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Answer :
The weight of 824 pounds of a polar bear has a z-score of -1.50.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 950, σ = 84
For z = -1.50:
[tex]-1.50=\frac{x-950}{84}\\\\x-950=-126\\\\x=824[/tex]
The weight of 824 pounds of a polar bear has a z-score of -1.50.
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