Question

What is the mean and median of the data set rounded to the nearest tenth

Answer 1

Mean = 13.3 pounds.

Median = 13 pounds

Step-by-step explanation:

The weight of the 6 cats are given below:

16, 16, 15, 11, 11, 11

(a)Mean

`\begin{gathered} \text{Mean}=\frac{Sum\text{ of all the weights}}{\text{Number of cats}} \\ =(16+16+15+11+11+11)/(6) \\ =(80)/(6) \\ =13.3 \end{gathered}`

The mean weight of the cats is 13.3 pounds.

(b)Median

To calculate the median, first, we arrange in ascending order.

11, 11, 11, 15, 16, 16

Next, we pick the term in the middle.

In this case, we have two numbers in the middle: 11 and 15

Therefore:

`\begin{gathered} \text{Median}=(11+15)/(2) \\ =(26)/(2) \\ =13 \end{gathered}`

The median weight of the cats is 13 pounds.