Statistics Median vs Mean and Interquartile Range vs Standard Deviation

Which of the following is a measure of variability?

• mean
• median
• mode
• standard deviation

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

• 0.53

• 0.41

• 0.35

• 0.22

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

• 2
• 16
• 4

Mrs. Jones surveyed the class for the number of letters in their given first name. The data is recorded below.
{5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8}
What is the interquartile range of the data?

• 2
• 3
• 7
• 8

Find the range of the data.

63, 71, 65, 66, 87, 53

• 32

• 33

• 34

• 35

What are the correct expressions for using the IQR to determine if there is an outlier that is a lot less and a lot greater than the other values. Hint: Choose 2 expressions.

• Q1 - 1.5(IQR)

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q3 + 1.5(IQR)

Use the interquartile range to identify any outliers in the following data.

23, 22, 25, 16, 27, 43, 29, 40, 35

• No outliers.

• 43 is an outlier.

What is the median of the data?

• 200
• 100
• 90
• 140

What is the interquartile range?

• 4
• 6
• 2
• 8

Which restaurant has a higher median wait time?

• Lucy's Steakhouse
• Gary's Grill
• They are the same