A supervisor finds the mean number of miles that the employees in a department live from work. He finds mc022-1.jpg and mc022-2.jpg. Which statement must be true?
He finds mc022-1.jpg and mc022-2.jpg.
To determine which statement must be true based on the given information, we need to understand the meaning of the numbers mc022-1.jpg and mc022-2.jpg.
- mc022-1.jpg: This represents the mean (average) number of miles that the employees in the department live from work.
- mc022-2.jpg: This represents the standard deviation, which is a measure of the dispersion or variation of the data.
Based on this information, we need to evaluate the statements and determine which one aligns with the given data:
1) The majority of employees live within mc022-1.jpg miles of work.
2) The distance from work is spread out evenly among employees.
3) The majority of employees live between mc022-1.jpg - mc022-2.jpg and mc022-1.jpg + mc022-2.jpg miles of work.
4) The average distance from work is mc022-2.jpg miles.
Now, we can evaluate each statement:
1) The majority of employees live within mc022-1.jpg miles of work.
This statement is not necessarily true based on the given information. The mean (mc022-1.jpg) only represents the average distance, and it doesn't provide any information about the distribution of employees' locations.
2) The distance from work is spread out evenly among employees.
This statement is not necessarily true either. The standard deviation (mc022-2.jpg) provides information about the spread or variation, but it doesn't imply an even distribution.
3) The majority of employees live between mc022-1.jpg - mc022-2.jpg and mc022-1.jpg + mc022-2.jpg miles of work.
This statement is possible to be true. Since the mean represents the average distance, and the standard deviation measures the dispersion, it is likely that the majority of employees fall within one standard deviation from the mean. However, we cannot be certain without knowing the specific distribution of the data.
4) The average distance from work is mc022-2.jpg miles.
This statement is not true. The mean (mc022-1.jpg) represents the average distance, not the standard deviation.
Therefore, based on the given information, statement 3) "The majority of employees live between mc022-1.jpg - mc022-2.jpg and mc022-1.jpg + mc022-2.jpg miles of work" is the most likely true statement, but it cannot be confirmed without further information about the data distribution.