lazmary2002
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A surfer recorded the maximum wave height each day at the beach for 10 days. On one of the days, a storm produced unusually high waves.
Which set of statistics best describes a typical maximum wave height and how the heights vary?
mean: 3.2 
MAD: 1.36 feet

median 2.5 feet
IQR: 1 feet

Answer choices:
Both sets of statistics give the same information
The mean and MAD
The median and IQR

Respuesta :

The correct answer is the median and the IQR.

The reason for this is that when one of by numbers in the data set is an outlier (a lot bigger or smaller than the others like the waves during the day there was a storm), the mean will not be a true measure of the data. In this case, the mean will be higher than what the average should be because of that 1 number.

What happens to The MAD is similar to what happened to the mean.

The IQR and median will be measures of the central part of the data which is more like what the heights of the waves were (median) and how they varied(IQR).

The set of statistics which best describes a typical maximum wave height and how the heights vary is the median and IQR.

What is mean of data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

A surfer recorded the maximum wave height each day at the beach for 10 days. On one of the days, a storm produced unusually high waves. The data for this is given as,

  • Mean: 3.2
  • MAD: 1.36 feet
  • Median 2.5 feet
  • IQR: 1 feet

For this case, mean takes each point of data into the consideration, including any outlander, which does not provide a reliable result for skewed distribution.

The median absolute deviation (MAD) is also like mean, not have reliable for this case.

Here, the median of the data is the middle value of the data set when it arrange in ascending or descending order while IQR consider the 50% of arranged value from highest to lowest.

Thus, the set of statistics which best describes a typical maximum wave height and how the heights vary is the median and IQR.

Learn more about the mean here;

https://brainly.com/question/14532771

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