Question

1. the mean weight of the 34 cats and dogs at the we-love-pets animal shelter is 38 pounds. if two of the dogs that weigh 40 pounds and 60 pounds, respectively, are adopted, what is the mean weight of the remaining cats and dogs?

a. 1292
b. 37.25
c. 38.50
d. 1192

Explanation:

⚡ Using what you learned: mean (arithmetic average)

Step 1: Calculate the initial total weight

$$ \text{Total Weight} = 34 \times 38 = 1292\text{ pounds} $$

Step 2: Subtract the weights of the adopted dogs

$$ \text{New Total Weight} = 1292 - 40 - 60 = 1192\text{ pounds} $$

Step 3: Calculate the new mean weight

$$ \text{New Number of Animals} = 34 - 2 = 32 $$

$$ \text{New Mean Weight} = \frac{1192}{32} = 37.25\text{ pounds} $$

Answer:

B. 37.25