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Sedaia [141]
3 years ago
14

The number of calories burned at the gym is normally distributed with a mean of 425 and a standard deviation of 51. Find the Z-s

core for each data value.
a.)268 b.)512 c.)450
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0

Answer:

(a) -3.708

(b) 1.706

(c) 0.490

Step-by-step explanation:

The z-score of normal distribution is given as:

z=\frac{x-\mu}{\sigma}

(a)

Given:

Score is, x=268

Mean value is, \mu =425

Standard deviation is, \sigma = 51

z-score is, z=\frac{268-425}{51}=\frac{-157}{51}=-3.078

(b)

Given:

Score is, x=512

Mean value is, \mu =425

Standard deviation is, \sigma = 51

z-score is, z=\frac{512-425}{51}=\frac{87}{51}=1.706

(c)

Given:

Score is, x=450

Mean value is, \mu =425

Standard deviation is, \sigma = 51

z-score is, z=\frac{450-425}{51}=\frac{25}{51}=0.490

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