For any distribution. what is the z-score corresponding to the mean?


4.) For any distribution, what is the z-score corresponding to the mean What is the z-score corresponding to the 2 standard deviations above the mean? 5.) For a sample with M 80, a score of x-88 corresponds to z 2.00. What is the sample standard deviation?

Answer

Q4) Z-score corresponding to the mean is 0. As the formula for z-score is (X-mean)/Standard deviation, When X=mean then Z =0/STD.DEV =0 TWO standard deviation from the mean it means X-mean =2 Standard deviation Thus z-score = (2 standard deviation)/standard deviation =2 answer- > 0,2 Q5) Z=Zscore,X=value =88 and M=mean =mu ,Standard deviation=sigma Z=frac{x-mu }{sigma } =>2=frac{88-80}{sigma } =>sigma =4

Answer =>4

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