Question

distance from school in blocks
wynn needs to find the center of the data set shown on the dot plot.
the dot plot has dots.
the dot plot has dots to the left of the center and dots to the right of the center.
the center of the data set is

Explanation:

Step1: Count total dots

Count all the dots on the dot - plot. There are 1 + 4+3 + 2+1+1 = 12 dots.

Step2: Determine center position

For a data - set with \(n = 12\) (an even number of data points), the median (center) is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data points. \(\frac{n}{2}=6\) and \(\frac{n}{2}+1 = 7\).

Step3: Order data and find center

Ordering the data based on the dot - plot values, we find that the 6th and 7th values (when ordered) are both 2. The average of 2 and 2 is \(\frac{2 + 2}{2}=2\). There are 5 dots to the left of the center (values 1) and 5 dots to the right of the center (3 values of 3, 2 values of 4, 1 value of 5, 1 value of 6).

Answer:

The dot plot has 12 dots.
The dot plot has 5 dots to the left of the center and 5 dots to the right of the center.
The center of the data set is 2.