Question

each of the 6 cats in a pet store was weighed. here are their weights (in pounds). 15, 13, 10, 8, 14, 10 find the mean and median weights of these cats. if necessary, round your answers to the nearest tenth. (a) mean: pounds (b) median: pounds

Explanation:

Step1: Calculate the Mean

To find the mean, we sum all the weights and divide by the number of cats (6). The weights are 15, 13, 10, 8, 14, 10. The sum is $15 + 13 + 10 + 8 + 14 + 10 = 70$. Then the mean is $\frac{70}{6} \approx 11.7$ (rounded to the nearest tenth).

Step2: Calculate the Median

First, we order the weights from least to greatest: 8, 10, 10, 13, 14, 15. Since there are 6 values (an even number), the median is the average of the two middle numbers, which are the 3rd and 4th values. The 3rd value is 10 and the 4th is 13. So the median is $\frac{10 + 13}{2} = 11.5$.

Answer:

(a) Mean: 11.7 pounds
(b) Median: 11.5 pounds