Final answer:
The cumulative frequency for a weight of 27.5 pounds is 3. The weight for which the cumulative frequency is 45 is 35 pounds. There are 2 beagles that weigh between 22.5 and 29.5 pounds. There are 2 beagles that weigh more than 30.5 pounds.
Step-by-step explanation:
The cumulative frequency for a weight of 27.5 pounds can be found by adding up the frequencies of all the weights that are less than or equal to 27.5 pounds. From the given data, we can see that the cumulative frequency for the weight of 27.5 pounds is 3.
The weight for which the cumulative frequency is 45 can be found by looking for the weight value in the cumulative frequency column that is closest to 45. From the given data, we can see that the weight corresponding to a cumulative frequency of 45 is 35 pounds.
To find the number of beagles that weigh between 22.5 and 29.5 pounds, we need to calculate the difference in cumulative frequencies for those two weights. From the given data, the cumulative frequency for 22.5 pounds is 2 and for 29.5 pounds is 4. So, the number of beagles that weigh between 22.5 and 29.5 pounds is 4 - 2 = 2.
To find the number of beagles that weigh more than 30.5 pounds, we need to subtract the cumulative frequency for 30.5 pounds from the total number of beagles. From the given data, the cumulative frequency for 30.5 pounds is 3. So, the number of beagles that weigh more than 30.5 pounds is 5 - 3 = 2.