Z-score calc

What is the Z Score for the following numbers:

X is 16, and data for the population mean, and the standard deviation is 196, 193, 79, 30, 29, 81, 25, 21, 164

Level of difficulty = 2 of 2
Please format it to 2 decimal places.

Correct answer:

z =  -1.01

Step-by-step explanation:

X=16 s=196+193+79+30+29+81+25+21+164=818 n=9  μ=s/n=818/9=9818​=9098​≐90.8889 r=(196−μ)2+(193−μ)2+(79−μ)2+(30−μ)2+(29−μ)2+(81−μ)2+(25−μ)2+(21−μ)2+(164−μ)2=(196−90.8889)2+(193−90.8889)2+(79−90.8889)2+(30−90.8889)2+(29−90.8889)2+(81−90.8889)2+(25−90.8889)2+(21−90.8889)2+(164−90.8889)2=9394406​=4382298​≐43822.8889  σ=r/(n−1)​=43822.8889/(9−1)​≐74.0126  z=σX−μ​=74.012616−90.8889​=−1.01

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