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rjkz [21]
1 year ago
14

Check the following data set for outliers if there is more than one answer separate them with the commas

Mathematics
1 answer:
ch4aika [34]1 year ago
8 0

We have the following data set: {245, 253, 220, 241, 282, 234, 236, 249}

The mean value is 245.

The standard deviation is 18 (rounded)

An outlier is any data that diverges significantly from the majority of the data set.

If we consider as outliers every data that distances from the mean in more than one standard deviation, then the outliers will be any data less than 227 or greater than 263

Therefore, the outliers are 220 and 282.

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3 years ago
The elevation of Location 1 is 20 feet above sea level and the elevation of Location 2 is 50 feet below sea level.
bearhunter [10]

Answer:

C.

Step-by-step explanation:

Location 1 is 20 feet ABOVE the sea level while Location 2 is 50 feet BELOW the sea level.

Location 1 would be 20

Location 2 would be -50

And think of the greater than and lesser than symbol as a alligators mouth it would go towards the bigger number so, -50 < 20, Location 1 is higher, is the answer.

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2 years ago
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Suppose that one-way commute times in a particular city are normally distributed with a mean of 15.43 minutes and a standard dev
vovikov84 [41]

Answer:

Yes, a commute time between 10 and 11.8 minutes would be unusual.

Step-by-step explanation:

A probability is said to be unusual if it is lower than 5% of higher than 95%.

We use the normal probability distribution to solve this question.

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 15.43, \sigma = 2.142

Would it be unusual for a commute time to be between 10 and 11.8 minutes?

The first step to solve this problem is finding the probability that the commute time is between 10 and 11.8 minutes. This is the pvalue of Z when X = 11.8 subtracted by the pvalue of Z when X = 10. So

X = 11.8

Z = \frac{X - \mu}{\sigma}

Z = \frac{11.8 - 15.43}{2.142}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455

X = 10

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 15.43}{2.142}

Z = -2.54

Z = -2.54 has a pvalue of 0.0055

So there is a 0.0455 - 0.0055 = 0.04 = 4% probability that the commute time is between 10 and 11.8 minutes.

This probability is lower than 4%, which means that yes, it would be unusual for a commute time to be between 10 and 11.8 minutes.

7 0
2 years ago
The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. Sandi skates along a path that can be mo
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Answer:

I think the answer is C

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