Question

Create a dot plot of the data shown below. 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24 Which measure of center would best describe a typical value of the data set? Why?

Answer 1

The mean 

nearly symmetrical

Answer 2

Answer:

Median; 23

Step-by-step explanation:

We have been given a data and we need to find the center of the given data for that we will find median of the data

For median we have two formulas

Case 1: when n is odd

$Median=\frac{n+1}{2}th\text{term}$

Case 2: when n is even

$Median=\frac{n}{2}th\text{and}\frac{n}{2}+1th\text{term}$

n is the number of observations given

Here, we have 15 observations

Then we will use the formula for when n is odd

After substituting value of n=15 in $Median=\frac{n+1}{2}$ we will get

$Median=\frac{15+1}{2}=8$

That means $8^{th}\text{term is the median}$

And our $8^{th}\text{term is 23}$

Hence, 23 is the center that would best describe a typical value of data set given.