Question

Consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. if one of the observed values is 176, what is the z score? a. 3.36 b. -2.24 c. 2.24 d. -22.00 e. 22.00

1. phucdien
The z score of the given  statement is  = 2.24
The correct option is C.
What do you mean by Z score?
The relationship between a value and the mean of a group of values is quantified by a Z-score. The Z-score is calculated using standard deviations from the mean. When a data point’s Z-score is 0, it means that it has the same score as the mean.

### How do you find z-score?

The z-score can be calculated using the formula z = (x -μ ) / σ if you know the mean and standard deviation, where x is your data point, is the mean, and is the standard deviation.

### According to the given information:

Normally distributed data set with a mean of 154 and a standard deviation of  = 9.8
if one of the observed values is 176, what is the z score.
so,
Z value  = (score –  mean)/standard deviation
Z value = (176-154)/9.8
= 2.24
The z score of the given  statement is  = 2.24
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