Question

fill in the blanks with the appropriate symbols.

a) the symbol for the sample mean is ______.
b) the symbol for the population mean is ______.

a) the symbol for the sample mean is

\sigma x
\mu
\sigma
\bar{x}

Explanation:

Identify the symbol for the sample mean

The sample mean represents the average value calculated from a subset of a population. In statistics, it is conventionally denoted by the variable name with a bar over it, which is pronounced "x-bar" and written as \(\bar{x}\).

Identify the symbol for the population mean

The population mean represents the average value of all members in an entire population. In statistics, it is conventionally denoted by the lowercase Greek letter mu, which is written as \(\mu\).

Answer:

Question 1

a) The symbol for the sample mean is <blank>\(\bar{x}\)</blank>.

Question 2

b) The symbol for the population mean is <blank>\(\mu\)</blank>.