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finding the center on a dot plot number of pets the dot plot shows the …

Question

finding the center on a dot plot
number of pets
the dot plot shows the number of pets owned by the students in jayods class.
the center, or the middle value, of the data set is

Explanation:

Step1: Count the total number of dots

Count all the dots in the dot - plot. There are \(5 + 6+5 + 0+3 + 1=20\) dots.

Step2: Find the position of the median

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

Step3: Order the data and find the 10th and 11th values

Starting from the left - most value (0):

  • For \(0\): there are 5 dots (values 1 - 5)
  • For \(1\): there are 6 dots (values 6 - 11)

The 10th and 11th values are both \(1\).

Answer:

\(1\)