Final answer:
The mean income of the Windsor households is $1590 with a standard deviation of $400. The standard deviation can be greater than the mean when there is a wide range of values in the data set. It is more likely for the average salary of the 1000 residents to be from $2000 to $2100 than from $2100 to $2200 due to the wedge-shaped distribution of incomes with many very poor people and few wealthy people.
Step-by-step explanation:
The subject of this question is Mathematics, and the grade level is High School.
The mean weekly income of the 10 Windsor households is $1590, and the standard deviation is $400. This means that the average income of the households is $1590, and the individual incomes vary around this mean by an average of $400.
The standard deviation can be greater than the average when there is a wide range of individual values in the data set. In this case, it indicates that the incomes of the households vary significantly from the mean value.
It is more likely that the average salary of the 1000 residents will be from $2000 to $2100 than from $2100 to $2200 because the mean salary is $2000. Since the distribution is wedge-shaped with many very poor people and few wealthy people, the majority of the residents are likely to have incomes below the mean value.