Question

Once each day, Erika tracks the depth of the water in her local creek. Her first nine measurements, in inches, are: 16, 15, 13, 12, 17, 14, 11, 9, 11 What is the median of her data?

Answer 1

Median = 13

Explanation:

We are given the following data:

16, 15, 13, 12, 17, 14, 11, 9, 11

Formula:

`Median:\\\text{If n is odd, then}\\\\Median = \displaystyle(n+1)/(2)th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle((n)/(2)th~term + ((n)/(2)+1)th~term)/(2)`

Sorted data: 9, 11, 11, 12, 13, 14, 15, 16, 17

Median =

`=(9+1)/(2)^(th) = 5^(th)\text{ term} = 13`

Thus, the median of the given data is 13.