The mean measurement is the average value of the leaves
The possible measurement of the 6th leaf is 13.3
How to determine the possible value of the 6th sample
The dataset is given as:
14.2, 13.8, 12.6, 13.4 and 11.5
Sort the data elements
11.5, 12.6, 13.4, 13.8 and 14.2
Calculate the mean
[tex]\bar x = \frac{11.5 + 12.6 + 13.4 + 13.8 + 14.2}{5}[/tex]
[tex]\bar x = \frac{65.5}{5}[/tex]
[tex]\bar x = 13.1[/tex]
So the mean is 13.1 and the median is 13.4
For the mean to increase, the 6th dataset must be greater than 13.1.
For the median to decrease, the 6th dataset must be less than 13.4
From the list of given options, the element that satisfy the above highlights is 13.3
Hence, the possible measurement of the 6th leaf is 13.3
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