Question

construct a data set that has the given statistics.

n = 7
\\( \overline { x } = 13 \\)
s = 0

what does the value n mean?

a. the number of values in the sample data set.
b. the difference between all the values in the sample data.
c. the range of the sample data set.
d. the mean of the sample data set.

this means there should be 7 values in the sample data set.

what does the value \\( \overline { x } \\) mean?

a. the mean of the sample data set.
b. the range of the sample data set.
c. the difference between all the values in the sample data.
d. the most common value in the sample data.

this means the sample mean of the 7 values in the sample data should be \\( \square \\).

Explanation:

In statistics, \(n\) represents the number of data points in a sample. The symbol \(\bar{x}\) is the standard notation for the sample mean. When the standard deviation \(s = 0\), all data points in the set are equal (since standard deviation measures the spread of data; a spread of 0 means no variation). Given \(\bar{x}=13\) and \(n = 7\), each of the 7 data - points must be 13.

Answer:

The sample mean of the 7 values in the sample data should be \(13\). A data set that satisfies \(n = 7\), \(\bar{x}=13\), and \(s = 0\) is \(\{13,13,13,13,13,13,13\}\).