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 . (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 . (type an integer or a decimal. do not round.)

Answer

Explanation:

Step1: 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, $n = 9$, and $\sum_{i=1}^{9}x_{i}=10 + 11+12+13+14+15+16+17+18=\frac{(10 + 18)\times9}{2}=126$. So, $\bar{x}=\frac{126}{9}=14$.

Step2: Calculate the median

The data set $10,11,12,13,14,15,16,17,18$ is already in ascending order. Since $n = 9$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{9+1}{2}=5$-th value, which is $14$.

Answer:

The mean is 14. The median is 14.