Compare variation

The mean blood pressure was 135 mmHg in a series of adults with a standard deviation of 10 mm Hg. In the same series, the mean height was 170 cm with a standard deviation of 6 cm. Find which character shows a greater variation (write A or B).

Final Answer:

x = B

Step-by-step explanation:

$$\begin{gathered} {\mu }_1=135\text{mmHg} \\ {\sigma }_1=10\text{mmHg} \\ {\mu }_2=170\text{cm} \\ {\sigma }_2=6\text{cm} \\ C{V}_1=\frac{{\mu }_1}{{\sigma }_1}=\frac{135}{10}=\frac{27}{2}=13\frac{1}{2}=13.5 \\ C{V}_2=\frac{{\mu }_2}{{\sigma }_2}=\frac{170}{6}=\frac{85}{3}=28\frac{1}{3}\doteq 28.3333 \\ C{V}_2>C{V}_1 \\ x=B \end{gathered}$$

Try another example