OUR.6.8.15 Quartiles and Interquartile Range

Open Ended

How can the interquartile range (IQR) be used to describe the spread of data?

Multiple Choice

What is the significance of quartiles and interquartile range in data analysis?

• They help in identifying the median of the data.

• They provide a measure of the spread of the data.

• They are used to calculate the mean of the data.

• They help in identifying outliers in the data.

Open Ended

What do you notice and what do you wonder about the distributions in the two dot plots?

Open Ended

The MAD for both data sets is approximately 10.5 years. What does a MAD of 10.5 years tell us in this context?

Open Ended

Do you think the ages of the people at the first party are alike or different? What about the ages of the people at the second party?

Multiple Choice

Find the median of the data set and label it '50th percentile.'

• 15

• 20

• 25

• 30

Multiple Choice

What is the significance of the quartiles in a data set?

• They divide the data into three equal parts.

• They represent the mean of the data.

• They divide the data into four equal parts.

• They are used to calculate the mode.

Open Ended

What does the median value tell us about the ages of the partygoers?

Open Ended

Do you think this party has more or fewer children than the other one in this activity? Explain your reasoning.

Open Ended

In this context, what do the minimum and maximum values tell us?

Open Ended

Why are Q1 called 25th percentile, Q2 50th percentile, and Q3 75th percentile?

Open Ended

In this context, what does Q1 (10.5) tell us?

Open Ended

What does Q3 (29) tell us?

Open Ended

How do the five numbers help us to see the distribution of the data?

Multiple Choice

What is the interquartile range of the data set shown in the dot plot?

• 5

• 6

• 7

• 8

Open Ended

Write the five-number summary for this data set by finding the minimum, Q1, Q2, Q3, and the maximum. Explain your reasoning.

Open Ended

Write the five-number summary for this data set. Show your reasoning.

Open Ended

What is the range of Elena’s travel times?

Open Ended

What is the interquartile range (IQR) of Elena’s travel times?

Open Ended

Which data set has the smaller IQR?

Open Ended

Which data set has the smaller range?

Open Ended

What does a range of 6 minutes tell us about Elena’s travel time?

Open Ended

How can quartiles and interquartile range (IQR) help us understand data distributions?

Multiple Choice

What is the purpose of using the interquartile range (IQR) in data analysis?

• To find the average of data

• To describe the spread of data

• To identify the mode of data

• To calculate the sum of data