Question

each of the 5 cats in a pet store was weighed. here are their weights (in pounds). 10, 6, 7, 6, 16. 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 sum of weights

$10 + 6+7 + 6+16=45$

Step2: Calculate the mean

The mean $\bar{x}=\frac{\text{sum of data}}{\text{number of data}}$. Here, the number of data $n = 5$. So $\bar{x}=\frac{45}{5}=9$

Step3: Arrange the data in ascending order

$6,6,7,10,16$

Step4: Find the median

Since $n = 5$ (odd - numbered data set), the median is the middle - numbered value. The middle value is the 3rd value when the data is arranged in ascending order. So the median is $7$.

Answer:

(a) Mean: 9 pounds
(b) Median: 7 pounds