Question

Ten friends recorded the weights of their dogs. The weights are

listed below.
Weights of dogs in pounds: 8, 14, 55, 75, 26, 38, 15, 44, 65, 48
Let m be the mean of the data, and let n be the median of the data.
Find m+n.
1,034
75
12.2
79.8

Answer 1

To find m+n, we calculated the mean (m) of the dog weights to be 38.8 pounds and the median (n) to be 41 pounds. Adding these together gives us the sum of 79.8 pounds, which corresponds to answer choice D.

Step-by-step explanation:

The question asks us to calculate the mean and median of the given data set (weights of dogs) and then find the sum of both values. First, let's find the mean (m) by adding all the dog weights and then dividing by the number of dogs, which is 10 in this case. Next, we arrange the weights in ascending order to find the median (n), which is the middle value of the ordered list.

1. Add the weights of the dogs: 8+14+55+75+26+38+15+44+65+48 = 388 pounds.
2. Divide the total weight by the number of dogs to get the mean: 388/10 = 38.8 pounds.
3. Order the weights from smallest to largest: 8, 14, 15, 26, 38, 44, 48, 55, 65, 75.
4. The median (n) is the average of the two middle numbers since there are an even number of data points, so (38+44)/2 = 41 pounds.
5. Add the mean and median to get m+n: 38.8 + 41 = 79.8.

The correct answer is D, which is 79.8.