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:
\(\bar {X}=\frac{\sum X}{n}\)
\(\bar {X}=\frac{444}{9}\)
\(\bar {X}=49.33\)
Formula for standard deviation:
\(\sigma=\sqrt{\frac{\sum{(X-\bar{X})^2}}{n} }\)
\(\sigma=\sqrt{\frac{410.0001}{9}}\)
\(\sigma=\sqrt{45.5556}\)
\(\sigma=6.74949\)
\(\sigma \approx 6.7\)
Therefore the standard deviation of the data is about 6.7.
