Median and Mean examples

For each type of measure, give two examples of populations where it would be the most appropriate indication of central tendency. Each type of measure is for mean, and the median.

Trouble with Bolzano-Weierstrauss

This involves the Bolzano-Weierstrauss Theorem, I believe, but I'm not sure where to start. Prove that the set of open disks in the xy plane with cneter (x,x) and radius x > 0, x rational, is a countable covering of the set {(x,y): x > 0, y > 0}

Interpolate

(See attached file for full problem description with proper equations) --- 1. For medical purposes the level of sugar was measured in blood (in mg/dl). The samples were taken with 1/2 hour increments, as the following table shows: Initial sample 96 mg/dl After 30 min. 133 mg/dl After 60 min. 142 mg/dl After 90 min. 81 mg/dl After 120 min. 87 mg/dl Graph in MATLAB sugar curves corresponding to these data: A. By using piecewise linear function. B. By using the Lagrange interpolating polynomial (clearing stating the degree of this polynomial). C. By using any other interpolating polynomial. How would a typical polynomial of this type look? Show procedures for ob... click for more

For medical purposes the level of sugar...

(See attached file for full problem description) --- For medical purposes the level of sugar was measured in blood (in mg/dl)... ---

Legrende polynomials

(See attached file for full problem description)