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Delectable Journeys: Finding Mean and Standard Deviation

APSTAT-L1SHT4

Delectable Journeys is a small but growing company that offers different types of guided food tours in various U. S. cities. At the end of each tour, participants are asked to rate their experience on a scale of $1$ to $5$ with $5$ being the best rating possible. The table below shows the distribution of customer ratings.

Rating (X) 1 2 3 4 5
p(X) 0.04 0.11 0.21 0.28 0.36



What is the mean and standard deviation of the customer ratings?

A

Mean $= 3.81$
Standard Deviation $= 1.15$

B

Mean $= 3.81$
Standard Deviation $= 1.33$

C

Mean $= 3.81$
Standard Deviation $= 1.50$

D

Mean $= 3$
Standard Deviation $= 1.41$

E

Mean $= 3$
Standard Deviation $= 1.50$