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Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below. A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8. Which interval shows the greatest change in water bills? $150–$175 $175–$200 $200–$225 $225–$250



Answer :

$200-$225  interval shows the greatest change in water bills

What is Histogram?

A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

The interval which contains the median water bill is $200 - $225

The tabulated data  is given in the attachment.

The median class = Cummulative frequency / 2

The median class = 40 / 2

The class interval which contains the 20th frequency.

This is the 200 - 225 class

The interval which contains the median water bill is $200 - $225

Hence $200-$225  interval shows the greatest change in water bills

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