Question

Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977 through 2004–2005.

• μ = 1000 FTES

• median = 1,014 FTES

• σ = 474 FTES

• first quartile = 528.5 FTES

• third quartile = 1,447.5 FTES

• n = 29 years

The population standard deviation = _____

Short answer

The population standard deviation =$\sigma =474\mathrm{FTES}$

Step-by-step solution

To find

The population standard deviation.

Explanation

The standard deviation is one of the measures of dispersion in statistics, and it is used to show how much individuals in a group differ from the mean. The population standard deviation, represented by $\sigma$, is determined using all of the data.

In the following example, we are given the following demographic parameters:

$$\begin{gathered} \mu =1000\mathrm{FTES} \\ median=1014FTES \\ \sigma =474FTES \\ firstquartile=528.5\mathrm{FTES} \\ thirdquartile=1447.5FTES \\ n=29years \end{gathered}$$

From the above given information about the population, we have $\sigma =474$

Hence the population standard deviation is 474 .