The table below summarizes the amount of milk consumed by a sample of 21 families last month.Number of families Number of gallonsper family3 34 214 7For these families, what is the mean number of gallons of milk consumed? Round your answer to the nearest tenth.
Question
The table below summarizes the amount of milk consumed by a sample of 21 families last month.Number of families Number of gallonsper family3 34 214 7For these families, what is the mean number of gallons of milk consumed? Round your answer to the nearest tenth.
Solution
To calculate the mean number of gallons of milk consumed by the families, we need to find the total amount of milk consumed and then divide it by the total number of families.
First, we calculate the total amount of milk consumed by each group of families:
- 3 families consumed 3 gallons each for a total of 3*3 = 9 gallons
- 4 families consumed 2 gallons each for a total of 4*2 = 8 gallons
- 14 families consumed 7 gallons each for a total of 14*7 = 98 gallons
Adding these amounts together, the total amount of milk consumed is 9 + 8 + 98 = 115 gallons.
There are 21 families in total (3 + 4 + 14), so the mean number of gallons consumed is 115 / 21 = 5.5 gallons.
So, the mean number of gallons of milk consumed by the families is approximately 5.5 gallons when rounded to the nearest tenth.
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