QUESTION IMAGE
Question
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 gigabytes. the range of data usage for the secondary phone is gigabytes. 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 for primary phone
Range = Max - Min. For primary phone, Max = 0.35, Min = 0.07. So range = 0.35 - 0.07.
$0.35−0.07 = 0.28$
Step2: Find range for secondary phone
For secondary phone, Max = 1.18, Min = 0.45. So range = 1.18 - 0.45.
$1.18−0.45 = 0.73$
Step3: Find median for primary phone
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. There are 9 values, so median is the 5th value, which is 0.12.
Step4: Find median for secondary phone
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. There are 9 values, so median is the 5th value, which is 0.6.
Difference = 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.