The article \"Snow Cover and Temperature Relationships in North America and Eura

Question

The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years 1970-1979 (in million km2):

6.5    12.0    14.9    10.0    10.7    7.9    21.9    12.5    14.5    9.2

What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

The median of this sample because a potential outlier may produce a misleading mean.The mean of this sample because the mean is always the best central measure.    The mean of this sample because a potential outlier may produce a misleading median.The median of this sample because the median is always the best central measure.

Explanation / Answer

No outliers are available in this data

Further let us find mean and median for this data

Mean=Sumx/n=120.1/10=12.01

Now median=

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

6.5   7.9   9.2   10.0   10.7   12.0   12.5   14.5   14.9   21.9   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median=10.7+12.0/2=11.35

As we know that mean is better measure of central tendency. And data is not having any outlier so we will select The mean of this sample because the mean is always the best central measure.   

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