Question

1)1,2,3,4,5 find the mean 2)1,2,3,4,5 find the median 3)5,1,3,4,2,1 find the mode

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here $n = 5$, $x_1=1,x_2 = 2,x_3=3,x_4=4,x_5=5$. So $\sum_{i=1}^{5}x_{i}=1 + 2+3+4+5=15$, and $\bar{x}=\frac{15}{5}=3$.

Step2: Calculate the median

The data set $1,2,3,4,5$ is already in ascending - order. Since $n = 5$ (an odd number), the median is the middle - value. The middle value of a set with 5 elements is the 3rd element, so the median is 3.

Step3: Calculate the mode

The mode is the number that appears most frequently in a data set. In the set $5,1,3,4,2,1$, the number 1 appears twice and the other numbers appear only once. So the mode is 1.

Answer:

1. Mean: 3
2. Median: 3
3. Mode: 1