Mathematics: Listed below are costs in dollars of round trip flights between two cities. All flights involve one stop and a two week stay. Find a coefficient of variation for each of the two sets of data, then compare the variation. 30 days in advance: 250 286 305 256 288 282 254 1 day in advance: 454 619 557 912 619 1049 562 The coefficient of variation for the prices of tickets purchased 30 days in advance is % (round to the three decimal places as needed)

In the attached fileStep-by-step explanation:In the attached file...

Listed below are costs in dollars of round trip flights

abbyhammondd

30.01.2022

coefficient of variation = 7.108%

Step-by-step explanation:

From the given information:

The objective is to determine the coefficient of variation for the prices of tickets purchased 30 days in advance is ____%

The mean $\overline x$ = $\dfrac{250+286+305+256+288+282+254}{7}$

The mean $\overline x$ = $\dfrac{1921}{7}$

The mean $\overline x$ = 274.4285714

The standard deviation also can be computed as follows:

$\sigma =\sqrt{ \dfrac{\sum (x_i-\mu)^2}{N}}$

$\sigma =\sqrt{ \dfrac{ (250-274.43)^2+(286-274.43)^2+(305-274.43)^2+...+(254-274.43)^2}{7}}$ $\sigma =19.507$

Finally; the coefficient of variation can be calculated with the formula:

coefficient of variation = $\dfrac{\sigma}{\overline x}$

coefficient of variation = $\dfrac{19.507}{274.43}$

coefficient of variation = 0.07108

coefficient of variation = 7.108%

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