Question

for the following list of data, calculate (a) the mean, (b) the median, and (c) the mode or modes (if any). 6, 8, 13, 14, 20 (a) calculate the mean. the mean is . (type an integer or a decimal.)

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points and $\sum_{i=1}^{n}x_i$ is the sum of the data points. Here, $n = 5$, $x_1=6$, $x_2 = 8$, $x_3=13$, $x_4=14$, $x_5=20$.

Step2: Calculate the sum of data points

$\sum_{i = 1}^{5}x_i=6 + 8+13+14+20=61$.

Step3: Calculate the mean

$\bar{x}=\frac{61}{5}=12.2$.

Answer:

$12.2$