Calculating Standard Deviation

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Objective

I can calculate standard deviation to analyze data sets.

Part 1 of 4

Warm-up video

Bozeman Science · 7:50Vetted channel

We don't generate video — this one is by Bozeman Science on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    Standard deviation measures the spread or variation in a data set, often visualized as a bell-shaped curve called a normal distribution.

  2. 2

    Approximately 68% of data points fall within one standard deviation from the mean, while 95% fall within two standard deviations.

  3. 3

    The formula for standard deviation involves calculating the square root of the variance, which is the average of the squared differences from the mean.

Part 3 of 4

Practice

3 questions

1

What does standard deviation measure in a data set?

2

Describe the relationship between a normal distribution curve and standard deviation. How does the shape of the curve change with a larger or smaller standard deviation?

Part 4 of 4

Exit ticket

Quick comprehension check

Calculate the standard deviation of the following data set: 2, 4, 6, 8, 10. Show all steps.

Sample answer included in the free materials

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