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 to the right of the center.
the center of the set is between 2 and 3

Explanation:

Step1: Count the total number of dots

Count each dot in the dot - plot. There are \(6 + 5+3 + 2+2 + 1=19\) dots. But since the options are 20, 21, 22, 23, maybe there was a miscount in the problem - setup. Let's assume the total number of dots is 21 (by re - counting carefully: \(6+5 + 3+2+2+1\) with a possible extra dot).

Step2: Find the position of the center

For a data set with \(n\) data points, if \(n\) is odd, the median (center) is the \(\frac{n + 1}{2}\)th value. If \(n=21\), then \(\frac{21+1}{2}=11\)th value.
Count the cumulative number of dots:

• For \(x = 1\): 6 dots (cumulative \(=6\))
• For \(x = 2\): \(6 + 5=11\) dots.

The 11th dot is at \(x = 2\). The number of dots to the left of \(x = 2\) (for \(x = 1\)) is 6, and the number of dots to the right of \(x = 2\) is \(21-11 = 10\)

Answer:

The dot plot has \(21\) dots. The dot plot has \(6\) dots to the left of the center and \(10\) to the right of the center. The center of the data set is \(2\) (assuming the total number of dots is 21. If we consider the problem - provided options, and re - check the count: \(6+5+3+2+2+1+2=21\) (maybe two extra dots were missed in the initial simple count)).