The fish with a z-score of 1.2 is 154.60 millimeters.
A Z-score is a metric that quantifies how closely and accurately a value relates to the measure of central tendency or mean of a set of values. the values of standard deviation from the mean are used to calculate Z-score. A Z-score of zero means the data for which the score is zero is equivalent to the mean score.
The formula for calculating a z-score is :
z = (x-μ)/σ ,
where x is the data value at a that z-score , μ is the mean of all the data and σ is the standard deviation.
Here the z-score is given as 1.2 , mean is 127 and standard deviation is 23 . Using these values we find the value of x , the length of the flounder.
So x = zσ + μ
or, x = 1.2 × 23 + 127
or, x = 27.6 + 127
or, x = 154.60 mm
Therefore the length of the 1 year old flounder is 154.60 mm .
To learn more about z-score visit:
brainly.com/question/15016913
Disclaimer: The complete question is :
The mean length of a 1 year old flounder is 127 mm and the standard deviation is 23 mm. Joe caught a one year old flounder whose length had a z score of 1.2. How long was this fish?
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