Question

each of the 5 cats in a pet store was weighed. here are their weights (in pounds).
13, 9, 12, 15, 7
find the median and mean weights of these cats.
if necessary, round your answers to the nearest tenth.
(a) median: \\(\square\\) pounds
(b) mean: \\(\square\\) pounds

Explanation:

Step1: Find the Median

First, we need to order the weights from least to greatest. The weights are 13, 9, 12, 15, 7. Ordering them: 7, 9, 12, 13, 15. Since there are 5 (an odd number) values, the median is the middle value, which is the 3rd value. So the median is 12.

Step2: Find the Mean

The mean is calculated by summing all the values and dividing by the number of values. The sum of the weights is \(7 + 9 + 12 + 13 + 15 = 56\). There are 5 cats, so the mean is \(\frac{56}{5} = 11.2\).

Answer:

(a) Median: 12 pounds
(b) Mean: 11.2 pounds