1) The five-number summary for a dataset is 6, 20, 25, 28, 30. What is the upper bound cutoff for outliers? Initialize the value of 'upper' below.
2) If a dataset is normally distributed with mean 50 and standard deviation 5, what is the left-tail area for the value 57? In other words, what proportion of data in the set is below 57? Initialize the value of 'leftTail' below.
3) If a dataset is normally distributed with mean 100 and standard deviation 8, what is the area between 105 and 110? In other words, what proportion of data in the set is between 105 and 110? Initialize the value of 'middle' below.
4) Suppose a dataset is normally distributed with mean 70 and standard deviation 11. What score in the dataset is at the 90th percentile? This is the score X such that 90% of the scores in the dataset are less than X. Initialize the value of 'x' below.
5) Dataset: 3, 10, 20
Initialize the value of 'mean' and 'sd' that represents the mean and standard deviation of the sample.