QUESTION IMAGE
Question
comparing data sets represented in a table
the table shows the monthly data usage in gigabytes for two cell phones on a family plan.
complete the statements.
the range of data usage for the primary phone is
the range of data usage for the secondary phone is
the median data usage of the secondary phone is
gigabytes greater than the median data usage of the primary phone.
month,primary phone,secondary phone
january,0.08,0.45
february,0.07,1.18
march,0.1,0.6
april,0.13,0.5
may,0.12,0.45
june,0.14,0.82
july,0.35,0.91
august,0.1,0.68
september,0.22,0.6
Step1: Find range of primary phone
Range = Max - Min. Max of primary phone data = 0.35, Min = 0.07. So range = 0.35 - 0.07 = 0.28.
Step2: Find range of secondary phone
Max of secondary phone data = 1.18, Min = 0.45. So range = 1.18 - 0.45 = 0.73.
Step3: Find medians
Arrange primary phone data in ascending order: 0.07, 0.08, 0.1, 0.1, 0.12, 0.13, 0.14, 0.22, 0.35. Median (n = 9, middle value) = 0.12.
Arrange secondary phone data in ascending order: 0.45, 0.45, 0.5, 0.6, 0.6, 0.68, 0.82, 0.91, 1.18. Median (n = 9, middle value) = 0.6.
Difference in medians = 0.6 - 0.12 = 0.48.
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The range of data usage for the primary phone is 0.28 gigabytes.
The range of data usage for the secondary phone is 0.73 gigabytes.
The median data usage of the secondary phone is 0.48 gigabytes greater than the median data usage of the primary phone.