use this set of data to answer the questions: 5, 6, 2, 4, 1, 1, 3, 6, 4, 2, 1\nmean:\nmedian:\nmode:

Explanation:

Step1: Calculate the mean

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, $n = 11$, and $\sum_{i=1}^{11}x_{i}=5 + 6+2 + 4+1+1+3+6+4+2+1=35$. So, $\bar{x}=\frac{35}{11}\approx3.18$.

Step2: Calculate the median

First, arrange the data in ascending order: $1,1,1,2,2,3,4,4,5,6,6$. Since $n = 11$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{11+1}{2}=6$-th value, which is $3$.

Step3: Calculate the mode

The mode is the value that appears most frequently in the data - set. The number $1$ appears $3$ times, more frequently than any other number, so the mode is $1$.

Answer:

Mean: $\frac{35}{11}\approx3.18$ Median: $3$ Mode: $1$