Question

what is the center of the data?
number of laps around a track
the center is .

Explanation:

Step1: Count the total number of data points

Count the number of dots. There are \(8 + 5+4 + 2+1=20\) data points.

Step2: Find the median position

Since \(n = 20\) (even), the median is the average of the \(\frac{n}{2}=10^{th}\) and \((\frac{n}{2}+ 1)=11^{th}\) ordered data points.

Step3: List the data in order

List the data as \(1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,5\)

Step4: Identify the \(10^{th}\) and \(11^{th}\) data points

The \(10^{th}\) data point is \(2\) and the \(11^{th}\) data point is \(2\)

Step5: Calculate the median

The median (center of the data) is \(\frac{2 + 2}{2}=2\)

Answer:

\(2\)