The population standard deviation for the watermelons will be 3.02
The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Now it is given that
[tex]p(15 < x < 22)=0.754[/tex]
[tex]r=18.5\\\\\\p(15 < x < 22)=0.754\\\\\\Z=\pm1.16\\\\\\Z=\dfrac{x-\mu}{\sigma}\\\\\\-1.16=\dfrac{15-18.5}{\sigma}\\\\\\\sigma=\dfrac{-3.5}{-1.16}\\\\\\\sigma=3.01\\\\\\Z=\dfrac{x-\mu}{\sigma}\\\\\\1.16=\dfrac{22-18.5}{\sigma}\\\\\\\sigma=3.01[/tex]
So the population standard deviation for the watermelons will be 3.02
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