Standard deviation = 3.3
The data point = 178
The mean = 184.7
Further Explanation
To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.
The formula for calculating a Z-score is as follows
[tex]z = \frac{data Point - Mean}{Standard Deviation}[/tex]
This also implies
[tex]z = \frac{178 - 184.7}{3.3}[/tex]
[tex]Z= -2.03[/tex]
therefore, the correct answer is -2.03
A z-score determine the number of standard deviation from the mean a data point is.
some important factors about z-score include:
- if it is a positive z-score, it indicates the data point is above average
- if it is a negative Z-score, it indicates the data point is below average
- if the z-score is close to 0, it then means the data point is close to average
- if the z-score is above 3 or below -3, it is considered to be unusual
Learn More about Z-score at:
brainly.com/question/12876715
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