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Ling wants to determine the average distance she travels each day in her car. She records the odometer reading, which measures the distance the car has traveled, each morning for a week. What is the mean distance Ling travels each day? Show your work.( Will Mark Brainliest if answer is correct)​

Ling wants to determine the average distance she travels each day in her car She records the odometer reading which measures the distance the car has traveled e class=

Respuesta :

Answer: [tex]10,724.28[/tex]

Step-by-step explanation:

Given

Distance traveled on each consecutive day is given as

[tex]10150,10211,10424,10769,10884,11155,11477[/tex]

Mean is given by the sum of the observations divided by the total no of observations.

There are 7 observations in total, so the mean is

[tex]\Rightarrow \mu =\dfrac{10150+10211+10424+10769+10884+11155+11477}{7}\\\\\Rightarrow \mu=\dfrac{75,070}{7}\\\\\Rightarrow \mu =10,724.28[/tex]

thus, the mean is [tex]10,724.28[/tex]

The mean distance Ling travels each day is [tex]10724.28 \: \rm miles[/tex] approximately.

How to find the mean value of a data set?

The mean value of the data set is the ratio of sum of data set's values to number of values it has.

If the data set consists of values [tex]x_1, x_2, ..., x_n[/tex], then we get the mean value as:

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

For this case, we have to find the average distance(in miles) from the distance Ling traveled for 7 days.

Thus, we get the average distance he traveled as:

[tex]\overline{d} = \dfrac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477 }{7}\\\\\overline{d} = \dfrac{75070}{7} \approx 10724.28 \: \rm miles[/tex]

Thus, the mean distance Ling travels each day is [tex]10724.28 \: \rm miles[/tex] approximately.

Learn more about mean value here:

https://brainly.com/question/16118626

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