In order to estimate how much water will be needed to supply the community of a

Question

In order to estimate how much water will be needed to supply the community of a certain town in the next decade, the town council asked the city manager to find out how much water a sample of families currently uses. The sample of 10 families used the following number of gallons (in thousands) in the past year as given: 11.2, 21.5, 16.4, 19.7, 14.6, 16.9, 32.2, 18.2, 13.1, 23.8. (a) What is the mean amount of water used per family? The median?. (b) Suppose the town council expects that 10 years from now, there will be 4500 families living in the town. How many gallons of water will be needed annually if the rate of consumption per family stays the same?. (c) Compute the range, variance, standard deviation. (d) Form the box plot and describe the shape. (e) on the basis of the results (a)-(d), if you had to make a statement to the council about the current water usage in the town, what would you say

Explanation / Answer

a)mean amount of water used per family=(11.2+ 21.5+ 16.4,+19.7+14.6+16.9+ 32.2+ 18.2+13.1+23.8)/10=18.76

The median is the middle value, so I'll have to rewrite the list in order

11.2,13.1,14.6,16.4,16.9,18.2,19.7,21.5,23.8,32.2.

The median is the middle value. In a list of ten values, that will be the(10 + 1)

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