Answer :
The correct option d. when the standard deviation is much less than 10.
Describe the term standard deviation?
- The term "standard deviation" (or "σ") applies to a measurement of the data's dispersion from the mean.
- A low standard deviation indicate that the data are grouped around the mean, although a large standard deviation indicates that the data are more dispersed.
When a value is 10 points beyond the norm, it is said to be an extreme value or an outlier.
When a point deviates significantly from the mean in comparison to other points, it is referred to as an outlier. Z-scores can be used to establish this. Remember the z-score formula:
z = (x - μ) / σ
- μ = mean
- σ = standard deviation
- x = point of interest
The outlier should have a very big magnitude z-score. We are aware that the score in this issue is 10 points just below mean, we can say:
A lesser value of would raise the magnitude of a z-score, increasing it to the maximum extent achievable.
Therefore, this point would be an outlier whether its standard deviation was drastically lower than 10.
To know more about the standard deviation, here
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