Question

1. what is the mean of the dataset 12, 1, 2?
2. what is the mean of the dataset 2, 6, 4?
3. what is the mean of the dataset 2, 3, 4, 1? type as a #
4. what is the mean of the dataset -8, 15?

the median
the median is the middle value in a sorted dataset. to find the median of a dataset, the dataset must first be sorted in ascending or descending order. the method of finding the median depends on whether the number of data values n is even or odd

• if n is odd, the median is the middle value of the sorted dataset. specifically, the median is the $\left( \frac{n + 1}{2} \

ight)$th value

• if n is even, the median is the mean of the middle two values of the sorted dataset. specifically, the median is the mean of the $\left( \frac{n}{2} \

ight)$th and $\left( \frac{n}{2} + 1 \
ight)$th values

Explanation:

Step1: Calculate mean for 12,1,2

Mean = $\frac{12 + 1 + 2}{3} = \frac{15}{3} = 5$

Step2: Calculate mean for 2,6,4

Mean = $\frac{2 + 6 + 4}{3} = \frac{12}{3} = 4$

Step3: Confirm mean for 2,3,4,1

Mean = $\frac{2 + 3 + 4 + 1}{4} = \frac{10}{4} = 2.5$

Step4: Calculate mean for -3,15

Mean = $\frac{-3 + 15}{2} = \frac{12}{2} = 6$

Answer:

1. 5
2. 4
3. 2.5
4. 6