Finding Variance and Standard Deviation

If the sample standard deviation of a dataset is s=0, this implies:

• There are at least two different values in the dataset.

• The mean of the dataset is negative.

• All data points are identical.

• The dataset is infinite.

Which scenario best illustrates a real-world use of standard deviation?

• Counting how many items in a grocery list start with letter “C.”

• Determining how spread out daily sales figures are for a small business.

• Checking if the total frequency of data is 100%.

• Finding the sum of 10 random integers.

Which of these datasets is most likely to be grouped for standard deviation calculations due to its continuous nature?

• Number of siblings each student in class has (0, 1, 2, 3...).

• The color choices (red, blue, green) for a set of 30 students.

• The time (in seconds) it takes to run a 100-meter race

• A list of T-shirt sizes (S, M, L, XL).

Which data set has the largest standard deviation?

• Set 1

• Set 2

• Set 3

• Set 4

If the standard deviation of a data set is 4, what is the variance?

• 2

• 16

• 4

• 8

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

Given a variance of 64, what is the standard deviation?

• 8

• 4096

• 0

• 6.8

What is the standard deviation for the data population 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

Which of the following is a measure of variability?

• mean

• median

• mode

• standard deviation