Find the Variance for the Given Data $\begin{array} { l l l l l l } \$ 663 & \$ 273 & \$ 410 & \$ 622 & \$ 174 & \$ 374 \end{array}$

question 45

Multiple Choice

Find the variance for the given data. Round your answer to one more decimal place than the original data. To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $\begin{array} { l l l l l l } \$ 663 & \$ 273 & \$ 410 & \$ 622 & \$ 174 & \$ 374 \end{array}$

• A) \(36,838.2\) dollars 2
• B) \(36,838.3\) dollars 2
• C) \(30,698.6\) dollars \(^ { 2 }\)
• D) \(1,207,582.7\) dollars \(^ { 2 }\)

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Definitions:

Centered Moving Average

Centered Moving Average is a calculation used to smooth out data series by averaging consecutive subsets of data points centered around each point, often used in time series analysis.

Least Squares

A mathematical method used in regression analysis to find the best-fitting line through a set of data points by minimizing the sum of the squares of the vertical distances of the points from the line.

Time-Series Data

Data points collected or recorded at time intervals, allowing analysis of patterns, trends, and forecasting.

Trend Equation

A mathematical formula that fits a line to a set of data points in a way that best expresses the relationship and tendency over time.