Find the Variance for the Given Data $\begin{array} { l l l l l l } 61 & 33 & 18 & 51 & 56 & 18 \end{array}$

question 62

Short Answer

Find the variance for the given data. Round your answer to one more decimal place than the original data.
-The owner of a small manufacturing plant employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below:

$\begin{array} { l l l l l l } 61 & 33 & 18 & 51 & 56 & 18 \end{array}$

A) $15.0 \mathrm { mi } ^ { 2 }$
B) $17.9 \mathrm { mi } ^ { 2 }$
C) $10,914.2 \mathrm { mi } ^ { 2 }$
D) $366.7 \mathrm { mi } ^ { 2 }$

• A) \(15.0 \mathrm { mi } ^ { 2 }\)
• B) \(17.9 \mathrm { mi } ^ { 2 }\)
• C) \(10,914.2 \mathrm { mi } ^ { 2 }\)
• D) \(366.7 \mathrm { mi } ^ { 2 }\)

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Definitions:

Continuous Variables

Variables that can take an infinite number of values within a given range, including decimals and fractions.

Binomial Random Variable

A type of random variable that takes on a fixed number of possible outcomes, with each outcome having a constant probability of occurrence in each independent trial.

Normal Curve

A symmetric, bell-shaped curve representing the distribution of a set of data where most occurrences take place near the mean and probabilities for values taper off equally on both sides.

Continuity Correction

An adjustment made when approximating a discrete distribution with a continuous distribution.