Question

The data in the Table are the result of a random survey of $39$national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let $X=$the number of colors on a national flag.

$\begin{array}{|cc|}\hline X& \text{Freq.}\\ 1& 1\\ 2& 7\\ 3& 18\\ 4& 7\\ 5& 6\\ \hline\end{array}$

What is $\overline{X}$estimating?

Short answer

The sample mean is represented by $\overline{\mathrm{X}}$.

Step-by-step solution

Given Information

The data in the Table are the result of a random survey of $39$national flags (with replacement between picks) from various countries.

$\begin{array}{|cc|}\hline X& \text{Freq.}\\ 1& 1\\ 2& 7\\ 3& 18\\ 4& 7\\ 5& 6\\ \hline\end{array}$

Explanation

The sample mean is the average (or mean) value of a group of numbers drawn from a larger population of numbers, where "population" refers to all relevant data, whether or not it has been gathered.