Question

What is the mean and median for the length of 20.3 12.5 7.6 13.9 9.2 21.7 7.6 17.5 15.6 14.1

Answer 1

first list numbers in order
7.6
7.6
9.2
12.5
13.9
14.1
15.6
17.5
20.3
21.7

find mean (the average number of all numbers listed) by adding everything(140) then dividing how many numbers there are(10):
140 divided by 10=14
mean=14

find median (literally the middle number in the set given):
but since there's two middle numbers (13.9 & 14.1), we find the mean (aka the average) of those numbers
28 divided by 2=14
median=14

Answer 2

Mean = 14

and Median = 14

Explanation:

We are given a data set as:

20.3 12.5 7.6 13.9 9.2 21.7 7.6 17.5 15.6 14.1

there are a total of 10 data points.

Now, the mean of these data points is the average of the data set.

i.e.

`\text{Mean}=\frac{\text{Sum of data points}}{\text{Number of data points}}`

i.e.

`\text{Mean}=(20.3+12.5+7.6+13.9+9.2+21.7+7.6+17.5+15.6+14.1)/(10)\\\\\text{Mean}=(140)/(10)\\\\\text{Mean}=14`

We know that median is the central tendency of the data and it always exist in the middle of the data set.

Firstly we arrange the data points in the increasing order as follows:

7.6 7.6 9.2 12.5 13.9 14.1 15.6 17.5 20.3 21.7

Now, we know that the median of the data exist in between 13.9 and 14.1

i.e.

`\text{Median}=(13.9+14.1)/(2)\\\\\text{Median}=(28)/(2)\\\\\text{Median}=14`