Question

Avocado Park has an active music scene and residents attend a mean of 12.7 musical events per month with a standard deviation of 5.8 musical events.

If a newcomer to the neighborhood goes to a musical event every single night for the month of August, should that be considered unusual? What impact would this newcomer have on the mean and standard deviation?

Suppose instead that a newcomer attended 13 events in the month of August. What effect would that have on the mean and standard deviation?

The Avocado Festival is celebrated in the month of August, and residents attend 2 more events each than usual that month. What is the mean number of events attended in August? What is the standard deviation?

Since the goats arrived, the number of musical events attended has increased by 15%. What are the new mean and standard deviation of the number of musical events attended per month?If a newcomer to the neighborhood goes to a musical event every single night for the month of August, should that be considered unusual? What impact would this newcomer have on the mean and standard deviation?

Suppose instead that a newcomer attended 13 events in the month of August. What effect would that have on the mean and standard deviation?

The Avocado Festival is celebrated in the month of August, and residents attend 2 more events each than usual that month. What is the mean number of events attended in August? What is the standard deviation?

Since the goats arrived, the number of musical events attended has increased by 15%. What are the new mean and standard deviation of the number of musical events attended per month?

Answer 1

a) The month of August has 31 days.

If a newcomer to the neighbourhood goes to a musical event every single night for the month of August, that should be considered unusual because 31 is away from the mean .

This will increase both mean and standard deviation.

b) Adding any data value that is higher than the mean but within one standard deviation from the mean will increase the mean but have a negligible effect on the standard deviation.

c) If the residents attend 2 more events each than usual that month. The mean will increase by 2. New mean is 14.7. Standard deviation will remain same 5.8