1. An ice-cream manufacturing company has developed a new flavour of ice-cream. In order to gather feedback on the new flavour, they conducted a taste test. Each person was asked to rate the taste of this new flavour on a scale of 1 to 7, with 7 being excellent taste and 1 being bad taste as follows:

(bad taste) 1 2 3 4 5 6 7 (excellent taste)

On the first day, a group comprising of 3 persons were asked to take the taste test. After gathering their feedback, the estimated mean and standard deviation of the ratings were computed. A mean of 4 and a standard deviation of 0 were obtained.

- What is the rating given by each of these 3 persons?

On the second day, another 15 persons were given the taste test. The feedback gathered from the total random sample of 18 persons is shown in the frequency table below:Rating1234567Frequency3733110

- What is the estimated mean of the ratings?

- What is the estimated standard deviation of the ratings?