The median fraction of a pizza eaten on the basis of the given data is 3/4.
Median is the middle number, found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).
Given observations: [tex]\frac{3}{8}, 1, \frac{1}{2}, \frac{7}{8}, \frac{3}{4}[/tex]
Step 1 is to arrange the data in ascending order.
Observations in decimals to facilitate comparison:
[tex]\frac{3}{8}, 1, \frac{1}{2}, \frac{7}{8}, \frac{3}{4}\\\\0.375, 1, 0.5, 0.875, 0.75[/tex]
Observations in ascending order:
[tex]0.375, 0.5, 0.75, 0.875, 1\\\\\frac{3}{8}, \frac{1}{2}, \frac{3}{4}, \frac{7}{8}, 1[/tex]
Since, number of observations = 5, which is odd, the median is the middle observation in the organized list.
Median = 3/4 = 0.75
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