Standard Deviation and Variance

Standard Deviation and Variance

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

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The video tutorial covers measures of dispersion, focusing on variance and standard deviation. It explains how variance is calculated by squaring deviations and taking their mean, and how standard deviation is the square root of variance. The tutorial discusses the properties of standard deviation, its applications in various fields, and methods to compute it for grouped data. Examples illustrate the concepts, highlighting the importance of standard deviation in comparing data sets and assessing variability.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the three measures of dispersion mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the concept of mean deviation and its major drawback.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How is variance defined in relation to the mean?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does a small variance indicate about the data?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how standard deviation is calculated from variance.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of standard deviation in investment decisions?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How does adding a constant to each observation affect the standard deviation?

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