Question

Week 4 Mindtap assignment < Back to Assignment Attempts: 6 Keep the Highest: 6/8 12. Measures of variability match-up There are multiple ways to refer to or describe a variance or a standard deviation of either a population or a sample. Likewise, each measure has multiple appropriate equations or symbols. The left table consists of alternative ways of referring to each of these measures. The right table consists of equations or symbols for each of these measures. Alternative Description a. Mean squared deviation from the population mean b. Square root of the average squared distance from C. Average squared distance from M d. A measure of the average distance from the sample mean Equation or Symbol 1. V(Z(X- 2/N) 2. (X- 2/N 3. 52 4. VISS / (n-1)) For each of the following four measures, select one appropriate description from the left table (lettered) and one appropriate equation or symbol from the right table (numbered). Each answer will be used only once. Alternative Description Equation or Symbol Measure Sample variance Population variance Sample standard deviation Population standard deviation MAC 32.00

Answer 1

Sample Variance

Alternative Description:

Ans: c. Averaged Squared Distance from M

Equation or symbol:

Ans: 3. s²

Population Variance

Alternative Description:

Ans: a

Equation or symbol:

ans: 2.

$\\ 2.) \sum (x-\mu)^2/N$

Sample Standard Deviation

Alternative Description:

Ans: d.

Equation or symbol:

ans:

$\\ 4.) \sqrt (ss)/(n-1)$

Population Standard Deviation

Alternative Description:

ans:b.

Equation or symbol:

ans:

$\\ 1.) \sqrt (\sum (x-\mu)^2/N)$