Question

data were gathered from two groups and displayed in the stacked box plots.
data set a
data set b
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compare the appropriate measures of center and variability for the two sets of data.
data set a has a lower mean of 8.5, and data set b has a smaller range of 8.
data set a has a higher median of 9.5, and data set b has a greater iqr of 5.
data set a has a higher mean of 9.5, and data set b has a smaller range of 8.
data set a has a lower median of 8.5, and data set b has a greater iqr of 5.
question 1

Explanation:

Step1: Identify medians from box plots

Data Set A's median (line in box) ≈8.5; Data Set B's median≈9.5. So A has lower median.

Step2: Calculate IQR for both sets

IQR = Q3 - Q1. Data Set A: Q3-Q1≈10-7=3; Data Set B: Q3-Q1≈11-6=5. So B has greater IQR.

Step3: Match with options

Only the last option states A has lower median (8.5) and B has greater IQR (5).

Answer:

Data Set A has a lower median of 8.5, and Data Set B has a greater IQR of 5.