Question

compare the variability of the data sets. the range for phoebe is greater than the range for chana. the iqr for phoebe is? the iqr for chana. less than greater than equal to

Explanation:

Step1: Recall the definition of IQR

IQR (Inter - Quartile Range) is calculated as \(IQR = Q_{3}-Q_{1}\), where \(Q_{1}\) is the first quartile and \(Q_{3}\) is the third quartile.

Step2: Estimate the IQR for Phoebe

Looking at Phoebe's box - plot:

• Assume \(Q_{1}\approx8\) and \(Q_{3}\approx16\)
• Then \(IQR_{Phoebe}=16 - 8=8\)

Step3: Estimate the IQR for Chana

Looking at Chana's box - plot:

• Assume \(Q_{1}\approx9\) and \(Q_{3}\approx11\)
• Then \(IQR_{Chana}=11 - 9 = 2\)

Answer:

The IQR for Phoebe is greater than the IQR for Chana.