Standard Deviation Review

Which data set has the largest standard deviation?

• Set 1

• Set 2

• Set 3

• Set 4

What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

• 293.67

• 15.87

• 17.14

• 41.98

What is the standard deviation for the data given:

• 6.89

• 10.1

• 7.26

• 9

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

• 511.33

• 22.61

• 438.48

• 20.94

What is the standard deviation on this Normal Curve?

• 6

• 12

• 34

• 18

Which curve has the greater standard deviation?

• Red

• Black

• Blue

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

The following symbol represents what?

• the sample mean

• the population mean

• the sample standard deviation

• the population standard deviation

• the sample size

What does this symbol represent?

• Standard Deviation

• Variance

• Mean Absolute Deviation

• Median

Data on the weights of various dog breeds is shown. Which of the following BEST describes what would happen to the standard deviation if the average weight of a St. Bernard, which weighs around 160 pounds, was added to the list?

• The Standard Deviation will increase.

• The Standard Deviation will decrease.

• The Standard Deviation will be unchanged.

• The Standard Deviation will be impossible to calculate.

Answer explanation

Remember, the standard deviation describes how spread out the numbers are. If a data value is added to the data set that widens the range of the data, it will always increase the standard deviation.

This is true even if a value that is LOWER than all the data is added. The standard deviation will still increase, because the range of the data is widened.