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Students at schools in different states calculated the volume of snow that it took to fill one cup of water after the snow had melted. Their results, in cups, were:

3.7,3.0,3.9,2.5,2.5,2.2
To the nearest tenth of a cup, how much greater was the mean than the median of their calculations?

Students at schools in different states calculated the volume of snow that it took to fill one cup of water after the snow had melted. Their results, in cups, were: $\newline$ $3.7,3.0,3.9,2.5,2.5,2.2$ $\newline$ To the nearest tenth of a cup, how much greater was the mean than the median of their calculations?

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Add and subtract decimals: word problems

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Q. Students at schools in different states calculated the volume of snow that it took to fill one cup of water after the snow had melted. Their results, in cups, were:

\newline

3.7,3.0,3.9,2.5,2.5,2.2

\newline

To the nearest tenth of a cup, how much greater was the mean than the median of their calculations?

Identify Data Set: Identify the given data set and arrange it in ascending order to find the median. $\newline$ Data set: $3.7, 3.0, 3.9, 2.5, 2.5, 2.2$ $\newline$ Arranged in ascending order: $2.2, 2.5, 2.5, 3.0, 3.7, 3.9$
Calculate Median: Calculate the median of the data set. $\newline$ Since there are $6$ data points, the median will be the average of the $3$ rd and $4$ th values. $\newline$ Median = $(2.5 + 3.0) / 2 = 5.5 / 2 = 2.75$
Calculate Mean: Calculate the mean of the data set. $\newline$ Mean = $(2.2 + 2.5 + 2.5 + 3.0 + 3.7 + 3.9) / 6$ $\newline$ Mean = $17.8 / 6$ $\newline$ Mean = $2.966666...$ $\newline$ To the nearest tenth, the mean is $3.0$ cups.
Find Difference: Determine how much greater the mean is than the median. $\newline$ Difference = $\text{Mean} - \text{Median}$ $\newline$ Difference = $3.0 - 2.75$ $\newline$ Difference = $0.25$ $\newline$ To the nearest tenth, the difference is $0.3$ cups.

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