\[
s_{x y}=\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{j}-\bar{y}\right)}{n-1}
\]
W

Annual sales, in millions of dollars, for 21 pharmaceutical companies follow. (a) Provide a five-number summary (in million dollars). (b) Compute the lower and upper limits (in million dollars). (c) Do the data contain any outliers? detecting outliers in part (c) identify this problem and allow for correction of the data entry error? (e) Show a boxplot. A five-number summary is made up of the following values to summarize the data. 1. Smallest value 2. First quartile \( \left(Q_{1}\right) \) 3. Median \( \left(Q_{2}\right) \) 4. Third quartile \( \left(Q_{3}\right) \) 5. Largest value Recall the given data. Before finding the five-number summary, arrange the given data in ascending order. Re Find the smallest value of the data. million dollars Find the largest value of the data. million dollars The covariance is calculated as follows. \[ s_{x y}=\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{j}-\bar{y}\right)}{n-1} \] We found \( \bar{x}=13, \bar{y}=7 \), and \( n=5 \). A table like the one below is a helpful way to organize the given data and calculate respective differences and their products. Complete the table.


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