what is the center of the data in the dot plot? number of science homework assignments each week 0 1 2 3 4 5…

what is the center of the data in the dot plot? number of science homework assignments each week 0 1 2 3 4 5 2 2.5 3 5

what is the center of the data in the dot plot? number of science homework assignments each week 0 1 2 3 4 5 2 2.5 3 5

Answer

Explanation:

Step1: Calculate the total number of data points

There are (3) dots at (0), (2) dots at (1), (5) dots at (2), (4) dots at (3), (1) dot at (4), and (7) dots at (5). The total number of data points (n=3 + 2+5 + 4+1+7=22) (an even - numbered data set).

Step2: Find the median position

For a data set with (n) values, the median position is (\frac{n}{2}) and (\frac{n}{2}+1) when (n) is even. Here, (\frac{n}{2}=\frac{22}{2} = 11) and (\frac{n}{2}+1=12).

Step3: Order the data and find the median

Order the data: (0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5,5) The (11^{th}) value is (2) and the (12^{th}) value is (3). The median (M=\frac{2 + 3}{2}=2.5)

Answer:

(2.5)