RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A z-score tells you ____
A
the standard deviation of a sampling distribution.
B
the original raw score on which it is based.
C
if the distribution it comes from is normal.
D
how many standard deviations away from the mean a score lies.
Explanation: 

Detailed explanation-1: -The z-score shows the number of standard deviations a given data point lies from the mean. So, standard deviation must be calculated first because the z-score uses it to communicate a data point’s variability.

Detailed explanation-2: -Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

Detailed explanation-3: -A z-score value of-1.0 tells us that this z-score is 1 standard deviation (because of the magnitude 1.0) below (because of the negative sign) the mean. Figure 2.

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