chann is a video game designer. on monday, she tests a puzzle from her new game, code quest, with 5 players…
chann is a video game designer. on monday, she tests a puzzle from her new game, code quest, with 5 players. the dot - plot shows the time it takes them to complete the puzzle. what is the mean of the times? mean = 14 minutes what is the mean absolute deviation (mad) of the times? you can use a calculator to help. mad = minutes
Answer
Explanation:
Step1: Recall mean formula
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. From the dot - plot, the data points are $10,14,14,16,19$. Here $n = 5$. $\sum_{i=1}^{5}x_{i}=10 + 14+14+16+19=73$. $\bar{x}=\frac{73}{5}=14.6$.
Step2: Recall MAD formula
The mean absolute deviation $MAD=\frac{\sum_{i = 1}^{n}|x_{i}-\bar{x}|}{n}$. $|10 - 14.6|=4.6$, $|14 - 14.6| = 0.6$, $|14 - 14.6| = 0.6$, $|16 - 14.6| = 1.4$, $|19 - 14.6| = 4.4$. $\sum_{i = 1}^{5}|x_{i}-\bar{x}|=4.6+0.6 + 0.6+1.4+4.4=11.6$. $MAD=\frac{11.6}{5}=2.32$.
Answer:
$2.32$