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Vinil7 [7]
2 years ago
8

If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value. 1. True

2. False
Mathematics
1 answer:
TEA [102]2 years ago
8 0

Answer: False.

Step-by-step explanation:

For any random variable x,

Formula to calculate the z-score : z=\dfrac{x-\mu}{\sigma}

, where \mu = Mean

\sigma = Standard deviation

Let x be the data point has a corresponding z-score of -1.5.

Then , we have

-1.5=\dfrac{x-\mu}{\sigma}

-1.5\sigma=x-\mu

\mu-1.5\sigma=x

i.e. x is one and a half standard deviations below the mean value.

( one and a half =1+\dfrac{1}{2}=1.5 )

Therefore , the given statement is false.

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