Problem 1. A set of 25 measurements consists of the values
3 6 7 15 12
6 8 4 5 6
5 12 1 3 3
7 5 10 8 3
9 2 6 1 5
(a) Construct a relative frequency histogram to describe the data.(10 pts) (b) Find: the
median m (5 pts), the sample mean Ă‚ÂŻx (5 pts), the sample standarddeviation s (5 pts), the
upper and lower quartiles (10 pts), the 37-th percentile (5 pts).(c) Apply Tchebisheff’s
Theorem in order to estimate the proportion of measurements thatlie in the interval
[¯x − (1.5)s, ¯x + (1.5)s] (10 pts).
