객관식
In a normal distribution, approximately what percentage of data falls below a value that is below the mean ?
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3. Describing Data Numerically
Standard Deviation
객관식
Suppose you have two histograms, A and B, each representing the distribution of exam scores for two different classes. Histogram A shows scores tightly clustered around the mean, while Histogram B shows scores spread out over a wider range. Which histogram depicts a higher ?
A
It is impossible to determine from the histograms
B
Histogram A
C
Histogram B
D
Both histograms have the same
검증된 단계별 안내1
Recall that the standard deviation measures the amount of variation or dispersion of a set of values from the mean.
Observe that Histogram A has scores tightly clustered around the mean, indicating less variability in the data.
Observe that Histogram B has scores spread out over a wider range, indicating more variability in the data.
Understand that a wider spread of data points corresponds to a higher standard deviation because the values deviate more from the mean.
Conclude that Histogram B depicts a higher standard deviation since its scores are more spread out compared to Histogram A.
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