Exploring Standard Deviation Concepts

The video tutorial covers measures of center, including mean, median, and mode, and explains how to use a graphing calculator to find these statistics. It then introduces measures of variation, focusing on variance and standard deviation, and provides a detailed guide on calculating standard deviation by hand. The tutorial emphasizes understanding the interpretation of standard deviation rather than just the calculation process.

Which measure of center should be used if the dataset contains outliers?

• Mode

• Mean

• Range

• Median

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

If a dataset has many repeating values, which measure of center is most appropriate?

• Mode

• Median

• Mean

• Standard Deviation

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What is the mean of the second dataset mentioned in the video?

• 24

• 18

• 19

• 20

Tags

CCSS.6.SP.B.5C

What is the median of the second dataset mentioned in the video?

• 18

• 24

• 20

• 19

Tags

CCSS.6.SP.B.5C

Which measure of variation is described as the average squared distance of each value from the mean?

• Standard Deviation

• Range

• Mean Absolute Deviation

• Variance

What is the most commonly used measure of dispersion?

• Range

• Standard Deviation

• Variance

• Mean Absolute Deviation

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What is the first step in calculating standard deviation by hand?

• Find the median

• Find the mean

• Find the mode

• Find the range

What is the standard deviation of the dataset with a mean of 92 and values 85, 88, 91, 96, and 100?

• 23.14

• 29.2

• 5.4

• 4.86

What is the standard deviation of the dataset with values 3, 4, 7, 8, 11, 12, 12, 15, and 19?

• 4.86

• 23.14

• 5.4

• 4.81

What is the variance of the dataset with values 127, 81, 135, 97, 115, 72, 152, 63, and 164?

• 23.14

• 32.22

• 42.02

• 1038.13