Question

each of the 7 cats in a pet store was weighed. here are their weights (in pounds). 10, 11, 12, 9, 6, 6, 8. find the median and mean weights of these cats. if necessary, round your answers to the nearest tenth. (a) median: pounds (b) mean: pounds

Explanation:

Step1: Arrange data in ascending order

6, 6, 8, 9, 10, 11, 12

Step2: Find the median

Since there are 7 data - points (an odd number), the median is the middle value. The middle value is the 4th value when the data is arranged in ascending order. So, the median is 9 pounds.

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 7$, and $\sum_{i=1}^{7}x_{i}=6 + 6+8 + 9+10+11+12=62$. Then $\bar{x}=\frac{62}{7}\approx8.9$ pounds.

Answer:

(a) 9 pounds
(b) 8.9 pounds