1. For four observations, it is given that mean is 6, median is 4, and mode is 3. Find the standard deviation of this sample.
2. The data given below pertain to a random sample of disbursements of state highway funds (in millions of dollars), to different states.
|
1188
|
1050
|
2882
|
2802
|
780
|
1171
|
685
|
|
537
|
519
|
2523
|
316
|
1117
|
1578
|
261
|
(a) Find the mean, variance, and range for these data and interpret.
(b) Find lower and upper quartiles, median and interquartile range. Check for any outliers and interpret.
(c) Construct a box plot and interpret.