Week 7 Standard Deviation Error Bars

What does standard deviation measure in a data set?

• The central tendency of the data.

• The highest value in the data set.

• The spread or variation of the data.

• The total number of data points.

In a normal distribution, what percentage of individuals are typically found within one standard deviation above and below the mean?

• Approximately 34.1%

• Approximately 68%

• Approximately 95%

• Approximately 99%

If a normal distribution curve is wide and flat, what does this indicate about its standard deviation compared to a narrow, tall curve?

• It has a smaller standard deviation.

• It has a higher standard deviation.

• It has the same standard deviation.

• Standard deviation is not applicable to wide curves.

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For the data set {1, 2, 3, 4, 5}, what is the sum of the squared differences between each data point and the mean?

• 0

• 5

• 10

• 15

Drag and Identify the variables in the standard deviation formula.

a

b

c

d

Mean

sample size

Individual data point

Standard Deviation