Answer:
Sample mean = 30
Standard deviation = 10
Step-by-step explanation:
A system with two linear equations can be modeled with the information given in order to find the sample mean (M) and the standard deviation (s):
[tex]z=\frac{X-M}{s}\\\\1.50=\frac{45-M}{s} \\1.00=\frac{40-M}{s}[/tex]
Solving the linear system:
[tex]40-M = \frac{45-M}{1.5}\\M=\frac{15}{0.5}\\M=30\\\\s=\frac{45-30}{1.5}\\s=10[/tex]
The sample mean is 30 while the standard deviation is 10.
