7. the table below gives the distribution of weights, to the nearest pound, for 50 lobsters harvested off…

7. the table below gives the distribution of weights, to the nearest pound, for 50 lobsters harvested off the coast of maine and 50 lobsters harvested off the coast of massachusetts.\nweight (pounds) maine massachusetts\n1 20 30\n2 20 15\n3 8 5\n4 2 0\naccording to the data, which of the following accurately compares the median weight of the lobsters harvested off the coast of maine with that of the lobsters harvested off the coast of massachusetts?\na) the median weight of the lobsters from maine is one pound more than that of the lobsters from massachusetts.\nb) the median weight of the lobsters from maine is one pound less than that of the lobsters from massachusetts.\nc) the median weight of the lobsters from maine is half a pound more than that of the lobsters from massachusetts.\nd) the median weight of the lobsters from maine is the same as that of the lobsters from massachusetts.\n8. **jonathan works at a local pet store which sells puppies. the average weight of the five puppies at the pet store is 7 pounds. one of the puppies who currently weighs 4 pounds is sold, and therefore no longer included in the average weight. how will this puppy being sold affect the average weight of puppies at the pet store?\na) the average will increase.\nb) the average will decrease.\nc) the average will remain the same.\nd) this cannot be determined.

7. the table below gives the distribution of weights, to the nearest pound, for 50 lobsters harvested off the coast of maine and 50 lobsters harvested off the coast of massachusetts.\nweight (pounds) maine massachusetts\n1 20 30\n2 20 15\n3 8 5\n4 2 0\naccording to the data, which of the following accurately compares the median weight of the lobsters harvested off the coast of maine with that of the lobsters harvested off the coast of massachusetts?\na) the median weight of the lobsters from maine is one pound more than that of the lobsters from massachusetts.\nb) the median weight of the lobsters from maine is one pound less than that of the lobsters from massachusetts.\nc) the median weight of the lobsters from maine is half a pound more than that of the lobsters from massachusetts.\nd) the median weight of the lobsters from maine is the same as that of the lobsters from massachusetts.\n8. **jonathan works at a local pet store which sells puppies. the average weight of the five puppies at the pet store is 7 pounds. one of the puppies who currently weighs 4 pounds is sold, and therefore no longer included in the average weight. how will this puppy being sold affect the average weight of puppies at the pet store?\na) the average will increase.\nb) the average will decrease.\nc) the average will remain the same.\nd) this cannot be determined.

Answer

7.

Explanation:

Step1: Calculate cumulative frequencies for Maine

For Maine, cumulative frequencies: For weight 1 pound: 20 For weight 2 pounds: 20 + 20=40 For weight 3 pounds: 40 + 8 = 48 For weight 4 pounds: 48+2 = 50 Since (n = 50) (even), the median is the average of the (\frac{n}{2}=25^{th}) and ((\frac{n}{2}+ 1)=26^{th}) ordered - data values. Both the 25th and 26th values fall in the 2 - pound weight class, so the median for Maine is 2 pounds.

Step2: Calculate cumulative frequencies for Massachusetts

For Massachusetts, cumulative frequencies: For weight 1 pound: 30 For weight 2 pounds: 30 + 15=45 For weight 3 pounds: 45 + 5 = 50 Since (n = 50) (even), the median is the average of the (\frac{n}{2}=25^{th}) and ((\frac{n}{2}+1)=26^{th}) ordered - data values. Both the 25th and 26th values fall in the 2 - pound weight class, so the median for Massachusetts is 2 pounds.

Answer:

d) The median weight of the lobsters from Maine is the same as that of the lobsters from Massachusetts.

8.

Explanation:

Step1: Find the total weight of the original five puppies

The average weight of the five puppies is 7 pounds. Using the formula (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}), where (\bar{x}=7) and (n = 5), the total weight of the five puppies is (7\times5=35) pounds.

Step2: Find the total weight of the remaining four puppies

One puppy weighing 4 pounds is sold. So the total weight of the remaining four puppies is (35−4 = 31) pounds.

Step3: Find the new average weight

The new average weight of the four puppies is (\frac{31}{4}=7.75) pounds. Since (7.75>7), the average will increase.

Answer:

a) The average will increase.