consider the data set 10,11,12,13,14,15,16,17,18. complete parts (a) through (c) below. a. obtain the mean…

consider the data set 10,11,12,13,14,15,16,17,18. complete parts (a) through (c) below. a. obtain the mean and median of the data. the mean is 14. (type an integer or a decimal. do not round.) the median is . (type an integer or a decimal. do not round.)

consider the data set 10,11,12,13,14,15,16,17,18. complete parts (a) through (c) below. a. obtain the mean and median of the data. the mean is 14. (type an integer or a decimal. do not round.) the median is . (type an integer or a decimal. do not round.)

Answer

Explanation:

Step1: Recall median formula for odd - numbered data

For a data - set with $n$ values (where $n$ is odd), the median is the $\left(\frac{n + 1}{2}\right)$-th ordered value. Here, the data set $10,11,12,13,14,15,16,17,18$ has $n = 9$ values.

Step2: Calculate the position of the median

$\frac{n+1}{2}=\frac{9 + 1}{2}=5$.

Step3: Find the median

The 5 - th value in the ordered data set $10,11,12,13,14,15,16,17,18$ is $14$.

Answer:

$14$