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distance from school in blocks wynn needs to find the center of the dat…

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 11 dots to the left of the
center and dots to the right of the center.
the center of the data set is
x at 2
between 2 and 3
at 3
between 3 and 4

Explanation:

Step1: Count the total number of dots

Count the dots in each column: \(6 + 5+4 + 2+2 + 1=20\)

Step2: Analyze the symmetry around the center

Since there are 20 dots, for a symmetric distribution (to find the center in terms of balance of dots), if there are 11 dots on the left - hand side, there should be \(20 - 11=9\) dots on the right - hand side.

Step3: Determine the center

By visual inspection and dot - counting balance, the center of the data set (where the number of dots on either side is as balanced as possible) is between 2 and 3.

Answer:

The dot plot has \(20\) dots. The dot plot has \(9\) dots to the right of the center. The center of the data set is between \(2\) and \(3\).