asked 30.6k views
5 votes
Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?

asked
User Pfulop
by
8.3k points

1 Answer

5 votes

Answer:

5.66038

Explanation:

Given

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score= (x- μ)/σ

z-score of 130= (130-100)/5.3

=30/5.3

=5.66038

answered
User Artem Pianykh
by
7.6k points

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