consider the data set 11,12,13,14,15,16,17,18,19. complete parts (a) through (c) below. a. obtain the mean…

consider the data set 11,12,13,14,15,16,17,18,19. 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 11,12,13,14,15,16,17,18,19. 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 sum of data

$11 + 12+13+14+15+16+17+18+19=\sum_{i = 11}^{19}i=\frac{(11 + 19)\times9}{2}=135$

Step2: Calculate the mean

The mean $\bar{x}=\frac{\text{Sum of data}}{\text{Number of data points}}$. There are 9 data - points. So, $\bar{x}=\frac{135}{9}=15$.

Step3: Find the median

The data set is already in ascending order. Since there are $n = 9$ (an odd number) data - points, the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{9+1}{2}=5$-th value. The 5 - th value in the data set $11,12,13,14,15,16,17,18,19$ is 15.

Answer:

The mean is 15. The median is 15.