The checkout times (in minutes) for 12 randomly selected customers at a

large supermarket during the store's busiest time areas follows:

4.5, 6.0, 6.5, 6.5, 8.0, 8.5, 9.0, 9.5, 10.0 11.0 12.5, 13.0

1.do a frequency distribution with a class width of 2 minutes

(with the first class as 4.0 -5.9, etc.).

2. Identify the class midpoints for frequency distribution from Question 3.(Round the answers to two decimal places)

3. Construct the relative frequency distribution based on the frequency distribution from Question 1.

4.We usually find the mean checkout time based on the raw data. Now suppose that we don't have the raw data, but instead, we only have the frequency distribution. Find the mean checkout time based on the frequency distribution from Question 1.

(Round the answer to two decimal places) Compare your results with the "actual" mean

5.Find the standard deviation of the checkout time based on the frequency distribution

from Question 3. Please show your calculation in the following table.(Round the answer to two decimal places)Check-out time 4.0 -5.9,Frequency f, Mid-point x, x2,f * x2,f* x, Sum