In a normal distribution, a data value located 1 standard deviations below the mean and a data value located 2.2 standard deviations above the mean have Standard Score: z =

UkusakazaL

UkusakazaL

Answered question

2021-08-06

In a normal distribution, a data value located 1 standard deviations below the mean has Standard Score: z=
In a normal distribution, a data value located 2.2 standard deviations above the mean has Standard Score: z=
In a normal distribution, the mean has Standard Score:z=

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-17Added 163 answers

z=xμσ .
1. The z-score indicates how many standard deviations above or below the mean a raw score or data item falls. The z-numerical score's value indicates the departure of the data value from the mean in units of standard deviations, and the z-sign score's indicates the direction with regard to the mean. The z-score is positive if the data value is greater than the mean. The z-score is negative if the data value is below the mean.
The data value in this case is said to be one standard deviation from the mean.
The phrase "1 standard deviation" denotes that the z-value score's must be 1, whereas the phrase "below" denotes that its sign must be negative.

b. The data value is said to be 2.2 standard deviations above the mean.
The required z-score is 2.2.

c. z=x-μσ=μ-μσ=0σ=0.
The required z-score for the mean is 0.

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