Answer:
The standard deviation of the data is about 6.7.
Step-by-step explanation:
The given data is
46, 56, 45, 44, 45, 61, 55, 53, 39
Total number of observation is 9.
Formula for mean:
[tex]\bar {X}=\frac{\sum X}{n}[/tex]
[tex]\bar {X}=\frac{444}{9}[/tex]
[tex]\bar {X}=49.33[/tex]
Formula for standard deviation:
[tex]\sigma=\sqrt{\frac{\sum{(X-\bar{X})^2}}{n} }[/tex]
[tex]\sigma=\sqrt{\frac{410.0001}{9}}[/tex]
[tex]\sigma=\sqrt{45.5556}[/tex]
[tex]\sigma=6.74949[/tex]
[tex]\sigma \approx 6.7[/tex]
Therefore the standard deviation of the data is about 6.7.
