What are the mean and standard deviation of his total weekly salaries?
The mean of his total weekly salaries is $\$$
(Round to the nearest integer as needed.)
Final Answer: The mean of his total weekly salaries is \(\boxed{593}\) and the standard deviation is \(\boxed{62}\).
Step 1 :Given the weekly salaries as [500, 600, 550, 700, 650, 600, 550].
Step 2 :We calculate the mean by summing all the weekly salaries and dividing by the number of weeks.
Step 3 :The mean of his total weekly salaries is calculated as \(\frac{500 + 600 + 550 + 700 + 650 + 600 + 550}{7} = 592.8571428571429\).
Step 4 :We round the mean to the nearest integer to get \(\boxed{593}\).
Step 5 :We calculate the standard deviation by taking the square root of the average of the squared differences from the Mean.
Step 6 :The standard deviation of his total weekly salaries is calculated as \(\sqrt{\frac{(500-593)^2 + (600-593)^2 + (550-593)^2 + (700-593)^2 + (650-593)^2 + (600-593)^2 + (550-593)^2}{7}} = 62.26998490772392\).
Step 7 :We round the standard deviation to the nearest integer to get \(\boxed{62}\).
Step 8 :Final Answer: The mean of his total weekly salaries is \(\boxed{593}\) and the standard deviation is \(\boxed{62}\).