Question

What weight would give a newborn a z-score of −0. 75? grams.

Answer 1

The weight would give a newborn a z-score of −0. 75 with mean 3500 g and standard deviation 500 g is 3125 grams.

What is the normally distributed data?

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

A newborn who weighs 2,500 g or less has a low birth weight. use the information on he right to find the z score of a 2,500 g baby.

From the given parameters, the mean of the data is,

$\mu=3500$

The standard deviation of the data is,

$\sigma=500$

Thus, the z score can be given as,

$z=\dfrac{x-\mu}{\sigma}\\-0.75=\dfrac{x-3500}{500}\\x=3125$

Hence, the weight would give a newborn a z-score of −0.75 with mean 3500 g and standard deviation 500 g is 3125 grams.

Learn more about the normally distributed data here;

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